Skip to main content
SpringerLink
Log in

Recent Achievements on the Physics of High-T C Superconductor Josephson Junctions: Background, Perspectives and Inspiration

  • Review Article
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

Coherent passage of Cooper pairs in a Josephson junction (JJ) above the liquid nitrogen temperature has been the first impressive revolutionary effect induced by high critical temperature superconductors (HTS) in the domain of the study of Josephson effect (JE). But this has been only the start. A d-wave order parameter has lead to significant novel insights in the physics of the JE turning into a device the notion of a π-junction. Spontaneous currents in a frustrated geometry, Andreev bound states, long-range proximity effect have rapidly become standard terms in the study of the JE, standing as a reference bench for conventional systems based on low critical temperature superconductors (LTS) and inspiring analogies for junctions based on novel superconductors discovered in the meantime. The extreme richness of the physics of HTS JJs has not been adequately supported by the expected impact in the applications, the main reason lying in the complexity of these materials and in the consequent unsatisfactory yield and reproducibility of the performances of the JJs within the required limits. The continuous progress in material science, and specifically in the realization of oxide multi-layers, and in nanotechnologies applied to superconductors, accompanied by the advances in a better understanding of the properties of HTS and of HTS devices, has as a matter of fact opened possible novel scenarios and interest in the field. We intend to give a brief overview on interesting new problems concerning HTS JJs of inspiration also for other systems. We also review some ideas and experimental techniques on macroscopic quantum decay phenomena occurring in Josephson structures. The attention is mainly addressed to intermediate levels of dissipation, which characterize a large majority of low critical current Josephson devices and are therefore an unavoidable consequence of nanotechnology applied more and more to Josephson devices.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Bednorz, J.G., Muller, K.A.: Possible high T c superconductivity in the Ba–La–Cu–O system. Z. Phys. B 64, 189 (1986)

    Article  ADS  Google Scholar 

  2. Josephson, B.D.: Possible new effects in superconducting tunnelling. Phys. Lett. 1(7), 251 (1962)

    Article  ADS  MATH  Google Scholar 

  3. Kulik, I.O., Yanson, K.: The Josephson Effect in Superconductive Tunneling Structures. Israel Program of Scientific Translations, Jerusalem (1972)

    Google Scholar 

  4. Barone, A., Paternó, G.: Physics and Applications of the Josephson Effect. Wiley, New York (1982)

    Book  Google Scholar 

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

    Google Scholar 

  6. Likharev, K.K.: Superconducting weak links. Rev. Mod. Phys. 51, 101 (1979)

    Article  ADS  Google Scholar 

  7. Caldeira, A.O., Leggett, A.J.: Influence of dissipation on quantum tunneling in macroscopic systems. Phys. Rev. Lett. 46, 211 (1981)

    Article  ADS  Google Scholar 

  8. Leggett, A.J.: Prospects in ultralow temperature physics. J. Phys. (Paris) Colloq. 39, C6-1264 (1980)

    Article  Google Scholar 

  9. Caldeira, A.O., Leggett, A.J.: Quantum tunneling in a dissipative system. Ann. Phys. (N.Y.) 149, 374 (1983)

    Article  ADS  Google Scholar 

  10. Andreev, A.F.: Thermal conductivity of the intermediate state of superconductors. Zh. Eksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1964)]

    Google Scholar 

  11. Kulik, I.O.: Macroscopic quantization and the proximity effect in SNS junctions. Sov. Phys. JETP 30, 944 (1969). Zh. Eksp. Teor. Fiz. 30, 944 (1969)

    ADS  Google Scholar 

  12. Hu, C.-R.: Midgap surface states as a novel signature for \(d_{xa^{2}-xb^{2}}\)-wave superconductivity. Phys. Rev. Lett. 72, 1526 (1994)

    Article  ADS  Google Scholar 

  13. Kashiwaya, S., Tanaka, Y.: Tunnelling effects on surface bound states in unconventional superconductors. Rep. Prog. Phys. 63, 1641 (2000)

    Article  ADS  Google Scholar 

  14. Lofwander, T., Shumeiko, V., Wendin, G.: Andreev bound states in high-T c superconducting junctions. Supercond. Sci. Technol. 14, R53 (2001)

    Article  ADS  Google Scholar 

  15. Tsuei, C.C., Kirtley, J.R.: Phase-sensitive evidence for d-wave pairing symmetry in electron-doped cuprate superconductors. Rev. Mod. Phys. 72, 969 (2000)

