Skip to main content

High Critical Temperature Superconductor Josephson Junctions and Other Exotic Structures

  • Chapter
  • First Online:
Fundamentals and Frontiers of the Josephson Effect

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 286))

  • 3912 Accesses

Abstract

Who would have imagined a supercurrent flowing between two phase coherent electrodes at 100 K? Josephson junctions (JJs) based on high temperature superconductors (HTS) can actually sustain large supercurrents at such unprecedented high temperatures. They are as well the first example of a wide class of devices based on exotic materials. In this chapter, we examine the properties of different types of HTS-based junctions and discuss notions on fabrication which is useful to classify junction properties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. C.C. Tsuei, J.R. Kirtley, Pairing symmetry in cuprate superconductors. Rev. Mod. Phys. 72, 969–1016 (2000)

    Article  ADS  Google Scholar 

  2. H. Hilgenkamp, J. Mannhart, Grain boundaries in high-\({T}_{c}\) superconductors. Rev. Mod. Phys. 74, 485–549 (2002)

    Article  ADS  Google Scholar 

  3. F. Tafuri, J.R. Kirtley, Weak links in high critical temperature superconductors. Rep. Prog. Phys. 68, 2573–2663 (2005)

    Article  ADS  Google Scholar 

  4. H. Silver, L.A. Abelson, J.M. Murduck, Josephson junction properties, in Handbook of Superconducting Materials, Chapter E4.1, ed. by D.A. Cardwell, D.S. Ginley (Institute of Physics 2003), pp. 1757–1778

    Google Scholar 

  5. K. Verbist, A.V. Vasiliev, G. Van Tendeloo, Y\(_{2}\)O\(_{3}\) inclusions in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\) thin films. Appl. Phys. Lett. 66, 1424–1426 (1995)

    Article  ADS  Google Scholar 

  6. S. Rozeveld, K.L. Merkle, K. Char, Interface microstructure and composition of a YBa\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\)/N/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\) SNS edge junction with CaRuO\(_{3}\) as the metallic barrier. Phys. C 252, 348–360 (1995)

    Article  ADS  Google Scholar 

  7. S. Graser, P. Hirschfeld, J. Peter, T. Kopp, R. Gutser, B. Andersen, B. Møller, J. Mannhart, How grain boundaries limit supercurrents in high-temperature superconductors. Nat. Phys. 6, 609–614 (2010)

    Article  Google Scholar 

  8. P. Chaudari, J. Mannhart, D. Dimos, C.C. Tsuei, C.C. Chi, M.M. Oprysko, M. Scheuermann, Direct measurement of the superconducting properties of single grain boundaries in \(Y_{1}\)Ba\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\). Phys. Rev. Lett. 60, 1653–1656 (1988)

    Article  ADS  Google Scholar 

  9. D. Dimos, P. Chaudhari, J. Mannhart, Superconducting transport properties of grain boundaries in \(YBa_{2}Cu_{3}O_{7}\) bicrystals. Phys. Rev. B 41, 4038–4049 (1990)

    Article  ADS  Google Scholar 

  10. H. Hilgenkamp, J. Mannhart, Superconducting and normal-state properties of \(YBa_{2}Cu_{3}O_{7}\) bicrystal grain boundary junctions in thin films. Appl. Phys. Lett. 73, 265–267 (1998)

    Article  ADS  Google Scholar 

  11. Z.G. Ivanov, P.A. Nilsson, D. Winkler, J.A. Alarco, T. Claeson, E.A. Stepansov, A.Ya. Tsalenchuk, Weak links and dc SQUIDS on artificial nonsymmetric grain boundaries in \(Y_{1}\)Ba\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\). Appl. Phys. Lett. 59, 3030–3032 (1991)

    Article  ADS  Google Scholar 

  12. R. Gross, P. Chaudari, M. Kawasaki, A. Gupta, Scaling behavior in electrical transport across grain boundaries in superconductors. Phys. Rev. B 42, 10735–10737 (1992)

    Article  ADS  Google Scholar 

  13. N.F. Heinig, R.D. Redwing, J.E. Nordman, D.C. Larbalestier, Strong to weak coupling transition in low misorientation angle thin film \(Y_{1}\)Ba\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\) bicrystals. Phys. Rev. B 60, 1409–1417 (1999); N.F. Heinig, R.D. Redwing, I.F. Tsu, A. Gurevich, J.E. Nordman, S.E. Babcock, D.C. Larbalestier, Evidence for channel conduction in low misorientation angle [001] tilt \(Y_{1}\)Ba\(_{2}\)Cu\(_{3}\)O\(_{7-{\delta }}\) bicrystal films. Appl. Phys. Lett. 69, 577–579 (1996)

    Google Scholar 

  14. N. Koshizuka, T. Takagi, J.G. Wen, K. Nakao, T. Usagawa, Y. Eltsev, T. Machi, Critical currents and microstructures of LPE grown YBCO bicrystal films with large single facet grain boundaries. Phys. C: Supercond. 337, 1–6 (2000) Y. Eltsev, K. Nakao, Y. Yamada, I. Hirabayashi, Y. Ishimaru, K. Tanabe, Y. Enomoto, J.G. Wen, N. Koshizuka, Charge transport across 45\(^{\circ }\) asymmetrical grain boundary fabricated in \(YBa_{2}Cu_{3}O_{7-x}\) films grown by the liquid phase epitaxy. Phys. C: Supercond. 357–360, 1572–1575 (2001); Y.F. Eltsev, K. Nakao, Y. Yamada, I. Hirabayashi, Y. Ishimaru, K. Tanabe, Y. Enomoto, J. Wen, N. Koshizuka, Transport properties of bicrystal Josephson junctions in Y-Ba-Cu-O films grown by liquid phase epitaxy. IEEE Trans. Appl. Supercond.11, 3784–3787 (2001)

    Google Scholar 

  15. P. Seidel, Josephson effects in iron based superconductors. Supercond. Sci. Tech. 24, 043001–043021 (2011)

    Article  ADS  Google Scholar 

  16. P.A. Rosenthal, M.R. Beasley, K. Char, M.S. Colclough, G. Zaharchuk, Flux focusing effects in planar thin film grain boundary Josephson junctions. Appl. Phys. Lett. 59, 3482–3484 (1991)

    Article  ADS  Google Scholar 

  17. M.V. Lyatti, U. Poppe, Y.Y. Divin, Electrical transport and noise properties of [100]-tilt YBa\(_2\)Cu\(_3\)O\(_7\) grain-boundary junctions with high I\(_c\)R\(_n\) product. IEEE Trans. Appl. Supercond. 17, 314–317 (2007)

    Article  ADS  Google Scholar 

  18. G. Hammerl, A. Schmehl, R.R. Schulz, B. Goetz, H. Bielefeldt, C.W. Schneider, H. Hilgenkamp, J. Mannhart, Enhanced supercurrent density in polycrystalline YBaCuO at 77 K from calcium doping of grain boundaries. Nature 407, 162–164 (2000)

    Article  ADS  Google Scholar 

  19. A. Schmehl, B. Goetz, R.R. Schulz, C.W. Schneider, H. Bielefeldt, H. Hilgenkamp, J. Mannhart, Doping-induced enhancement of the critical currents of grain boundaries in YBaCuO. Eur. Lett. 47, 110–115 (1999)

    Article  ADS  Google Scholar 

  20. G.A. Daniels, A., Gurevich, D.C., Larbalestier, Improved strong magnetic field performance of low angle grain boundaries of calcium and oxygen overdoped YBa\(_2\)Cu\(_3\)O\(_x\). Appl. Phys. Lett. 77, 3251–3253 (2000)

    Article  ADS  Google Scholar 

  21. J.P. Sydow, M. Berninger, R.A. Buhrman, B.H. Moeckly, On the characteristic voltage of highly oxygenated YBCO grain boundary junctions. Supercond. Sci. Tech. 12, 723–725 (1999)

    Article  ADS  Google Scholar 

  22. B.H. Moeckly, R.A. Buhrman, Electromagnetic properties of YBaCuO thin-film grain-boundary weak links. IEEE Trans. Appl. Supercond. 5, 3414–3417 (1995)

    Article  ADS  Google Scholar 

  23. B.H. Moeckly, D.K. Lathrop, R.A. Buhrman, Electromigration study of oxygen disorder and grain-boundary effects in YBaCuO thin films. Phys. Rev. B 47, 400–417 (1993)

    Article  ADS  Google Scholar 

  24. M. Kawasaki, P. Chaudari, A. Gupta, 1/f noise in YBa\(_2\)Cu\(_3\)O\(_7\) superconducting bicrystal grain-boundary junctions. Phys. Rev. Lett. 68, 1065–1068 (1992); E. Sarnelli, P. Chaudari, J. Lacey, Residual critical current in high T\(_c\) bicrystal grain boundary junctions. Appl. Phys. Lett. 62, 777–789 (1993)

    Article  ADS  Google Scholar 

  25. K. Char, M.S. Colclough, S.M. Garrison, N. Newman, G. Zaharchuk, Biepitaxial grain boundary junctions in YBa\(_2\)Cu\(_3\)O\(_7\). Appl. Phys. Lett. 59, 733–735 (1991)

    Article  ADS  Google Scholar 

  26. S.J. Rosner, K. Char, G. Zaharchuk, Microstructure of biepitaxial grain boundary junctions in YBa\(_2\)Cu\(_3\)O\(_7\). Appl. Phys. Lett. 60, 1010–1012 (1992)

    Article  ADS  Google Scholar 

  27. K. Char, M.S. Colclough, L.P. Lee, G. Zaharchuk, Extension of the bi-epitaxial Josephson junction process to various substrates. Appl. Phys. Lett. 59, 2177–2179 (1991)

    Article  ADS  Google Scholar 

  28. Yu.A. Boikov, Z.G. Ivanov, T. Claeson, Electromagnetic radiation induced current steps in biepitaxial Josephson junctions. Supercond. Sci. Tech. 10 801–806(1997)

    Article  ADS  Google Scholar 

  29. T. Takami, K. Kuroda, K. Kojima, M. Kataoka, J. Tanimura, O. Wada, T. Ogama, 45\(^{\circ }\) grain boundary junctions in (001)-oriented BiSrCaCuO films. Jpn. J. Appl. Phys. 32, L583–L585 (1993)

    Article  ADS  Google Scholar 

  30. A. Pfuch, F. Schmidl, A. Wiese, L. Dörrer, U. Hübner, P. Seidel, Several kinds of Josephson junctions based on BSCCO-2212 and TBCCO-2212 thin films. Cryogenics 37(37), 685–689 (1997)

    Article  ADS  Google Scholar 

  31. F. Tafuri, F. Miletto Granozio, F. Carillo, A. Di Chiara, K. Verbist, G. Van Tendeloo, Microstructure and Josephson phenomenology in 45\(^{\circ }\) tilt and twist \({\rm YBa}_{2}{\rm Cu}_{3}{\rm O}_{7 -\delta }\) artificial grain boundaries. Phys. Rev. B 59, 11523–11531 (1999)

    Google Scholar 

  32. F. Lombardi, F. Tafuri, F. Ricci, F. Miletto Granozio, A. Barone, G. Testa, E. Sarnelli, J.R. Kirtley, C.C. Tsuei, Intrinsic \(d\)-Wave Effects in YBa\(_2\)Cu\(_3\)O\(_{7-x}\) Grain Boundary Josephson Junctions. Phys. Rev. Lett. 89, 207001–207004 (2002)

    Google Scholar 

  33. F. Miletto Granozio, U. Scotti di Uccio U., F. Lombardi, F. Ricci, F. Bevilacqua, G. Ausanio, F. Carillo, F. Tafuri, Structure and properties of a class of CeO\(_{2}\)-based YBa\(_2\)Cu\(_3\)O\(_{7-\delta }\) biepitaxial Josephson junctions. Phys. Rev. B 67, 184506–184514 (2003)

    Google Scholar 

  34. D. Stornaiuolo, G. Papari, N. Cennamo, F. Carillo, L. Longobardi, D. Massarotti, A. Barone, F. Tafuri, High quality factor HTS Josephson junctions on low loss substrates. Supercond. Sci. Tech. 24, 045008 (2011)

    Article  ADS  Google Scholar 

  35. Z.G. Ivanov, E.A. Stepantsov, T. Claeson, F. Wenger, S.Y. Lin, N. Khare, P. Chaudari, Highly anisotropic supercurrent transport in YBa\(_2\)Cu\(_3\)O\(_{7-\delta }\) bicrystal Josephson junctions. Phys. Rev. B 57, 602–607 (1998)

    Article  ADS  Google Scholar 

  36. I. Takeuchi, Y. Gim, F.C. Wellstood, C.J. Lobb, Z, Trajanovic, T. Venkatesan, Systematic study of anisotropic Josephson coupling between YBa\(_2\)Cu\(_3\)O\(_{7-x}\) and PbIn using in-plane aligned a-axis films. Phys. Rev. B 59, 7205 (1999)

    Article  ADS  Google Scholar 

  37. T. Bauch, F. Lombardi, F. Tafuri, A. Barone, G. Rotoli, P. Delsing, T. Claeson, Macroscopic quantum tunneling in \(d\)-Wave YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions. Phys. Rev. Lett. 94, 087003–087006 (2005)

    Article  ADS  Google Scholar 

  38. T. Bauch, T. Lindstrom, F. Tafuri, G. Rotoli, P. Delsing, T. Claeson, F. Lombardi, Quantum dynamics of a d-wave Josephson junction. Science 311, 57–60 (2006)

    Article  ADS  Google Scholar 

  39. L. Longobardi, D. Massarotti, D. Stornaiuolo, L. Galletti, G. Rotoli, F. Lombardi, F. Tafuri, Direct Transition from Quantum Escape to a Phase Diffusion Regime in YBaCuO Biepitaxial Josephson Junctions. Phys. Rev. Lett. 109, 050601–050604 (2012)

    Google Scholar 

  40. D. Massarotti, L. Longobardi, L. Galletti, D. Stornaiuolo, D. Montemurro, G.P. Pepe, G. Rotoli, A. Barone, F. Tafuri, Escape dynamics in moderately damped Josephson junctions. Low Temp. Phys. 38, 263–272 (2012)

    Article  ADS  Google Scholar 

  41. D. Massarotti, D. Stornaiuolo, P. Lucignano, L. Galletti, D. Born, G. Rotoli, F. Lombardi, L. Longobardi, A. Tagliacozzo, F. Tafuri, Breakdown of the escape dynamics in Josephson junctions. Phys. Rev. B 92, 054501–054507 (2015)

    Article  ADS  Google Scholar 

  42. D. Stornaiuolo, G. Rotoli, K. Cedergren, D. Born, T. Bauch, F. Lombardi, F. Tafuri, Submicron YBaCuO biepitaxial Josephson junctions: d-wave effects and phase dynamics. Jour. Appl. Phys. 107, 113901–113606 (2010)

    Article  ADS  Google Scholar 

  43. D. Stornaiuolo, G. Rotoli, D. Massarotti, F. Carillo, L. Longobardi, F. Beltram, F. Tafuri, Resolving the effects of frequency-dependent damping and quantum phase diffusion in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions. Phys. Rev. B 87, 134517–134523 (2013)

    Article  ADS  Google Scholar 

  44. R.W. Simon, J.F. Burch, K.P. Daly, W.D. Dozier, R. Hu, A.E. Lee, J.A. Luine, H.M. Manasevit, C.E. Platt, S.M. Scharzberg, D. St. John, M.S. Wire, M.J. Zani, Progress towards a YBCO circuit process, in Science and Technology of thin film superconductors, vol. 2, ed. by R.D. McConnel, R. Noufi (IPlenum New York, 1990), pp. 549–558

    Google Scholar 

  45. J. Luine, J. Bulman, J. Burch, K. Daly, A. Lee, C. Pettiette-Hall, S. Schwarzbek, D. Miller, Characteristics of high performance YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) step-edge junctions. Appl. Phys. Lett. 61, 1128–1130 (1992)

    Article  ADS  Google Scholar 

  46. C.L. Jia, B. Kabius, K. Urban, G.J. Cui, J. Schubert, W. Zander, A.I. Braginsky, C. Heiden, The microstructure of epitaxial YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) films on steep steps in LaAlO3 substrates. Physica C: Supercond. 196, 211–226 (1991)

    Article  ADS  Google Scholar 

  47. H.R. Yi, Z.G. Ivanov, D. Winkler, Y.M. Zhang, H. Olin, P. Larsson, and T. Claeson, Improved step edges on LaAlO substrates by using amorphous carbon etch masks. Appl. Phys. Lett. 65, 1177–1179 (1994); H.R. Yi, M. Gustafsson, D. Winkler, E. Olsson and T. Claeson, Electromagnetic and microstructural characterization of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) step edge junctions on (001) LaAlO\(_{3}\) substrates. Jour. Appl. Phys. 79, 9213–9220(1996); H.R.Yi , D. Winkler, T. Claeson, Junction parameters of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) step edge junctions on LaAlO\(_{3}\)substrates from Fiske resonances. Appl. Phys. Lett. 66, 1677–1679 (1995)

    Google Scholar 

  48. F. Lombardi, Z.G. Ivanov, G.M. Fischer, E. Olsson, T. Claeson, Transport and structural properties of the top and bottom grain boundaries in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) step-edge Josephson junctions Appl. Phys. Lett. 72, 249–251 (1998)

    Google Scholar 

  49. K. Hermann, G. Kunkel, M. Siegel, J. Schubert, W. Zander, A.I. Braginski, C.L. Jia, B. Kabius, K. Urban, Correlation of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) step-edge junction characteristics with microstructure. Jour. Appl. Phys. 78, 1132–1139 (1995)

    Article  ADS  Google Scholar 

  50. C.L. Jia, B. Kabius, K. Urban, K. Herrman, G.J. Cui, J. Schubert, W. Zander, A.I. Braginski, C. Heiden, Microstructure of epitaxial YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) films on step-edge SrTiO\(_{3}\) substrates. Physica C: Supercond. 175, 545–554 (1991)

    Article  ADS  Google Scholar 

  51. J. Ramos, Z.G. Ivanov, E. Olsson, S. Zarembinski, T. Claeson, YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions on directionally ion beam etched MgO substrates. Appl. Phys. Lett. 63, 2141–2143 (1993)

    Article  ADS  Google Scholar 

  52. J.A. Edwards, J.S. Satchell, N.G. Chew, R.G. Humphreys, M.N. Keene, O.D. Dosser, YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) thin-film step junctions on MgO substrates. Appl. Phys. Lett. 60, 2433–2435 (1992)

    Article  ADS  Google Scholar 

  53. C.P. Foley, S. Lam, B. Sankrithyan, Y. Wilson, J.C. Macfarlane, L. Hao, The effects of step angle on step-edge Josephson junctions on MgO. IEEE Trans. Appl. Supercond. 7, 3185–3188 (1997)

    Article  ADS  Google Scholar 

  54. E.E. Mitchell, C.P. Foley, YBCO step-edge junctions with high I\(_c\) R\(_n\). Supercond. Sci. Tech. 23, 065007–065016 (2010)

    Article  ADS  Google Scholar 

  55. S.K.H. Lam, J. Lazar, J. Du, C.P. Foley, Critical current variation in YBa\(_2\) Cu\(_3\) O\(_7\) step-edge junction arrays on MgO substrates. Supercond. Sci. Tech. 27, 055011–055017 (2014)

    Article  ADS  Google Scholar 

  56. E.E. Mitchell, J.C. Macfarlane, C.P. Foley, Transport properties of variable-angle YBa\(_2\) Cu\(_3\) O\(_7\) step-edge junctions in the a-b plane. Supercond. Sci. Tech. 24, 055004–055012 (2011)

    Article  ADS  Google Scholar 

  57. Tafuri, F., Carillo, F., Lombardi, F., Miletto Granozio, F., Ricci, F., Scotti di Uccio, U., Barone, A., Testa, G., Sarnelli, E., Kirtley, J.R., Feasibility of biepitaxial YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions for fundamental studies and potential circuit implementation. Phys. Rev. B 62,14431–14438 (2000)

    Article  ADS  Google Scholar 

  58. U. Poppe, Y.Y. Divin, M.I. Faley, J.S. Wu, C.L. Jia, P. Shadrin, K. Urban, Properties of YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) thin films deposited on substrates and bicrystals with vicinal offcut and realization of high I\(_{c}\)R\(_{n}\) junctions. IEEE Trans. Appl. Supercond. 11, 3768–3771 (2001)

    Article  ADS  Google Scholar 

  59. Y.Y. Divin, U. Poppe, C.L. Jia, P.M. Shadrin, K. Urban, Structural and electrical properties of YBaCuO [100]-tilt grain boundary Josephson junctions with large I\(_{c}\)R\(_{n}\)-products on SrTiO bicrystals. Phys. C: Supercond. 372–376. Part 1, 115–118 (2002)

    Article  ADS  Google Scholar 

  60. M.I. Faley, D. Meertens, U. Poppe, R.E. Dunin-Borkowski, Graphoepitaxial high-T\(_c\) SQUIDs. J. Phys.: Conf. Ser. 507, 042009–042012 (2014)

    Google Scholar 

  61. M.I. Faley, U. Poppe, R.E. Dunin-Borkowski, M. Schiek, F. Boers, H. Chocholacs, J. Dammers, E. Eich, N.J. Shah, A.B. Ermakov, Y.Y. Slobodchikov, Y.V. Maslennikov, V.P. Koshelets, High- T\(_c\) DC SQUIDs for Magnetoencephalography. IEEE Trans. Appl. Supercond. 23, 1600705–1600705 (2013)

    Article  Google Scholar 

  62. S.K. Tolpygo, J.-Y. Lin, M. Gurvitch, S.Y. Hou, J.M. Phillips, Effect of oxygen defects on transport properties and Tc of YBa\(_{2}\)Cu\(_{3}\)O\(_{6+x}\): Displacement energy for plane and chain oxygen and implications for irradiation-induced resistivity and Tc suppression. Phys. Rev. B 53, 12462–12474 (1996)

    Article  ADS  Google Scholar 

  63. S.K. Tolpygo, S. Shokhor, B. Nadgorny, J.-Y. Lin, M. Gurvitch, A. Bourdillon, S.Y. Hou, J.M. Phillips, High quality YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions made by direct electron beam writing. Appl. Phys. Lett. 63, 1696–1698 (1993)