    Article  ADS  Google Scholar 

  16. Van Harlingen, D.J.: Phase-sensitive tests of the symmetry of the pairing state in the high-temperature superconductors: evidence for \(d_{x^{2}-y^{2}}\) symmetry. Rev. Mod. Phys. 67, 515 (1995)

    Article  ADS  Google Scholar 

  17. Van Duzer, T., Turner, C.W.: Principles of Superconductive Devices and Circuits. Elsevier, New York (1991)

    Google Scholar 

  18. Clarke, J., Wilhelm, F.: Superconducting quantum bits. Nature 453, 1031 (2008)

    Article  ADS  Google Scholar 

  19. Hilgenkamp, H., Mannhart, J.: Grain boundaries in high-T c superconductors. Rev. Mod. Phys. 74, 485 (2002)

    Article  ADS  Google Scholar 

  20. Tafuri, F., Kirtley, J.R.: High T c superconductor weak links. Rep. Prog. Phys. 68, 2573 (2005)

    Article  ADS  Google Scholar 

  21. Kirtley, J.R., Tafuri, F.: In: Brooks, J.S., Schrieffer, J.R. (eds.) Handbook of High-Temperature Superconductivity: Theory and Experiment, pp. 19–85. Springer, Berlin (2007)

    Chapter  Google Scholar 

  22. Mannhart, J., Chaudhari, P., Dimos, D., Tsuei, C.C., McGuire, T.M.: Critical currents in [001] grains and across their tilt boundaries in YBa2Cu3O7 films. Phys. Rev. Lett. 61, 2476 (1988)

    Article  ADS  Google Scholar 

  23. Chaudari, P., Mannhart, J., Dimos, D., Tsuei, C.C., Chi, C.C., Oprysko, M.M., Scheuermann, M.: Direct measurement of the superconducting properties of single grain boundaries in Y1Ba2Cu3O7−δ . Phys. Rev. Lett. 60, 1653 (1988)

    Article  ADS  Google Scholar 

  24. Dimos, D., Chaudhari, P., Mannhart, J.: Superconducting transport properties of grain boundaries in YBa2Cu3O7 bicrystals. Phys. Rev. B 41, 4038 (1990)

    Article  ADS  Google Scholar 

  25. Kamihara, Y., Hiramatsu, H., Hirano, M., Kawamura, R., Yanagi, H., Kamiya, T., Hosono, H.: Iron-based layered superconductor: LaOFeP. J. Am. Chem. Soc. 128, 10012 (2006)

    Article  Google Scholar 

  26. Takahashi, H., Igawa, K., Arii, K., Kamihara, Y., Hirano, M., Hosono, H.: Superconductivity at 43 K in an iron-based layered compound LaO1−x Fe x As. Nature 453, 376 (2008)

    Article  ADS  Google Scholar 

  27. Seidel, P.: Josephson effects in iron based superconductors. Supercond. Sci. Technol. 24, 043001 (2011)

    Article  ADS  Google Scholar 

  28. Stepantsov, E., Tarasov, M., Naito, M., Tsukada, A., Winkler, D.: Grain boundary weak link in a-b plane in MgB2 film. Appl. Phys. Lett. 89, 213111 (2006)

    Article  ADS  Google Scholar 

  29. Nagamatsu, J., Nakagawa, N., Muranaka, T., Zenitani, Y., Akimitsu, J.: Superconductivity at 39 K in magnesium diboride. Nature 410, 63 (2001)

    Article  ADS  Google Scholar 

  30. Cui, Y., Chen, K., Li, Q., Xi, X.X., Rowell, J.M.: Degradation-free interfaces in MgB2/insulator/Pb Josephson tunnel junctions. Appl. Phys. Lett. 89, 202513 (2006)

    Article  ADS  Google Scholar 

  31. Di Capua, R., Aebersold, H.U., Ferdeghini, C., Ferrando, V., Orgiani, P., Putti, M., Salluzzo, M., Vaglio, R., Xi, X.X.: Role of interband scattering in neutron irradiated MgB2 thin films by scanning tunneling spectroscopy measurements. Phys. Rev. B 75, 014515 (2007)

    Article  ADS  Google Scholar 

  32. Iavarone, M., Di Capua, R., Koshelev, A.E., Kwok, W.K., Chiarella, F., Vaglio, R., Kang, W.N., Choi, E.M., Kim, H.J., Lee, S.I., Pogrebnyakov, A.V., Redwing, J.M., Xi, X.X.: Effect of disorder in MgB2 thin films. Phys. Rev. B 71, 214502 (2005)

    Article  ADS  Google Scholar 

  33. Rubano, A., Paparo, D., Miletto, F., Scotti di Uccio, U., Marrucci, L.: Recombination kinetics of a dense electron–hole plasma in strontium titanate. Phys. Rev. B 76, 125115 (2007)

    Article  ADS  Google Scholar 

  34. Char, K., Colclough, M.S., Garrison, S.M., Newman, N., Zaharchuk, G.: Biepitaxial grain boundary junctions in YBa2Cu3O7. Appl. Phys. Lett. 59, 733 (1991)

    Article  ADS  Google Scholar 

  35. Tafuri, F., Miletto Granozio, F., Carillo, F., Di Chiara, A., Verbist, K., Van Tendeloo, G.: Microstructure and Josephson phenomenology in 45° tilt and twist YBaCuO artificial grain boundaries. Phys. Rev. B 59, 11523 (1999)

    Article  ADS  Google Scholar 

  36. 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 YBaCuO Josephson junctions for fundamental studies and potential circuit implementation. Phys. Rev. B 62, 14431 (2000)

    Article  ADS  Google Scholar 

  37. Di Chiara, A., Lombardi, F., Miletto Granozio, F., Scotti di Uccio, U., Tafuri, F., Valentino, M.: YBaCuO grain boundary Josephson junctions with a MgO seed layer. IEEE Trans. Appl. Supercond. 7, 3327 (1997)

    Article  Google Scholar 

  38. Lombardi, F., Tafuri, F., Ricci, F., Miletto Granozio, F., Barone, A., Testa, G., Sarnelli, E., Kirtley, J.R., Tsuei, C.C.: Intrinsic d-wave effects in YBaCuO grain boundary Josephson junctions. Phys. Rev. Lett. 89, 207001 (2002)

    Article  ADS  Google Scholar 

  39. Miletto Granozio, F., Scotti di Uccio, U., Lombardi, F., Ricci, F., Bevilacqua, F., Ausanio, G., Carillo, F., Tafuri, F.: Structure and properties of symmetric and asymmetric YBaCuO Josephson junctions realized by a novel CeO2-based biepitaxial technique. Phys. Rev. B 67, 184506 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  41. Bauch, T., Lombardi, F., Tafuri, F., Rotoli, G., Barone, A., Delsing, P., Cleason, T.: Macroscopic quantum tunneling in d-wave YBaCuO Josephson junctions. Phys. Rev. Lett. 94, 087003 (2005)

    Article  ADS  Google Scholar 

  42. Bauch, T., Lindström, T., Tafuri, F., Rotoli, G., Delsing, P., Claeson, T., Lombardi, F.: Quantum dynamics of a d-wave Josephson junction. Science 311, 5757 (2006)

    Article  Google Scholar 

  43. Longobardi, L., Massarotti, D., Stornaiuolo, D., Galletti, L., Rotoli, G., Lombardi, F., Tafuri, F.: Direct transition from quantum escape to phase diffusion regime in YBaCuO biepitaxial Josephson junctions. Phys. Rev. Lett. 109, 050601 (2012)

    Article  ADS  Google Scholar 

  44. Mitchell, E.E., Macfarlane, J.C., Foley, C.P.: Transport properties of variable-angle YBCO step-edge junctions in the a–b plane. Supercond. Sci. Technol. 24, 055004 (2011)

    Article  ADS  Google Scholar 

  45. Mitchell, E.E., Foley, C.P.: YBCO step-edge junctions: influence of morphology on junction transport. IEEE Trans. Appl. Supercond. 21, 371 (2011)

    Article  ADS  Google Scholar 

  46. Stornaiuolo, D., Rotoli, G., Cedergren, K., Born, D., Bauch, T., Lombardi, F., Tafuri, F.: Submicron YBaCuO biepitaxial Josephson junctions: d-wave effects and phase dynamics. J. Appl. Phys. 107, 11390 (2010)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  48. Mannhart, J., Blank, D.H.A., Hwang, H.Y., Millis, A.J., Triscone, J.-M.: Two-dimensional electron gases at oxide interfaces. Mater. Res. Soc. Bull. 33, 1027 (2008)