    Article  ADS  Google Scholar 

  64. B.A. Davidson, J.E. Nordman, B.M. Hinaus, M. Rzchowski, K. Siangchaev, M. Libera, Superconductor?normal?superconductor behavior of Josephson junctions scribed in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) by a high?brightness electron source. Appl. Phys. Lett. 68, 3811–3813 (1996)

    Article  ADS  Google Scholar 

  65. A.J. Pauza, W.E. Booij, K. Herrmann, D.F. Moore, M.G. Blamire, D.A. Rudman, L.R. Vale, Electron-beam damaged high-temperature superconductor Josephson junctions. Jour. Appl. Phys. 82, 5612–5632 (1997)

    Article  ADS  Google Scholar 

  66. A.J. Pauza, D.F. Moore, A.M. Campbell, A.N. Broers, K. Char, Electron beam damaged high-T\(_{c}\) junctions-stability, reproducibility and scaling laws, IEEE Trans. Appl. Supercond. 5, 3410–3413 (1995); W.E. Booij, A.J. Pauza, E.J. Tarte, D.F. Moore, M.G. Blamire, Proximity coupling in high-T\(_{c}\) Josephson junctions produced by focused electron beam irradiation Phys. Rev. B 55, 14600–14609 (1997)

    Article  ADS  Google Scholar 

  67. D.J. Kang, G. Burnell, S.J. Lloyd, R.S. Speaks, N.H. Peng, C. Jaynes, R. Welb, J.H. Yun, S.H. Moon, B. Oh, E.J. Tarte, D.F. Moore, M.G. Blamire, Realization and properties of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) Josephson junctions by metal masked ion damage technique. Appl. Phys. Lett. 80, 814–816 (2002)

    Article  ADS  Google Scholar 

  68. S.A. Cybart, E.Y. Cho, T.J. Wong, B. H. Wehlin, M.K Ma, C. Huynh, R.C. Dynes, Nano Josephson superconducting tunnel junctions in YBaCuO directly patterned with a focused helium ion beam. Nat. Nanotech. 10, 598–602 (2015)

    Google Scholar 

  69. B. Müller, M. Karrer, F. Limberger, M. Becker, B. Schröppel, C.J. Burkhardt, R. Kleiner, E. Goldobin, D. Koelle, Josephson junctions and SQUIDs created by focused helium-ion-beam irradiation of YBa\(_2\)Cu\(_3\)O\(_7\). Phys. Rev. Appl. 11, 044082 (2019)

    Google Scholar 

  70. N. Bergeal, X. Grison, J. Lesueur, G. Faini, M. Aprili, J.P. Contour, High-quality planar high-Tc Josephson Junctions. Appl. Phys. Lett. 87, 102502–102504 (2005)

    Article  ADS  Google Scholar 

  71. S.A. Cybart, S.M. Anton, S.W. Wu, J. Clarke, R.C. Dynes, Very large scale integration of nanopatterned YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) Josephson junctions in a two dimensional array. Nano Lett. 9, 3581–3585 (2009)

    Article  ADS  Google Scholar 

  72. S.A. Cybart, E.Y. Cho, T.J. Wong, V.N. Glyantsev, J.U. Huh, C.S. Yung, B.H. Moeckly, J.W. Beeman, E. Ulin-Avila, S.W. Wu, R.C. Dynes, Large voltage modulation in magnetic field sensors from two-dimensional arrays of Y-Ba-Cu-O nano Josephson junctions. Appl. Phys. Lett. 80, 062601–062603 (2014)

    Article  ADS  Google Scholar 

  73. E.Y. Cho, M.K. Ma, C. Huynh, R.C. Dynes, S.A. Cybart, Superconducting nano wire circuits fabricated using a focused helium beam. Microsc. Microanal. 21(Suppl 3), 1997–1998 (2015)

    Article  ADS  Google Scholar 

  74. J.P. Sydow, M. Berninger, R.A. Buhrman, B.H. Moeckly, Effects of oxygen content on YBCO Josephson junction structures. IEEE Trans. Appl. Supercond. 9, 2993–2996 (1999)

    Article  ADS  Google Scholar 

  75. F. Tafuri, S. Shokhor, B. Nadgorny, M. Gurvitch, F. Lombardi, A. Di Chiara, Electron beam irradiation of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) grain boundary Josephson junctions. Appl. Phys. Lett. 71, 125–127 (1997)

    Article  ADS  Google Scholar 

  76. F. Tafuri, B. Nadgorny, S. Shokhor, M. Gurvitch, F. Lombardi, F. Carillo, A. Di Chiara, E. Sarnelli, Barrier properties in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) grain-boundary Josephson junctions using electron-beam irradiation. Phys. Rev. B 57, R14077–R14080 (1998)

    Article  ADS  Google Scholar 

  77. E.M.Jackson, B.D. Weaver, G.R. Summers, Effect of proton irradiation on the critical current and resistance of high T\(_{c}\) grain boundary Josephson junctions. Appl. Phys. Lett. 64, 511–513 (1994); E.M.Jackson, B.D. Weaver, G.R. Summers, P. Shapiro, E.A. Burke, Radiation-induced T\(_{c}\) reduction and pair breaking in high-T\(_{c}\) superconductors. Phys. Rev. Lett. 74, 3033–3036 (1995)

    Article  ADS  Google Scholar 

  78. E.M. Jackson, B.D. Weaver, G.R. Summers, Proton damage effects in YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\)/YBa\(_{2}\)Cu\(_{2.79}\)Co\(_{0.21}\)O\(_{7}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) Josephson junctions. Appl. Phys. Lett. 71, 273–275 (1997)

    Article  ADS  Google Scholar 

  79. J. Elly, M.G. Medici, A. Gilabert, F. Schmidl, P. Siedel, A. Hoffmann, I.V. Schuller, Effect of light irradiation on Fiske resonances and the Josephson effect in high-T\(_{c}\) junctions. Phys. Rev. B 56, R8507–R8510 (1997)

    Article  ADS  Google Scholar 

  80. R. Adam, R. Kula, R. Sobolewski, J.M. Murduck, C. Pettiette-Hall, Laser-induced modification of transport properties of \(YBa_{2}Cu_{3}O_{7}\) step-edge weak links. Appl. Phys. Lett. 67, 3801–3803 (1995)

    Article  ADS  Google Scholar 

  81. M.D. Fiske, Temperature and Magnetic Field Dependences of the Josephson Tunneling Current. Rev. Mod. Phys. 36, 221–222 (1961)

    Article  ADS  Google Scholar 

  82. J. Swihart, Field solution for a thin-film superconducting strip transmission line. Jour. Appl. Phys. 32, 461–469 (1961)

    Article  ADS  Google Scholar 

  83. R.S. Decca, H.D. Drew, E. Osquiguil, B. Maiorov, J. Guimpel, Anomalous Proximity Effect in Underdoped YBa\(_{2}\)Cu\(_{3}\)O\(_{6+x}\) Josephson Junctions. Phys. Rev. Lett. 85, 3708–3711 (2000)

    Article  ADS  Google Scholar 

  84. M.A.Navacerrada, M.L. Lucia, F. Sanchez Quesada, Electromagnetic properties and He\(^{+}\) irradiation effects on YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) grain-boundary Josephson junctions. Phys. Rev. B 61, 6422–6427 (2000); M.A. Navacerrada, M.L. Lucia, F. Sanchez Quesada, A comparative analysis of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) grain boundary junctions modified by oxygen annealings and He\(^{+}\) irradiation. Europhys. Lett. 54, 387–393 (2001)

    Article  ADS  Google Scholar 

  85. M. Aprili, M. Covington, E. Paraoanu, B. Niedermeier, L.H. Greene, Tunneling spectroscopy of the quasiparticle Andreev bound state in ion-irradiated YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) /Pb junctions. Phys. Rev. B 57, R8139–R8142 (1998)

    Article  ADS  Google Scholar 

  86. M. Gurvitch, J.J.M. Valles, A.M. Cucolo, R.C. Dynes, J.P. Garno, L.F. Schneemeyer, J.V. Waszcak, Reproducible tunneling data on chemically etched single crystals of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\). Phys. Rev. Lett. 63, 1008–1011 (1989)

    Article  ADS  Google Scholar 

  87. D.A. Wollman, D.J. Van Harlingen, W.C. Lee, D.M. Ginsberg, A.J. Leggett, Experimental determination of the superconducting pairing state in YBCO from the phase coherence of YBCO-Pb dc SQUIDs. Phys. Rev. Lett. 71, 2134–2136 (1993)

    Article  ADS  Google Scholar 

  88. D.A. Wollman, D.J. Van Harlingen, J., Giapintzakis, D.M. Ginsberg, Evidence for d\(_{x^{2}-y^{2}}\) Pairing from the Magnetic Field Modulation of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)-Pb Josephson Junctions. Phys. Rev. Lett. 74, 796–799 (1995)

    Article  ADS  Google Scholar 

  89. A.G. Katz, A.G. Sun, R.C. Dynes, K. Char, Fabrication of all thin-film YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/Pb Josephson tunnel junctions. Appl. Phys. Lett. 66, 105–107 (1995)

    Article  ADS  Google Scholar 

  90. H.J.H. Smilde, Ariando, D.H.A. Blank, G.J. Gerritsma, H. Hilgenkamp, H. Rogalla, d-Wave-Induced Josephson Current Counterflow in YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\)/Nb Zigzag Junctions. Phys. Rev. Lett. 88, 057004–057007 (2002)

    Google Scholar 

  91. W.H. Mallison, S.J. Berkowitz, A.S. Hirahara, M.J. Neal, K. Char, A multilayer YBa\(_{2}\)Cu\(_{3}\)O\(_{x}\) Josephson junction process for digital circuit applications. Appl. Phys. Lett. 68, 3808–3810 (1996)

    Article  ADS  Google Scholar 

  92. B.D. Hunt, M.C. Foote, L.J. Bajuk, All high T\(_c\) edge geometry weak links utilizing \(YBa_{2}Cu_{3}O_{7}\) barrier layers. Appl. Phys. Lett. 59, 982–984 (1991)

    Article  ADS  Google Scholar 

  93. H.J.H. Smilde, H. Hilgenkamp, G. Rijnders, H. Rogalla, D.H.A. Blank, Enhanced transparency ramp-type Josephson contacts through interlayer deposition. Appl. Phys. Lett. 80, 4579–4581 (2002)

    Article  ADS  Google Scholar 

  94. L. Antognazza, B.H. Moeckly, T.H. Geballe, K. Char, Properties of high-T\(_c\) Josephson junctions with \(Y_{0.7}\)\(Ca_{0.3}\)\(Ba_{2}\)\(Cu_{3}\)\(O_{7-x}\) barrier layers. Phys. Rev. B 52, 4559–4567 (1995)

    Article  ADS  Google Scholar 

  95. K. Verbist, O. Lebedev, G. Van Tendeloo, M.A.J. Verhoven, A.J.M. Rijnders, D.H. Blank, Low-or high-angle Ar ion-beam etching to create ramp-type Josephson Junctions. Supercond. Sci. Tech. 9, 978–984 (1996)

    Article  ADS  Google Scholar 

  96. C. Horstmann, P. Leinenbach, A. Engelhardt, R. Gerber, J.L. Jia, R. Dittmann, U. Memmert, U. Hartmann, A.I. Braginski, Influence of ramp shape and morphology on the properties of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)-ramp-type junctions. Physica C: Supercond. 302, 176–182 (1998)