    Article  Google Scholar 

  49. Mannhart, J., Schlom, D.G.: Oxide interfaces—an opportunity for electronics. Science 327, 1607 (2010)

    Article  ADS  Google Scholar 

  50. Radovic, M., Salluzzo, M., Ristic, Z., Di Capua, R., Lampis, N., Vaglio, R., Miletto Granozio, F.: In situ investigation of the early stage of TiO2 epitaxy on (001) SrTiO3. J. Chem. Phys. 135, 034705 (2011)

    Article  ADS  Google Scholar 

  51. Antognazza, L., Moeckly, B.H., Geballe, T.H., Char, K.: Properties of high-T c Josephson junctions with Y0.7Ca0.3Ba2Cu3O7−δ barrier layers. Phys. Rev. B 52, 4559 (1995)

    Article  ADS  Google Scholar 

  52. Gurvitch, M., Valles, J.J.M., Cucolo, A.M., Dynes, R.C., Garno, J.P., Schneemeyer, L.F., Waszcak, J.V.: Reproducible tunneling data on chemically etched single crystals of YBa2Cu3O7. Phys. Rev. Lett. 63, 1008 (1989)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  54. Wollman, D.A., Van Harlingen, D.J., Giapintzakis, J., Ginsberg, D.M.: Evidence for \(d_{x^{2}-y^{2}}\) pairing from the magnetic field modulation of YBa2Cu3O7-Pb Josephson junctions. Phys. Rev. Lett. 74, 797 (1995)

    Article  ADS  Google Scholar 

  55. Katz, A.G., Sun, A.G., Dynes, R.C., Char, K.: Fabrication of all thin-film YBa2Cu3O7−δ/Pb Josephson tunnel junctions. Appl. Phys. Lett. 66, 105 (1995)

    Article  ADS  Google Scholar 

  56. Smilde, H.J.H., Ariando, D.H., Blank, A., Gerritsma, G.J., Hilgenkamp, H., Rogalla, H.: d-wave induced Josephson current counterflow in YBa2Cu3O7/Nb zigzag junctions. Phys. Rev. Lett. 88, 057004 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  58. Virshup, G.F., Klusmeier-Brown, M.E., Bozovic, I., Eckstein, J.N.: Hysteretic, high T c Josephson junctions using heterostructure trilayer films grown by molecular beam epitaxy. Appl. Phys. Lett. 60, 2288 (1992)

    Article  ADS  Google Scholar 

  59. Klusmeier-Brown, M.E., Virshup, G.F., Bozovic, I., Eckstein, J.N., Ralls, K.S.: Engineering of ultrathin barriers in high T c , trilayer Josephson junctions. Appl. Phys. Lett. 60, 2806 (1992)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  61. Demler, E., Berlinsky, A.J., Kallin, C., Arnold, G.B., Beasley, M.R.: Proximity effect and Josephson coupling in the SO(5) theory of high-T c superconductivity. Phys. Rev. Lett. 80, 2917 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  63. Decca, R.S., Drew, H.D., Osquiguil, E., Maiorov, B., Guimpel, J.: Anomalous proximity effect in underdoped YBa2Cu3O6+x Josephson junctions. Phys. Rev. Lett. 85, 3708 (2000)

    Article  ADS  Google Scholar 

  64. Kresin, V., Ovchinnikov, Yu., Wolf, S.: Giant Josephson proximity effect. Appl. Phys. Lett. 83, 722 (2003)

    Article  ADS  Google Scholar 

  65. Kleiner, R., Stenmeyer, F., Kunkel, G., Muller, P.: Intrinsic Josephson effects in Bi2Sr2CaCu2O8 single crystals. Phys. Rev. Lett. 68, 2394 (1992)

    Article  ADS  Google Scholar 

  66. Kleiner, R., Muller, P.: Intrinsic Josephson effects in high-T c superconductors. Phys. Rev. B 49, 1327 (1994)

    Article  ADS  Google Scholar 

  67. Yurgens, A.A.: Intrinsic Josephson junctions: recent developments. Supercond. Sci. Technol. 13, R85 (2000)

    Article  ADS  Google Scholar 

  68. Wang, H.B., Wu, P.H., Yamashita, T.: Stacks of intrinsic Josephson junctions singled out from inside Bi2Sr2CaCu2O8+x single crystals. Appl. Phys. Lett. 78, 4010 (2001)

    Article  ADS  Google Scholar 

  69. Krasnov, V.M., Golod, T., Bauch, T., Delsing, P.: Anticorrelation between temperature and fluctuations of the switching current in moderately damped Josephson junctions. Phys. Rev. B 76, 224517 (2007)

    Article  ADS  Google Scholar 

  70. Krasnov, V.M., Bauch, T., Intiso, S., Hurfeld, E., Akazaki, T., Takayanagi, H., Delsing, P.: Collapse of thermal activation in moderately damped Josephson junctions. Phys. Rev. Lett. 95, 157002 (2005)

    Article  ADS  Google Scholar 

  71. Tsuei, C.C., Kirtley, J.R., Chi, C.C., Yu-Jahnes, L.S., Gupta, A., Shaw, T., Sun, J.Z., Ketchen, M.B.: Pairing symmetry and flux quantization in a tricrystal superconducting ring of YBa2Cu3O7−δ . Phys. Rev. Lett. 73, 593 (1994)

    Article  ADS  Google Scholar 

  72. Ryazanov, V.V., Oboznov, V.A., Veretennikov, A.V., Rusanov, A.Yu.: Intrinsically frustrated superconducting array of superconductor-ferromagnet-superconductor π junctions. Phys. Rev. B 65, 020501(R) (2001)

    Article  Google Scholar 

  73. Bauer, A., Bentner, J., Aprili, M., Della Rocca, M.L., Reinwald, M., Wegscheider, W., Strunk, C.: Spontaneous supercurrent induced by ferromagnetic π junctions. Phys. Rev. Lett. 92, 217001 (2004)

    Article  ADS  Google Scholar 

  74. Buzdin, A.I.: Proximity effects in superconductor-ferromagnet heterostructures. Rev. Mod. Phys. 77, 935976 (2005)

    Article  Google Scholar 

  75. Khaire, T.S., Khasawneh, M.A., Pratt, W.P., Birge, N.O.: Observation of spin-triplet superconductivity in Co-based Josephson junctions. Phys. Rev. Lett. 104, 137002 (2010)

    Article  ADS  Google Scholar 

  76. Kawabata, S., Asano, Y., Tanaka, Y., Golubov, A.A., Kashiwaya, S.: Josephson π state in a ferromagnetic insulator. Phys. Rev. Lett. 104, 117002 (2010)

    Article  ADS  Google Scholar 

  77. Senapati, K., Blamire, M.G., Barber, Z.H.: Spin-filter Josephson junctions. Nat. Mater. 10, 849 (2011)

    Article  ADS  Google Scholar 

  78. Walker, M.B., Luettmer-Strathman, J.: Josephson tunneling in high-T c superconductors. Phys. Rev. B 54, 588 (1996)

    Article  ADS  Google Scholar 

  79. Sigrist, M., Rice, T.M.: Paramagnetic effect in high T c superconductors—a hint for d-wave superconductivity. J. Phys. Soc. Jpn. 61, 4283 (1992)

    Article  ADS  Google Scholar 

  80. Hilgenkamp, H.: Pi-phase shift Josephson structures. Supercond. Sci. Technol. 21, 034011 (2008)

    Article  ADS  Google Scholar 

  81. Sigrist, M.: Time-reversal symmetry breaking states in high-temperature superconductors. Prog. Theor. Phys. 99, 899 (1998)

    Article  ADS  Google Scholar 

  82. Goldobin, E., Koelle, D., Kleiner, R., Buzdin, A.: Josephson junctions with second harmonic in the current-phase relation: properties of ϕ junctions. Phys. Rev. B 76, 224523 (2007)

    Article  ADS  Google Scholar 

  83. Fu, L., Kane, C.L., Mele, E.J.: Superconducting proximity effect and Majorana fermions at the surface of a topological insulator. Phys. Rev. Lett. 100, 096407 (2008)

    Article  ADS  Google Scholar 

  84. Fu, L., Kane, C.L.: Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction. Phys. Rev. B 79, 161408(R) (2009)

    Article  ADS  Google Scholar 

  85. Tanaka, Y., Yokoyama, T., Nagaosa, N.: Manipulation of the Majorana fermion, Andreev reflection, and Josephson current on topological insulators. Phys. Rev. Lett. 103, 107002 (2009)

    Article  ADS  Google Scholar 

  86. Lutchyn, R.M., Sau, J.D., Das Sarma, S.: Majorana fermions and a topological phase transition in semiconductor–superconductor heterostructures. Phys. Rev. Lett. 105, 077001 (2010)