    Article  ADS  Google Scholar 

  97. R.H. Ono, J.A. Beall, M.W. Cromar, T.E. Harvey, M.E. Johansson, C.D. Reintsema, D.A. Rudman, High-T\(_{c}\) superconductor-normal metal-superconductor Josephson microbridges with high resistance normal metal links. Appl. Phys. Lett. 59, 1126-1128 (1991); C.D. Reintsema, R.H. Ono, G. Barnes, L. Borcherdt, T.E. Harvey, G. Kunkel, D.A. Rudman, L.R. Vale, N. Missert, P.A. Rosenthal, The critical current and normal resistance of high-T\(_{c}\) step-edge SNS junctions. IEEE Trans. Appl. Supercond. 5, 3405–3408 (1995)

    Article  ADS  Google Scholar 

  98. P.A. Rosenthal, E.N. Grossman, R.H. Ono, L.R. Vale, High temperature superconductorn-normal metal-superconductor Josephson junctions with high characteristic voltages. Appl. Phys. Lett. 63, 1984–1986 (1993)

    Article  ADS  Google Scholar 

  99. M. Bode, M. Grove, M. Siegel, A.I. Braginski, Superconductor-normal-superconductor step-edge junctions with Au barriers. Jour. Appl. Phys. 80, 6378–6384 (1996)

    Article  ADS  Google Scholar 

  100. M.S. DiIorio, S. Yoshizumi, K.-Y. Yang, J. Zhang, M. Maung, Practical high T\(_{c}\) Josephson junctions and dc SQUIDs operating above 85 K. Appl. Phys. Lett. 58, 2552–2554 (1991)

    Article  ADS  Google Scholar 

  101. M.Yu. Kupryanov, K.K. Likharev, Josephson effect in high-temperature superconductors and in structures based on them. Usp. Fiz. Nauk. 160, 49–72 (1990); Sov. Phys. Usp.33, 340–361 (1990)

    Article  Google Scholar 

  102. R.P. Robertazzi, A.W. Kleinsasser, R.B. Laibowitz, R.H. Koch, K.G. Stawiasz, In situ Ag/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) contacts for superconductor/normal-metal/superconductor devices. Phys. Rev. B 46, 8456–8471 (1992)

    Article  ADS  Google Scholar 

  103. M. Lee, M.R. Beasley, Interface resistance and reduction of IcR product in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) proximity junctions. Appl. Phys. Lett. 59, 591–593 (1991)

    Article  ADS  Google Scholar 

  104. J. Lesuer, M. Aprili, A. Goulon, T.J. Horton, L. Dumoulin, Evidence for a Josephson tunnel current in all in situ c-YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) /Pb junctions. Phys. Rev. B 55, R3398–R3401 (1997)

    Article  ADS  Google Scholar 

  105. A.G. Sun, A. Truscott, A.G. Katz, R.C. Dynes, B.W. Veal, C. Gu, Direction of tunneling in Pb/I/YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) tunnel junctions. Phys. Rev. B 54, 6734–6741 (1996)

    Article  ADS  Google Scholar 

  106. I. Takeuchi, C.J. Lobb, Z. Trajanovic, P.A. Warburton, T. Venkatesan, Anisotropic self-field effect in a-axis YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) /Ag/PbIn Josephson junctions. Appl. Phys. Lett. 68, 1564–1566 (1996)

    Article  ADS  Google Scholar 

  107. J.R. Kirtley, C.C. Tsuei, Ariando, C.J.M. Verwijs, S. Harkema, H. Hilgenkamp, Angle-resolved phase-sensitive determination of the in-plane symmetry in YBaCuO. Nat. Phys. 2, 353–356 (2006)

    Google Scholar 

  108. H. Hilgenkamp, Ariando, H.J.H. Smilde, D.H.A. Blank, G. Rijnders, H. Rogalla, J.R. Kirtley, C.C. Tsuei C. C., Ordering and manipulation of the magnetic moments in large-scale superconducting \([\)pi\(]\)-loop arrays. Nature 422, 50–53 (2003)

    Article  ADS  Google Scholar 

  109. J.R. Kirtley, Fundamental studies of superconductors using scanning magnetic imaging. Rep. Prog. Phys. 73, 126501–126536 (2010)

    Article  ADS  Google Scholar 

  110. C.H. Chen, I. Jin, S.P. Pai, Z.W. Dong, C.J. Lobb, T. Vankatesan, K. Edinger, J. Orloff, J. Melngilis, Fabrication of high-temperature superconducting Josephson junctions on substrates patterned by focused ion beam. Appl. Phys. Lett. 73, 1730–1732 (1998)

    Article  ADS  Google Scholar 

  111. K.A. Delin, A.W. Kleinsasser, Stationary properties of high-critical-temperature proximity effect Josephson junctions. Supercond. Sci. Tech. 9, 227–269 (1996)

    Article  ADS  Google Scholar 

  112. R. Baghdadi, S. Abay, D. Golubev, T. Bauch, F. Lombardi, Josephson effect through YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/Au-encapsulated nanogaps. Phys. Rev. B 95, 174510 (2017)

    Article  ADS  Google Scholar 

  113. K. Char, M.S. Colclough, T.H. Geballe, K.E. Myers, High T\(_c\) superconductor-normal-superconductor Josephson junctions using CaRuO as the metallic barrier. Appl. Phys. Lett. 62, 196–198 (1993)

    Article  ADS  Google Scholar 

  114. S.-G. Lee, K. Park, Y.K. Park, J.P. Park, High T\(_c\) superconductor/normal/superconductor step-edge junction dc SQUIDs with CaRuO\(_{3}\) as the normal metal. Appl. Phys. Lett. 64, 2028–2030 (1994)

    Article  ADS  Google Scholar 

  115. L. Antognazza, S.J. Berkowitz, T.H. Geballe, K. Char, Proximity effect in YBCO/YBBCCoO/YBCO junctions: from the clean limit to the dirty limit with pair breaking. Phys. Rev. B 51, 8560–8563 (1995)

    Article  ADS  Google Scholar 

  116. K. Char, L. Antognazza, T.H. Geballe, Study of interface resistances in epitaxial YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)/barrier/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) junctions. Appl. Phys. Lett. 63, 2420–2422 (1993)

    Article  ADS  Google Scholar 

  117. E. Olsson, K. Char, Origin of nonuniform properties of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)/CaRuO\(_{3}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson edge junctions. Appl. Phys. Lett. 64, 1292–1294 (1994)

    Article  ADS  Google Scholar 

  118. K. Char, HTS SNS Josephson junctions: interfaces and mechanisms. Physica C: Supercond. 282–287, 419–422 (1997)

    Article  ADS  Google Scholar 

  119. C. Stolzel, M. Siegel, G. Adrian, C. Krimmer, J. Sollner, W. Wilkens, G. Schuelz, H. Adrian, Transport properties of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)/YBa\(_{0.3}\)Pr\(_{0.7}\)Cu\(_{3}\)O\(_{7-x}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson junctions. Appl. Phys. Lett. 63, 2970–2972 (1993); M.I. Faley, U. Poppe, H. Soltner, C.L. Jia, M. Siegel, K. Urban, Josephson junctions, interconnects, and crossovers on chemically etched edges of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\). Appl. Phys. Lett. 63, 15–17 (1993)

    Google Scholar 

  120. E. Polturak, G. Koren, D. Cohen, E. Aharoni, G. Deutscher, Proximity effect in YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\)/YBa\(_{0.6}\)Pr\(_{0.4}\)Cu\(_{3}\)O\(_{7}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) junctions. Phys. Rev. Lett. 67, 3038–3041 (1991); Q.X. Jia, D. Wu, D. Reager, S.R. Foltyn, C. Mombourquette, P. Tiwari, J.H. Campbell, R.J. Houlton, D.E. Peterson, High-temperature superconductor Josephson junctions with a gradient Pr-doped YBa\(_{1-x}\)Pr\(_{x}\)Cu\(_{3}\)O\(_{7-1delta}\) (x = 0.1, 0.3, 0.5) as barriers. Appl. Phys. Lett. 65, 2866–2868 (1994)

    Google Scholar 

  121. J.L. Sun, J. Gao, Transport characteristics of ramp-type YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) Josephson junctions. Phys. Rev. B 62, 1457–1463 (2000)

    Article  ADS  Google Scholar 

  122. J. Gao, Yu. Boguslavskij, B.B.G. Klopman, D. Terpstra, G.J. Gerritsma, H. Rogalla, Characteristics of advanced YBa\(_{2}\)Cu\(_{3}\)O\(_{x}\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{x}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{x}\) edge type junctions. Appl. Phys. Lett. 59, 2754–2756 (1991)

    Article  ADS  Google Scholar 

  123. H. Sato, H. Akoh, S. Takada, Anisotropic Josephson effect in all (103)-oriented YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) junctions. Appl. Phys. Lett. 64, 1286–1288 (1994)

    Article  ADS  Google Scholar 

  124. M.A.J. Verhoeven, G.J. Gerritsma, H. Rogalla, A.A. Golubov, Ramp -type junction parameter control by Ga doping of PrBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) barriers. Appl. Phys. Lett. 69, 848–850 (1996)

    Article  ADS  Google Scholar 

  125. M.A.J. Verhoeven, G.J. Gerritsma, H. Rogalla, A.A. Golubov, Ramp type HTS Josephson junctions with PrBaCuGaO barriers. IEEE Trans. Appl. Supercond. 5, 2095–2098 (1995)

    Article  ADS  Google Scholar 

  126. I.H. Song, E.H. Lee, B.M. Kim, I. Song, G. Park, High-T\(_{c}\) edge junctions with a Ga-doped YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) barrier and interface resistances. Appl. Phys. Lett. 74, 2053–2055 (1999)

    Article  ADS  Google Scholar 

  127. K. Verbist, O.I. Lebedev, G. Van Tendeloo, M.A.J. Verhoeven, A.J.H.M. Rijnders, D.H.A. Blank, H. Rogalla, Ga segregation in DyBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/PrBa\(_{2}\)Cu\(_{3-x}\)Ga\(_{x}\)O\(_{7-\delta }\)/DyBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) ramp-type Josephson junctions. Appl. Phys. Lett. 70, 1167–1169 (1997)

    Article  ADS  Google Scholar 

  128. L.I. Glazman, K.A. Matveev, Inelastic tunneling across thin amorphous films. Zh. Esker. Teor. Fiz. 94, 332–343 (1988); Sov. Phys. JETP 67, 1276–1282 (1988)

    Google Scholar 

  129. Y. Xu, A. Matsuda, M.R. Beasley, Role of inelastic effects on tunneling via localized states in metal-insulator-metal tunnel junctions. Phys. Rev. B 42, 1492–1495 (1990)

    Article  ADS  Google Scholar 

  130. B. Oh, Y.H. Choi, S.H. Moon, H.T. Kim, B.C. Min, YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/NdBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) edge junctions and SQUIDS. Appl. Phys. Lett. 69, 2288–2290 (1996)

    Article  ADS  Google Scholar 

  131. K. Char, L. Antognazza, T.H. Geballe, Properties of YBa\(_2\)Cu\(_3\)O\(_7\)/YBa\(_2\)Cu\(_{2.79}\)Co\(_{0.21}\)O\(_7\)/YBa\(_2\)Cu\(_3\)O\(_7\) edge junctions. Appl. Phys. Lett. 65, 904–906 (1994)

    Article  ADS  Google Scholar 

  132. M.Q. Huang, Z.G. Ivanov, P. Komissinski, T. Claeson, Fabrication and properties of high-Tc ramp junctions with manganite barriers. Physica C: Supercond. 326–327, 79–82 (1999)

    Article  ADS  Google Scholar 

  133. R. Tsuchiya, M. Kawasaki, H. Kubota, J. Nishino, A. Sato, H. Akoh, YBa\(_2\)Cu\(_3\)O\(_{7-\delta }\) trilayer junction with nm thick barrier. Appl. Phys. Lett. 71, 1570–1572 (1997)

    Article  ADS  Google Scholar 

  134. C.T. Rogers, A. Inam, M.S. Hedge, B. Dutta, X.D. Wu, T. Venkatesan, Fabrication of heteroepitaxial YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Josephson devices grown by laser deposition. Appl. Phys. Lett. 55, 2032–2034 (1989)

    Article  ADS  Google Scholar 

  135. T. Hashimoto, M. Sagoi, Y. Mizutani, J. Yoshida, K. Mizushima, Josephson characteristics in a-axis oriented YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) junctions. Appl. Phys. Lett. 60, 1756–1758 (1992)

    Article  ADS  Google Scholar 

  136. I. Takeuchi, P.A. Warburton, Z. Trajanovic, C.J. Lobb, Z.W. Dong, T. Venkatesan, M.A. Bari, W.E. Booij, E.J. Tarte, M.G. Blamire, Fabrication of in-plane aligned a-axis oriented YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) trilayer Josephson junctions. Appl. Phys. Lett. 69, 112–114 (1996)

    Article  ADS  Google Scholar 

  137. K. Kuroda, T. Takami, K. Nishi, Y Wada, T. Ozeki, YBaCuO/PrBaCuO/YBaCuO Trilayer Junctions on Vicinal Substrates. Jpn. J. Appl. Phys. 40, L609–LL611 (2001)

    Article  ADS  Google Scholar 

  138. E. Fujimoto, H. Sato, T. Yamada, H. Akoh, All YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) trilayer junctions with YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\)wiring layers. Appl. Phys. Lett. 80, 3985–3987 (2002)

    Article  ADS  Google Scholar 

  139. T. Umezawa, D.J. Lew, S.K. Streiffer, M.R. Beasley, Josephson coupling in a-axis YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\)/Pr\(_{1-x}\)Y\(_{x}\)Ba\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) /YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) sandwich-type junctions. Appl. Phys. Lett. 63, 3221–3223 (1993)

    Article  ADS  Google Scholar 

  140. Q.Y. Ying, C. Hilbert, All-YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) trilayer tunnel junctions with Sr\(_{2}\)AlTaO\(_{6}\) barrier. Appl. Phys. Lett. 65, 3005–3007 (1994)

    Article  ADS  Google Scholar 

  141. B.H. Moeckly, K. Char, Properties of interface-engineered high Tc Josephson Junctions. Appl. Phys. Lett. 71, 2526–2528 (1997)

    Article  ADS  Google Scholar 

  142. B.H. Moeckly, All YBaCuO c-axis trilayer interface-engineered Josephson junctions. Appl. Phys. Lett. 78, 790–792 (2001)

    Article  ADS  Google Scholar 

  143. J. Yoshida, H. Katsuno, K. Nakayama, T. Nagano, Current transport and the fluctuation of critical current in high-temperature superconductor interface-engineered Josephson junctions. Phys. Rev. B 70, 054511 (2004)

    Article  ADS  Google Scholar 

  144. A. Beck, O.M. Froehlich, D. Koelle, R. Gross, H. Sato, M. Naito, LaSrCuO bicrystal grain boundary Josephson junctions. Appl. Phys. Lett. 68, 3341–3444 (1996)

    Article  ADS  Google Scholar 

  145. Y. Huang, K.L. Merkle, B.H. Moeckly, K. Char, The effect of microstructure on the electrical properties of YBCO interface-engineered Josephson junctions. Physica C: Supercond. 314, 36–42 (1999)

    Article  ADS  Google Scholar 

  146. T. Suzuki, Y. Ishimaru, M. Horibe, O. Horibe, H. Wakana, S. Adachi, Y. Oshikubo, Y. Tarutani, U. Kawabe, K. Tanabe, Evaluation of fabrication process for interface-modified ramp-edge junctions. Physica C: Supercond. 392–396, 1378–1381 (2003)

    Article  ADS  Google Scholar 

  147. A.H. Sonnenberg, I. Oomen, H. Hilgenkamp, G.J. Gerritsma, H. Rogalla, Sigma-delta A/D converter in HTS ramp edge technology. IEEE Trans. Appl. Supercond. 11, 200 (2001)

    Article  ADS  Google Scholar 

  148. A.I. Braginski, B.H. Moeckly, Processing and Manufacture of Josephson Junctions: high-T\(_c\)” Chapter in 2nd Edition of the Handbook of Superconducting Materials (edited by D Cardwell and D Larbalestier) (Taylor and Francis Group) to be published (2019)

    Google Scholar 

  149. Y. Tarutani, Y. Ishimaru, H. Wakana, S. Adachi, K. Nakayama, Y. Oshikubo, O. Horibe, Y. Morimoto, K. Tanabe, Fabrication and logic operation of oxide SFQ-circuit-components. IEEE Trans. Appl. Supercond. 15, 376–379 (2005)

    Article  ADS  Google Scholar 

  150. S. Adachi, A. Tsukamoto, T. Hato, J. Kawano, K. Tanabe, Recent developments of high-T\(_c\) electronic devices with multilayer structures and ramp-edge Josephson junctions. IEICE Trans. Electron. E95-C, 337–346 (2012)

    Article  ADS  Google Scholar 

  151. K. Tanabe, H. Wakana, K. Tsubone, Y. Tarutani, S. Adachi, Y. Ishimaru, M. Maruyama, T. Hato, A. Yoshida, H. Suzuki, Advances in High-T\(_c\) Single Flux Quantum Device Technologies. IEICE Trans. Electron. E91-C, 280–291 (2008)

    Google Scholar 

  152. K. Tsubone, H. Wakana, Y. Tarutani, S. Adachi, Y. Ishimaru, K. Tanabe, Design and Operation of HTS SFQ Circuit Elements. IEICE Trans. Electron. E90-C, 570–578 (2007)

    Article  ADS  Google Scholar 

  153. I. Bozovic, G. Logvenov, M.A.J. Verhoeven, P. Caputo, E. Goldobin, T.H. Geballe, No mixing of superconductivity and antiferromagnetism in a high-temperature superconductor. Nature 422, 873–876 (2003)

    Article  ADS  Google Scholar 

  154. G.F. Virshup, M.E. Klusmeier-Brown, I. Bozovic, J.N. Eckstein, Hysteretic, high T\(_{c}\) Josephson junctions using heterostructure trilayer films grown by molecular beam epitaxy. Appl. Phys. Lett. 60, 2288–2290 (1992); M.E. Klusmeier-Brown, I. Bozovic, J.N. Eckstein, G.F. Virshup, Engineering of ultrathin barriers in high T\(_{c}\), trilayer Josephson junctions. Appl. Phys. Lett. 61, 2806–2808 (1992)

    Article  ADS  Google Scholar 

  155. I. Bozovic, G. Logvenov, M.A.J. Verhoeven, P. Caputo, E. Goldobin, M.R. Beasley, Giant proximity effect in cuprate superconductors. Phys. Rev. Lett. 93, 157002–157005 (2004)

    Article  ADS  Google Scholar 

  156. V.Z. Kresin, Yu. Ovchinnikov, S. Wolf, “Giant” Josephson proximity effect. Appl. Phys. Lett. 83, 722–724 (2003)

    Article  ADS  Google Scholar 

  157. E. Demler, A.J. Berlinsky, C. Kallin, G.B. Arnold, M.R. Beasley, Proximity effect and josephson coupling in the SO(5) theory of high-T\(_{c}\) superconductivity. Phys. Rev. Lett. 80, 2917–2920 (1998)

    Article  ADS  Google Scholar 

  158. B.C. den Hartog, A.J. Berlinsky, C. Kallin, Properties of superconductor-antiferromagnet-superconductor Josephson junctions in SO (5) theory. Phys. Rev. B 59, R11645–R11648 (1999)

    Article  ADS  Google Scholar 

  159. S. Kleefisch, L. Alff, U. Schoop, A. Marx, R. Gross, M. Naito, H. Sato, Superconducting Nd\(_{1.85}\)Ce\(_{0.15}\)CuO\(_{4-y}\) bicrystal grain boundary Josephson junctions. Appl. Phys. Lett. 72, 2888–2890 (1998)

    Article  ADS  Google Scholar 

  160. U. Schoop, S. Kleefisch, S. Meyer, A. Marx, L. Alff, R. Gross, M. Naito, H. Sato, Nd\(_{1.85}\)Ce\(_{0.15}\)CuO\(_{4-y}\) bicrystal grain boundary Josephson junctions. IEEE Trans. Appl. Supercond. 9, 3409–3412 (1999)

    Article  ADS  Google Scholar 

  161. Ariando, D. Darminto, H.J.H. Smilde, V. Leca, D.H.A. Blank, H. Rogalla, H. Hilgenkamp, Phase-Sensitive Order Parameter Symmetry Test Experiments Utilizing Nd\(_{2-x}\)Ce\(_{x}\)CuO\(_{4-y}\)/Nb Zigzag Junctions. Phys. Rev. Lett. 94, 167001–167004 (2005)

    Google Scholar 

  162. B. Chesca, M. Seifried, T. Dahm, N. Schopohl, D. Koelle, R. Kleiner, A. Tsukada, Observation of andreev bound states in bicrystal grain-boundary Josephson junctions of the electron-doped superconductor La\(_{2-x}\)Ce\(_{x}\)CuO\(_{4-y}\)D. Phys. Rev. B 71, 104504–104510 (2005)

    Article  ADS  Google Scholar 

  163. B. Chesca, K. Ehrhardt, M. Mo\(\beta \)le, R. Straub, D. Koelle, R. Kleiner, A. Tsukada, Magnetic-Field Dependence of the Maximum Supercurrent of La\(_{2-x}\)Ce\(_{x}\)CuO\(_{4-y}\) Interferometers: evidence for a predominant \(d_{x^{2}-y^{2}}\) superconducting order parameter. Phys. Rev. Lett. 90, 57004–57007 (2003)

    Google Scholar 

  164. R. Kleiner, F. Stenmeyer, G. Kunkel, P. Muller, Intrinsic Josephson effects in Bi\(_{2}\)Sr\(_{2}\)CaCu\(_{2}\)O\(_{8}\) single crystals. Phys. Rev. Lett. 68, 2394–2397 (1992)

    Article  ADS  Google Scholar 

  165. R. Kleiner, P. Muller, Intrinsic Josephson effects in high-T\(_{c}\) superconductors. Phys. Rev. B 48, 1327–1341 (1994)