    Article  ADS  Google Scholar 

  87. Akhmerov, A.R., Nilsson, J., Beenakker, C.W.J.: Electrically detected interferometry of majorana fermions in a topological insulator. Phys. Rev. Lett. 102, 216404 (2009)

    Article  ADS  Google Scholar 

  88. Pablo, S.-J., Prada, E., Aguado, R.: A Josephson effect in finite-length nanowire junctions with Majorana modes. Phys. Rev. Lett. 108, 257001 (2012)

    Article  ADS  Google Scholar 

  89. Veldhorst, M., Molenaar, C.G., Wang, X.L., Hilgenkamp, H., Brinkman, A.: Experimental realization of superconducting quantum interference devices with topological insulator junctions. Appl. Phys. Lett. 100, 072602 (2012)

    Article  ADS  Google Scholar 

  90. Veldhorst, M., Snelder, M., Hoek, M., Gang, T., Wang, X.L., Guduru, V.K., Zeitler, U., Wiel, W.G., Golubov, A.A., Hilgenkamp, H., Brinkman, A.: Josephson supercurrent through a topological insulator surface state. Nat. Mater. 11, 417 (2012)

    Article  ADS  Google Scholar 

  91. Williams, J.R., Bestwick, A.J., Gallagher, P., Hong, S.S., Cui, Y., Bleich, A.S., Analytis, J.G., Fisher, I.R., Goldhaber-Gordon, D.: Unconventional Josephson effect in hybrid superconductor-topological insulator devices. Phys. Rev. Lett. 109, 056803 (2012)

    Article  ADS  Google Scholar 

  92. Lucignano, P., Mezzacapo, A., Tafuri, F., Tagliacozzo, A.: Advantages of using YBCO-nanowire-YBCO heterostructures in the search for Majorana fermions. Phys. Rev. B 86, 144513 (2012)

    Article  ADS  Google Scholar 

  93. Takei, S., Fregoso, B.M., Galitski, V., Das Sarma, S.: Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T c superconductors. Cond. Mat. 1206.3226 (2012)

  94. Yamakage, A., Sato, M., Kashiwaya, S., Tanaka, Y.: Anomalous Josephson current in superconducting topological insulator. Cond. Mat. 1208.5306 (2012)

  95. Golubov, A.A., Kupryanov, M.Yu., Ilichev, E.: The current-phase relation in Josephson junctions. Rev. Mod. Phys. 76, 411 (2004)

    Article  ADS  Google Scholar 

  96. Kulik, I.O., Omelyanchuk, A.N.: Contribution to the microscopic theory of the Josephson effect in superconducting bridges. Pis’ma Zh. Eksp. Teor. Fiz. 21, 216 (2005) [JETP Lett. 21, 96 (2005)]

    Google Scholar 

  97. Kulik, I.O., Omelyanchuk, A.N.: Properties of superconducting microbridges in the pure limit. Fiz. Nizk. Temp. 4, 945 (1977) [Sov. J. Low Temp. Phys. 3, 459 (1977)]

    Google Scholar 

  98. Ilichev, E., Zakosarenko, V., Ljsselsteijn, R.P.J., Hoenig, H.E., Schultze, V., Meyer, H.G., Grajcar, M., Hlubina, R.: Anomalous periodicity of the current-phase relationship of grain-boundary Josephson junctions in high-T c superconductors. Phys. Rev. B 60, 3096 (1999)

    Article  ADS  Google Scholar 

  99. Ilichev, E., Grajcar, M., Hlubina, R., Ljsselsteijn, R.P.J., Hoenig, H.E., Meyer, H.G., Golubov, A., Amin, M.H.S., Zagoskin, A.M., Omelyanchuk, A.N., Kupriyanov, M.Yu.: Degenerate ground state in a mesoscopic YBa2Cu3O7−x grain boundary Josephson junction. Phys. Rev. Lett. 86, 5369 (2001)

    Article  ADS  Google Scholar 

  100. Lindström, T., Charlebois, S.A., Tzalenchuk, A.Ya., Ivanov, Z., Amin, M.H.S., Zagoskin, A.M.: Dynamical effects of an unconventional current-phase relation in YBCO dc SQUIDs. Phys. Rev. Lett. 90, 117002 (2003)