    Article  ADS  Google Scholar 

  166. A.A. Yurgens, Intrinsic Josephson junctions: recent developments. Supercond. Sci. Tech. 13, R85–R100 (2000)

    Article  ADS  Google Scholar 

  167. Y.I. Latyshev, Yamashita, L.N. Bulaevskii, M.J. Graf, A.V. Balatsky, M.P. Maley, Interlayer Transport of Quasiparticles and Cooper Pairs in Bi\(_{2}\)Sr\(_{2}\)CaCu\(_{2}\)O\(_{8+\delta }\) Superconductors. Phys. Rev. Lett. 82, 5345–5348 (1999)

    Article  ADS  Google Scholar 

  168. O.S. Chana, A.R. Kuzhakhmetov, P.A. Warburton, D.M.C. Hyland, D. Dew-Hughes, C.R.M. Grovenor, R.J. Kinsey, G. Burnell, W.E. Booij, M.G. Blamire, R. Kleiner, P. Muller, Alternating current Josephson effect in intrinsic Josephson bridges in Tl\(_{2}\)Ba\(_{2}\)CaCu\(_{2}\)O\(_{8}\) thin films. Appl. Phys. Lett. 76, 3603–3605 (2000)

    Article  ADS  Google Scholar 

  169. P.A. Warburton, A.R. Kuzhakhmetov, O.S. Chana, G. Burnell, M.G. Blamire, H. Schneidewind, Y. Koval, A. Franz, P. Muller, D.M.C.Hyland, D. Dew-Hughes, H. Wu, C.R.M. Grovenor, Josephson fluxon flow and phase diffusion in thin-film intrinsic Josephson junctions. Jour. Appl. Phys. 95, 4941–4948 (2004)

    Article  ADS  Google Scholar 

  170. P.A. Warburton, A.R. Kuzhakhmetov, G. Burnell, M.G. Blamire, H. Schneidewind, Decoupling of a current-biased intrinsic Josephson junction from its environment. Phys. Rev. B 67, 184513–184517 (2003)

    Article  ADS  Google Scholar 

  171. Y. Takano, T. Hatano, A. Fukuyo, A. Ishii, M. Ohmori, S. Arisawa, K. Togano, M. Tachiki, d-like symmetry of the order parameter and intrinsic Josephson effects in Bi\(_{2}\)Sr\(_{2}\)CaCu\(_{2}\)O\(_{8+\delta }\) cross-whisker junctions. Phys. Rev. B 65, 140513R–140516R (2002)

    Article  ADS  Google Scholar 

  172. G. Balestrino, S. Lavanga, P.G. Medaglia, P. Orgiani, A. Tebano, Interlayer coupling in ultrathin high-T\(_{c}\) artificial structures. Phys. Rev. B 64, 020506R–020509R (2001)

    Google Scholar 

  173. F. Tafuri, J.R. Kirtley, F. Lombardi, P.G. Medaglia, P. Orgiani, G. Balestrino, Advances in high- grain-boundary junctions. Low Temp. Phys. 30, 591–598 (2004)

    Article  ADS  Google Scholar 

  174. J. Pearl, Structure of superconductive vortices near a metal-air interface. Jour. Appl. Phys. 37, 4139–4142 (1966)

    Article  ADS  Google Scholar 

  175. G. Papari, F. Carillo, D. Stornaiuolo, L. Longobardi, F. Beltram, F. Tafuri, High critical current density and scaling of phase-slip processes in YBaCuO nanowires. Supercond. Sci. Tech. 25, 035011–035015 (2012)

    Article  ADS  Google Scholar 

  176. K. Xu, J.R. Heath, Long Highly-Ordered High-Temperature Superconductor Nanowire Arrays. Nano Lett. 8, 3845–3849 (2008)

    Article  ADS  Google Scholar 

  177. S. Nawaz, R. Arpaia, F. Lombardi, T. Bauch, Microwave response of superconducting \(Y{Ba_{2}Cu_{3}O}_{7-\delta }\) nanowire bridges sustaining the critical Depairing current: evidence of josephson-like behavior. Phys. Rev. Lett. 110, 167004–167007 (2013)

    Article  ADS  Google Scholar 

  178. F. Tafuri, D. Massarotti, L. Galletti, D. Stornaiuolo, D. Montemurro, L. Longobardi, P. Lucignano, G. Rotoli, G.P. Pepe, A. Tagliacozzo, F. Lombardi, Recent achievements on the physics of high-Tc superconductor josephson junctions: background, perspectives and inspiration. Jour. Supercond. Novel Magn. 26, 21–41 (2013)

    Article  Google Scholar 

  179. M. Tinkham, J.U. Free, C.N. Lau, N. Markovic, Hysteretic \(I-V\) curves of superconducting nanowires. Phys. Rev. B 68, 134515–134521 (2003)

    Article  ADS  Google Scholar 

  180. A. Bezryadin, Quantum suppression of superconductivity in nanowires. J. Phys.: Condens. Matter 20, 043202–043220 (2008)

    ADS  Google Scholar 

  181. A. Bezryadin, Superconductivity in Nanowires (Wiley-VCH Verlag GmbH and Co. KGaA, New York, 2012)

    Book  Google Scholar 

  182. H. Bartolf, Fluctuation Mechanisms in Superconductors (Springer, New York, 2015)

    Google Scholar 

  183. A. Engel, J.J. Renema, K. Il’in, A. Semenov, Detection mechanism of superconducting nanowire single-photon detectors. Supercond. Sci. Tech. 28, 114003–140025 (2015)

    Article  ADS  Google Scholar 

  184. R. Arpaia, M. Ejrnaes, L. Parlato, R. Cristiano, M. Arzeo, T. Bauch, S. Nawaz, F. Tafuri, G,P. Pepe, F. Lombardi, Highly homogeneous YBCO/LSMO nanowires for photoresponse experiments, Supercond. Sci. Tech. 27, 044027–044031(2014); R. Arpaia, M. Ejrnaes, L. Parlato, F. Tafuri, R. Cristiano, D. Golubev, R. Sobolewski, T. Bauch, F. Lombardi, G.P. Pepe, “High-temperature superconducting nanowires for photon detection. Phys. C: Supercond. 509, 16–21 (2015)

    Article  ADS  Google Scholar 

  185. M. Ejrnaes, L. Parlato, R. Arpaia, T. Bauch, F. Lombardi, R. Cristiano, F. Tafuri, and G. P. Pepe, “Observation of dark pulses in 10 nm thick YBCO nanostrips presenting hysteretic current voltage characteristics”, Supercond. Sci. Tech.30, 12LT02-6 (2017)

    Article  Google Scholar 

  186. D. Santavicca, Prospects for faster, higher-temperature superconducting nanowire single-photon detectors. Supercond. Sci. Tech. 31, 040502–040504 (2018)

    Article  ADS  Google Scholar 

  187. J.E. Mooij, YuV Nazarov, Superconducting nanowires as quantum phase-slip junctions. Nat. Phys. 2, 169–172 (2006)

    Article  Google Scholar 

  188. A. Ya.Tzalenchuk, T. Lindström, S.A. Charlebois, E.A. Stepantsov, Z. Ivanov, and A.M. Zagoskin, Mesoscopic Josephson junctions of high-T\(_{c}\) superconductors. Phys. Rev. B 68, R100501–R100505 (2003)

    Google Scholar 

  189. E. Il’ichev, M. Grajcar, R. Hlubina, R.P.J. IJsselsteijn, H.E. Hoenig, H.-G. Meyer, A. Golubov, M.H.S. Amin, A.M. Zagoskin, A.N. Omelyanchouk, M.Yu. Kupriyanov, “Degenerate Ground State in a Mesoscopic YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) Grain Boundary Josephson Junction. Phys. Rev. Lett. 86, 5369–5372 (2001)

    Article  ADS  Google Scholar 

  190. G. Testa, A. Monaco, E. Esposito, E. Sarnelli, D.J. Kang, S.H. Mennema, E.J. Tarte, M.G. Blamire, Midgap state-based \(\pi \)-junctions for digital applications. Appl. Phys. Lett. 85, 1202–1204 (2004); G. Testa, A. Monaco, E. Esposito, E. Sarnelli, D.J. Kang, S.H. Mennema, E.J. Tarte, M.G. Blamire, Evidence of midgap - state - mediated transport in 45\(^{\circ }\) symmetric [001] tilt \(Y{Ba_{2}Cu_{3}O}_{7-\delta }\) bicrystal grain-boundary junctions. Phys. Rev. B 71, 134520–134526 (2005)

    Google Scholar 

  191. J. Nagel, K.B. Konovalenko, M. Kemmler, M. Turad, R. Werner, E. Kleisz, S. Menzel, R. Klingeler, B. Büchner, R. Kleiner, D. Koelle, Resistively shunted YBa\(_2\) Cu\(_3\) O\(_7\) grain boundary junctions and low-noise SQUIDs patterned by a focused ion beam down to 80 nm linewidth. Supercond. Sci. Tech. 24, 015015–015022 (2011)

    Article  ADS  Google Scholar 

  192. D. Gustafsson, D. Golubev, M. Fogelström, T. Claeson, S. Kubatkin, T. Bauch, F. Lombardi, Fully gapped superconductivity in a nanometre-size YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) island enhanced by a magnetic field. Nat. Nanotech. 8, 25–29 (2013)

    Article  ADS  Google Scholar 

  193. A. Tagliacozzo, D. Born, D. Stornaiuolo, E. Gambale, D. Dalena, F. Lombardi, A. Barone, B.L. Altshuler, F. Tafuri, Observation of mesoscopic conductance fluctuations in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) grain boundary Josephson junctions. Phys. Rev. B 75, 012507–012510 (2007)

    Article  ADS  Google Scholar 

  194. P. Lucignano, D. Stornaiuolo, F. Tafuri, B. Altshuler, A. Tagliacozzo, Evidence for a Minigap in YBCO Grain Boundary Josephson Junctions. Phys. Rev. Lett. 105, 147001–147005 (2010)

    Article  ADS  Google Scholar 

  195. D. Gustafsson, H. Pettersson, B. Iandolo, E. Olsson, T. Bauch, Lombardi F. , Soft Nanostructuring of YBCO Josephson Junctions by Phase Separation. Nano Lett. 10, 4824–4829 (2010)

    Article  ADS  Google Scholar 

  196. R.L. Kautz, J.M. Martinis, Noise-affected I - V curves in small hysteretic Josephson junction. Phys. Rev. B 42, 9903–9937 (1990)

    Article  ADS  Google Scholar 

  197. M. Iansiti, M. Tinkham, A.T. Johnson, W.F. Smith, C.J. Lobb, Charging effects and quantum properties of small superconducting tunnel junctions. Phys. Rev. B 39, 6465–6484 (1989)

    Article  ADS  Google Scholar 

  198. J. Ankerhold, Overdamped quantum phase diffusion and charging effects in Josephson junctions. Europhys. Lett., 67, 280–286 (2004)

    Article  ADS  Google Scholar 

  199. M. Hurd, Current-voltage relation for superconducting d-wave junctions. Phys. Rev. B 55, R11993–R11996 (1997)

    Article  ADS  Google Scholar 

  200. A. Poenicke, J. C. Cuevas, M. Fogelstrm, Subharmonic gap structure in d-wave superconductors. Phys. Rev. B 65, 220510R–220513R (2001)

    Google Scholar 

  201. A.W. Kleinsasser, R.A. Buhrman, High-quality submicron niobium tunnel junctions with reactive ion-beam oxidation. Appl. Phys. Lett. 37, 841–843 (1980)

    Article  ADS  Google Scholar 

  202. H. Courtois, M. Meschke, J.T. Peltonen, J.P. Pekola, Origin of hysteresis in a proximity Josephson Junction. Phys. Rev. Lett. 101, 067002–067005 (2008)

    Article  ADS  Google Scholar 

  203. R. Gross, B. Mayer, Transport processes and noise in YBaCuO grain boundary junctions. Phys. C: Supercond. 180, 235–242 (1991)

    Google Scholar 

  204. J. Halbritter, A review of weak/strong links and junctions in high- T c superconductors as a transition to a Mott insulator. Supercond. Sci. Tech. 16, R47–R69 (2003)

    Article  ADS  Google Scholar 

  205. R. Gross, L. Alff, A. Beck, O.M. Froehlich, D. Koelle, A. Marx, Physics and technology of high temperature superconducting Josephson junctions. IEEE Trans. Appl. Supercond. 7, 2929–2935 (1997)

    Article  ADS  Google Scholar 

  206. J.H.T. Ransley, P.F. McBrien, G. Burnell, E.J. Tarte, J.E. Evetts, R.R. Schulz, C.W. Schneider, A. Schmehl, H. Bielefeldt, H. Hilgenkamp, J. Mannhart, Capacitance measurements on grain boundaries in \(Y_{1-x}Ca_{x}Ba_{2}Cu_{3}O_{7-\delta }\). Phys. Rev. B 70, 104502–104512 (2004)

    Article  ADS  Google Scholar 

  207. E.J. Tarte, P.F. McBrien, .H.T. Ransley, R.H. Hadfield, E. Inglessi, W.E. Booij, G. Burnell, M.G. Blamire, J.E. Evetts, Capacitance as a probe of high angle grain boundary transport in oxide superconductors, IEEE Trans. Appl. Supercond. 11, 418–421 (2001)

    Article  ADS  Google Scholar 

  208. A.M. Navacerrada, M.L. Lucia, L.L. Sanchez-Soto, F. Sanchez Quesada, E. Sarnelli, G. Testa, Capacitance of Josephson junctions made on bicrystalline substrates of different geometries. Phys. Rev. B 71, 014501–014506 (2005)

    Google Scholar 

  209. E.J. Tarte, G.A. Wagner, R.E. Somekh, F.J. Baudenbacher, P. Berghusi, and J.E. Evetts J.E., The capacitance of bicrystal josephson junctions deposited on SrTiO\(_{3}\) substrates. IEEE Trans. Appl. Supercond. 7, 3662–3665 (1997); P.F. McBrien, R.H. Hadfield, W.E. Booij, A. Moya, M.G. Blamire, E.J. Tarte, J. Clark, C.M. Pegrum, Josephson junctions with hysteretic current voltage characteristics at high temperatures. IEEE Trans. Appl. Supercond. 99 3468–3471 (1999)

    Google Scholar 

  210. A. Beck, A. Stenzel, O.M. Froelich, R. Gerber, R. Gerdemann, L., Alff, B. Mayer, R. Gross, A. Marx, J.C. Villegier, H. Moriceau, Fabrication and superconducting transport properties of bicrystal grain boundary Josephson junctions on different substrates. IEEE Trans. Appl. Supercond. 5, 2192–2195 (1995)

    Article  ADS  Google Scholar 

  211. D. Winkler, Y.M. Zhang, P.A. Nilsson, E.A. Stepanstov, T. Claeson, Electromagnetic properties at the grain boundary interface of a YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) bicrystal Josephson junction. Phys. Rev. Lett. 72, 1260–1263 (1994)

    Article  ADS  Google Scholar 

  212. A. Barone, Paternó, Physics and Applications of the Josephson Effect, (John Wiley & Sons, Inc., New York, 1982)

    Google Scholar 

  213. K.K. Likharev, Dynamics of Josephson Junctions and Circuits (Gordon and Breach, New York, 1986)

    Google Scholar 

  214. P.G. de Gennes, Boundary Effects in Superconductors. Rev. Mod. Phys. 36, 225–237 (1964)

    Article  ADS  Google Scholar 

  215. K.K. Likharev, Superconducting weak links. Rev. Mod. Phys. 51, 101–159 (1979)

    Article  ADS  Google Scholar 

  216. S.K. Tolpygo, M. Gurvitch, Critical currents, proximity effect, and Josephson penetration depth in planar high-T\(_{c}\) Josephson junctions. IEEE Trans. Appl. Supercond. 7, 3208–3212 (1997)

    Article  ADS  Google Scholar 

  217. Y. Tanaka, S. Kashiwaya, Theory of Josephson effects in anisotropic superconductors. Phys. Rev. B 56, 892–912 (1997)

    Article  ADS  Google Scholar 

  218. YuS Barash, H. Burkhardt, D. Rainer, Low-Temperature Anomaly in the Josephson Critical Current of Junctions in \(d\)-Wave Superconductors. Phys. Rev. Lett. 77, 4070–4073 (1996)

    Article  ADS  Google Scholar 

  219. K. Arie, K. Yasuda, H. Kobayashi, I. Iguchi, Y. Tanaka, S. Kashiwaya, Josephson tunneling of anisotropic high-T\(_{c}\) d-wave junctions with tilted ab-plane YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) electrodes. Phys. Rev. B 62, 11864–11871 (2000); H. Kobayashi, T. Imaizumi, I. Iguchi, Y. Tanaka, S. Kashiwaya, Angle-dependent Josephson current in high-T\(_{c}\) YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) ramp-edge junctions, Physica C: Superconductivity 357, 1567–1571 (2001)

    Google Scholar 

  220. T. Luck, P. Schwab, U. Eckern, A. Shelankov, Disordered Josephson junctions of d-wave superconductors. Phys. Rev. B 68, 174524–174533 (2003)

    Article  ADS  Google Scholar 

  221. R.A. Riedel, P.F. Bagwell, Low-temperature Josephson current peak in junctions with \(d\)-wave order parameters. Phys. Rev. B 57, 6084–6089 (1998)

    Article  ADS  Google Scholar 

  222. Y. Tanaka, S. Kashiwaya, Influences of broken time-reversal symmetry on the dc Josephson effects in d-wave superconductors. Phys. Rev. B 58, R2948–R2951 (1998)

    Article  ADS  Google Scholar 

  223. P. Samuelson, J. Lantz, V.S. Shumeiko, G. Wendin, Nonequilibrium Josephson effect in mesoscopic ballistic multiterminal SNS junctions. Phys. Rev. B 62, 1319–1337 (2000)

    Article  ADS  Google Scholar 

  224. M. Tinkham, Introduction to Superconductivity, 2nd edn. (Dover Publications, 2004)

    Google Scholar 

  225. S.G. Gausenphol, M. Lee, S.J. Berkowitz, W.H. Mallison, Supercurrent distributions and flux penetration in YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\)-YBa\(_{2}\)Co\(_{0.15}\)Cu\(_{2.85}\)O\(_{7}\)-YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) edge junctions. Jour. Appl. Phys. 82, 2427–2434 (1997)

    Article  ADS  Google Scholar 

  226. C.A. Copetti, F. Ruders, B. Oelze, Ch. Buchal, B. Kabius, J.W. Seo, Electrical properties of 45 grain boundaries of epitaxial YBaCuO, dominated by crystalline microstructure and d-wave-symmetry. Phys. C: Supercond. 253, 63–70 (1995)

    Article  ADS  Google Scholar 

  227. H. Hilgenkamp, J. Mannhart, B. Mayer, Implications of \(d_{x^{2}-y^{2}}\) symmetry and faceting for the transport properties of grain boundaries in high-T\(_{c}\) superconductors. Phys. Rev. B 53, 14586–14593 (1996)

    Article  ADS  Google Scholar 

  228. J. Mannhart, H. Hilgenkamp, B. Mayer, Ch. Gerber, J.R, Kirtley, K.A. Moler, M. Sigrist, Generation of Magnetic Flux by Single Grain Boundaries of YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\). Phys. Rev. Lett. 77, 2782–2785 (1996)

    Article  ADS  Google Scholar 

  229. R.G. Mints, V.G. Kogan, Josephson junctions with alternating critical current density. Phys. Rev. B 55, R8682–R8685 (1997)

    Article  ADS  Google Scholar 

  230. W.K. Neils, D.J. Van Harlingen, Experimental test for subdominant superconducting phases with complex order parameters in cuprate grain boundary junctions. Phys. Rev. Lett. 88, 47001–47004 (2002)

    Article  ADS  Google Scholar 

  231. J.R. Kirtley, P. Chaudhari, M.B. Ketchen, N. Khare, S.-Y. Lin, T. Shaw, Distribution of magnetic flux in high-T\(_{c}\) grain-boundary junctions enclosing hexagonal and triangular areas. Phys. Rev. B 51, R12057–R12060 (1995)

    Article  ADS  Google Scholar 

  232. F. Tafuri, J.R. Kirtley, F. Lombardi, F. Miletto Granozio, Intrinsic and extrinsic d-wave effects in YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) grain boundary Josephson junctions: implications for \(\pi \)-circuitry. Phys. Rev. B 67, 174516–174521 (2003)

    Google Scholar 

  233. J.R. Kirtley, K.A. Moler, D.J. Scalapino, Spontaneous flux and magnetic-interference patterns in 0-\(\pi \) Josephson junctions. Phys. Rev. B 56, 886–891 (1997)

    Article  ADS  Google Scholar 

  234. R.G. Mints, I. Papiashvili, J.R. Kirtley, H. Hilgenkamp, G. Hammerl, J. Mannhart, Observation of Splintered Josephson Vortices at Grain Boundaries in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\). Phys. Rev. Lett. 89, 067004–067007 (2002); R.G. Mints, I Papiashvili, Josephson vortices with fractional flux quanta at YBa\(_{2}\)Cu\(_{3}\)O\(_{7-x}\) grain boundaries. Phys. Rev. B 64, 134501–134505(2001)

    Google Scholar 

  235. M.H.S. Amin, A. N.Omelyanchouk, A.M. Zagoskin, Mechanisms of spontaneous current generation in an inhomogeneous d-wave superconductor. Phys. Rev. B 63, 212502–212505 (2001); M.H.S. Amin, S.N. Rashkeev, M. Coury, A.N. Omelyanchouk, A.M. Zagoskin, \(d+is\) versus \(d+id^{\prime }\) time reversal symmetry breaking states in finite size systems. Phys. Rev. B 66, 174515–172519 (2002)

    Google Scholar 

  236. T. Lofwander, V.S. Shumeiko, G. Wendin, Time-reversal symmetry breaking at Josephson tunnel junctions of purely \(d\)-wave superconductors. Phys. Rev. B 62, R14653–R14656 (2000)

    Article  ADS  Google Scholar 

  237. R. Carmi, E. Polturak, G. Koren, A. Auerbach, Spontaneous macroscopic magnetization at the superconducting transition temperature of YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\). Nature 404, 853–856 (2000)

    Article  ADS  Google Scholar 

  238. F. Tafuri, J.R. Kirtley, Spontaneous magnetic moments in YBa\(_{2}\)Cu\(_{3}\)O\(_{7-\delta }\) thin films. Phys. Rev. B 62, 13934–13937 (2000)

    Article  ADS  Google Scholar 

  239. B. Huaser, B.B.G. Klopman, G. Gerritsma, J. Gao, H. Rogalla, Response of YBaCuO thin-film microbridges to microwave irradiation. Appl. Phys. Lett. 54, 1368–1370 (1989)

    Article  ADS  Google Scholar 

  240. M.A.M. Gijs, J.E. Jansen, Microwave response of YBaCuO thin-film Dayem bridges. Appl. Phys. Lett. 56, 1484–1486 (1990)

    Article  ADS  Google Scholar 

  241. M. Siegel, E. Heinz, P. Seidel, V. Hilarius, Josephson effect on YBCO break junctions. Z. Phys. B 83, 323–330 (1991)

    Article  ADS  Google Scholar 

  242. J. Gao, Y. Bogulavskij, B.B.G. Klopman, D. Terpstra, G. Gerritsma, H. Rogalla, Characteristics of advanced YBa\(_{2}\)Cu\(_{3}\)O\(_{x}\)/PrBa\(_{2}\)Cu\(_{3}\)O\(_{x}\)/YBa\(_{2}\)Cu\(_{3}\)O\(_{x}\) edge type junctions. Appl. Phys. Lett. 59, 2754–2756 (1991)

    Article  ADS  Google Scholar 

  243. G. Koren, E. Aharoni, E. Polturak, D. Cohen, Properties of all YBa\(_{2}\)Cu\(_{3}\)O\(_{7}\) Josephson edge junctions prepared by in situ laser ablation deposition. Appl. Phys. Lett. 58, 634–636 (1991)

    Article  ADS  Google Scholar 

  244. R.L. Kautz, R.H. Ono, C.D. Reintsema, Effect of thermal noise on Shapiro steps in high-T\(_{c}\) Josephson weak links. Appl. Phys. Lett. 61, 342–344 (1992)

    Article  ADS  Google Scholar 

  245. R.L. Kautz, Large amplitude Shapiro steps and self-field effects in high-T\(_{c}\) Josephson weak links. Appl. Phys. Lett. 65, 1445–1447 (1994)

    Article  ADS  Google Scholar 

  246. S.R. Benz, M.S. Rzchowski, M. Tinkham, C.J. Lobb, Fractional giant Shapiro steps and spatially correlated phase motion in 2D Josephson arrays. Phys. Rev. Lett. 64, 693–696 (1990)

    Article  ADS  Google Scholar 

  247. D. Terpstra, R.P.J. Ijsselsteijm, H. Rogalla, Subharmonic Shapiro steps in high-T\(_{c}\) Josephson junctions. Appl. Phys. Lett. 66, 2286–2288 (1995)

    Article  ADS  Google Scholar 

  248. E.A. Early, A.F. Clark, K. Char, Half-integral constant voltage steps in high-T\(_{c}\) grain boundary junctions. Appl. Phys. Lett. 62, 3357–3359 (1993)

    Article  ADS  Google Scholar 

  249. A. Tsukazaki, A. Ohtomo, T. Kita, Y. Ohno, H. Ohno, M. Kawasaki, Quantum Hall effect in polar oxide heterostructures. Science 315, 1388–1390 (2007)

    Article  ADS  Google Scholar 

  250. A.D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, J.-M. Triscone, Electric field control of the LaAlO\(_{3}\)/SrTiO\(_{3}\) interface ground state. Nature 456, 624–627 (2008)

    Article  ADS  Google Scholar 

  251. D. Stornaiuolo, S. Gariglio, A. Fête, M. Gabay, D. Li, D. Massarotti, J.-M. Triscone, Weak localization and spin-orbit interaction in side-gate field effect devices at the LaAlO\(_{3}\)/SrTiO\(_{3}\) interface. Phys. Rev. B 90, 235426–23531 (2014)

    Google Scholar 

  252. C. Cen, S. Thiel, G. Hammerl, C. W. Schneider, K. E. Andersen, C. S. Hellberg, J. Mannhart and J. Levy, Nanoscale control of an interfacial metal-insulator transition at room temperature. Nat. Mat. 7, 298–302 (2008), M. Boselli, D. Li, W. Liu, A. Fte, S. Gariglio, J.-M. Triscone, Characterization of atomic force microscopy written conducting nanowires at LaAlO\(_{3}\)/SrTiO\(_{3}\) interfaces. Appl. Phys. Lett. 108, 061604–061608 (2016)

    Google Scholar 

  253. G. Cheng, M. Tomczyk, S.C. Lu, J.P. Veazey, M.C. Huang, P. Irvin, S. Ryu, H. Lee, C.B. Eom, C.S. Hellberg, J. Levy, Electron pairing without superconductivity. Nature 521, 196–199 (2015)

    Article  ADS  Google Scholar 

  254. D. Stornaiuolo, D. Massarotti, R. Di Capua, P. Lucignano, G.P. Pepe, M. Salluzzo, F. Tafuri, Signatures of unconventional superconductivity in the LaAlO\(_{3}\)/SrTiO\(_{3}\) two-dimensional system. Phys. Rev. B 95, 140502–140506 (2017)

    Article  ADS  Google Scholar 

  255. G.E.D.K. Prawiroatmodjo, M. Leijnse, F. Trier, Y. Chen, D.V. Christensen, M. von Soosten, N. Pryds, T.S. Jespersen, Transport and excitations in a negative-U quantum dot at the LaAlO\(_{3}\)/SrTiO\(_{3}\) interface. Nat. Comm. 8, 395–401 (2017)

    Article  ADS  Google Scholar 

  256. S. Goswami, E. Mulazimoglu, A.M.R.V.L. Monteiro, R . Wlbing D. Koelle, R. Kleiner Y.M. Blanter, L.M.K. Vandersypen, A.D. Caviglia, Quantum interference in an interfacial superconductor. Nat. Nanotech. 11, 861–865 (2016)

    Article  ADS  Google Scholar 

  257. A. Ohtomo, H.Y. Hwang, A high-mobility electron gas at the LaAlO3/SrTiO3 heterointerface. Nature 427, 423–426 (2004)

    Article  ADS  Google Scholar 

  258. N. Reyren, S. Thiel, A.D. Caviglia, L.F. Kourkoutis, G. Hammerl, C. Richter, C.W. Schneider, T. Kopp, A.-S. Retschi, D. Jaccard, M. Gabay, D.A. Muller, J.-M. Triscone and J. Mannhart, Superconducting interfaces between insulating oxides. Science317, 1196–1199 (2007)

    Google Scholar 

  259. H. Y. Hwang, Y. Iwasa, M. Kawasaki, B. Keimer, N. Nagaosa, Y. Tokura, Emergent phenomena at oxide interfaces. Nat. Mat. 11, 103–115 (2012); P. Zubko, S. Gariglio, M. Gabay, P. Ghosez, J.-M. Triscone, Interface Physics in Complex Oxide Heterostructures. Annu. Rev. Condens. Matter Phys. 2, 141–165 (2011)

    Google Scholar 

  260. Y.-Y. Pai, A. Tylan-Tyler, P. Irvin, J. Levy, Physics of SrTiO\(_{3}\) based heterostructures and nanostructures: a review. Rep. Prog. Phys. 81, 036503–036556 (2018)

    Article  ADS  Google Scholar 

  261. A.D. Caviglia, M. Gabay, S. Gariglio, N. Reyren, C. Cancellieri, J.-M. Triscone, Tunable Rashba Spin-Orbit Interaction at Oxide Interfaces. Phys. Rev. Lett. 104,126803–126806 (2010); M. Ben Shalom, M. Sachs, D. Rakhmilevitch, A. Palevski, Y. Dagan, Tuning Spin- Orbit Coupling and Superconductivity at the SrTiO3/LaAlO3 interface: a magnetotransport study. Phys. Rev. Lett. 104, 126802–126805 (2010)

    Google Scholar 

  262. Lev P. Gor’kov, Emmanuel I. Rashba, Superconducting 2D System with Lifted Spin Degeneracy: Mixed Singlet-Triplet State. Phys. Rev. Lett. 87, 037004–037008 (2001)

    Article  ADS  Google Scholar 

  263. F. Loder, A. P. Kampf, T. Kopp, Superconductivity with Rashba spin-orbit coupling and magnetic field, J. Phys.: Condens. Matter 25, 362201-362209 (2013); M. S. Scheurer, J. Schmalian, Topological superconductivity and unconventional pairing in oxide interfaces. Nat. Comm. 6, 6005–6014 (2015); V. Kozii, L. Fu, Odd-Parity Superconductivity in the Vicinity of Inversion Symmetry Breaking in Spin-Orbit-Coupled Systems. Phys. Rev. Lett. 115, 207002–207005 (2015); K.-C. Weng, C. D. Hu, The p-wave superconductivity in the presence of Rashba interaction in 2DEG. Scient. Rep. 6, 29919–29934 (2016)

    Google Scholar 

  264. C.W. Schneider, S. Thiel, G. Hammerl, C. Richter, J. Mannhart, Microlithography of electron gases formed at interfaces in oxide heterostructures. Appl. Phys. Lett. 89, 122101–122103 (2006)

    Article  ADS  Google Scholar 

  265. D. Stornaiuolo, S. Gariglio, N.J.G. Couto, A. Fête, A.D. Caviglia, G. Seyfarth, D. Jaccard, A.F. Morpurgo, J.-M. Triscone, In-plane electronic confinement in superconducting LaAlO\(_{3}\)/SrTiO\(_{3}\) nanostructures. Appl. Phys. Lett. 101, 222601–222604 (2012)

    Article  ADS  Google Scholar 

  266. H. Thierschmann, E. Mulazimoglu, N.a Manca, S. Goswami, T. M. Klapwijk, A. D. Caviglia, Transport regimes of a split gate superconducting quantum point contact in the two-dimensional LaAlO\(_{3}\)/SrTiO\(_{3}\) superfluid. Nat. Comm. 9, 2276–2281 (2018)

    Google Scholar 

  267. S. Gariglio, A.D. Caviglia, J.-M. Triscone, M. Gabay, A Spin-Orbit Playground: Surfaces and Interfaces of Transition Metal Oxides. Rep. Prog. Phys. 82, 012501 (2019)

    Article  ADS  Google Scholar 

  268. E. Trabaldo, R. Arpaia, M. Arzeo, E. Andersson, D. Golubev, F. Lombardi and T. Bauch, Transport and noise properties of YBCO nanowire based nanoSQUIDs. Supercond. Sci. Technol. 32, 073001–073017 (2019)

    Article  ADS  Google Scholar 

  269. E. Trabaldo, C. Pfeiffer, E. Andersson, R. Arpaia, A. Kalaboukhov, D. Winkler, F. Lombardi, and T. Bauch, Grooved Dayem nanobridges as building blocks of high-performance YBaCuO SQUID magnetometers. Nano letters 19, 1902–1907 (2019)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniela Stornaiuolo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Stornaiuolo, D., Tafuri, F. (2019). High Critical Temperature Superconductor Josephson Junctions and Other Exotic Structures. In: Tafuri, F. (eds) Fundamentals and Frontiers of the Josephson Effect. Springer Series in Materials Science, vol 286. Springer, Cham. https://doi.org/10.1007/978-3-030-20726-7_8

Download citation

Publish with us

Policies and ethics