    Article  ADS  Google Scholar 

  101. Gardiner, C.H., Lee, R.A.M., Gallop, J.C., Tzalenchuk, A.Ya., Macfarlane, J.C., Hao, L.: Degenerate ground state and anomalous flux hysteresis in an YBa2Cu3O7 grain boundary rf SQUID. Supercond. Sci. Technol. 17, S234 (2004)

    Article  ADS  Google Scholar 

  102. Terpstra, D., IJsselsteijn, R.P.J., Rogalla, H.: Subharmonic Shapiro steps in high-T c Josephson junctions. Appl. Phys. Lett. 66, 2286 (1995)

    Article  ADS  Google Scholar 

  103. Early, E.A., Clark, A.F., Char, K.: Half integral constant voltage steps in high-T c grain boundary junctions. Appl. Phys. Lett. 62, 3357 (1993)

    Article  ADS  Google Scholar 

  104. Bulaevskii, L.N., Kuzii, V.V., Sobyanin, A.A.: Superconducting system with weak coupling to the current in the ground state. JETP Lett. 25, 290 (1977)

    ADS  Google Scholar 

  105. Geshkenbein, V.B., Larkin, A.I.: The Josephson effect in superconductors with heavy fermions. JETP Lett. 43(6), 395 (1986)

    ADS  Google Scholar 

  106. Geshkenbein, V.B., Larkin, A.I., Barone, A.: Vortices with half magnetic flux quanta in heavy-fermion superconductors. Phys. Rev. B 36, 235 (1987)

    Article  ADS  Google Scholar 

  107. Braunisch, W., Knauf, N., Kateev, V., Neuhausen, S., Grütz, A., Kock, A., Roden, B., Khomskii, D., Wohlleben, D.: Paramagnetic Meissner effect in Bi high temperature superconductors. Phys. Rev. Lett. 68, 1908 (1992)

    Article  ADS  Google Scholar 

  108. Andreev, A.V., Buzdin, A.I., Osgood, R.M.: π phase in magnetic-layered superconductors. Phys. Rev. B 43, 10124 (1991)

    Article  ADS  Google Scholar 

  109. Goldobin, E., Koelle, D., Kleiner, R.: Semifluxons in long Josephson 0–π-junctions. Phys. Rev. B 66, 100508(R) (2002)

    Article  ADS  Google Scholar 

  110. Goldobin, E., Koelle, D., Kleiner, R.: Ground states of one and two fractional vortices in long Josephson 0–k junctions. Phys. Rev. B 70, 174519 (2004)

    Article  ADS  Google Scholar 

  111. Schulz, R.R., Chesca, B., Goetz, B., Schneider, C.W., Schmehl, A., Bielefeldt, H., Hilgenkamp, H., Mannhart, J., Tsuei, C.C.: Design and realization of an all d-wave dc π-superconducting quantum interference device. Appl. Phys. Lett. 76, 912 (2000)

    Article  ADS  Google Scholar 

  112. Hilgenkamp, H.J.H., Ariando, Smilde, H., Blank, D.H.A., Rijnders, G., Rogalla, H., Kirtley, J.R., Tsuei, C.C.: Ordering and manipulation of the magnetic moments in large-scale superconducting π-loop arrays. Nature 422, 50 (2003)

    Article  ADS  Google Scholar 

  113. Kirtley, J.R., Tsuei, C.C., Ariando, Verwijs, C.J.M., Harkema, S., Hilgenkamp, H.: Angle-resolved phase-sensitive determination of the in-plane gap symmetry in YBCO. Nat. Phys. 2, 190 (2006)

    Article  Google Scholar 

  114. Kirtley, J.: Fundamental studies of superconductors using scanning magnetic imaging. Rep. Prog. Phys. 73, 126501 (2010)

    Article  ADS  Google Scholar 

  115. Bjornsson, P.G., Maeno, Y., Huber, M.E., Moler, K.: Scanning magnetic imaging of Sr2RuO4. Phys. Rev. B 72, 12504 (2005)

    Article  ADS  Google Scholar 

  116. Kirtley, J.R., Kallin, C., Hicks, C.W., Kim, E.A., Liu, Y., Moler, K.A., Maeno, Y.Y., Nelson, K.D.: Upper limit on spontaneous supercurrents in Sr2RuO4. Phys. Rev. B 76, 14526 (2007)

    Article  ADS  Google Scholar 

  117. Hicks, C.W., Kirtley, J.R., Lippman, T.M., Koshnick, N.C., Huber, M.E., Maeno, Y., Yuhasz, W.M., Maple, M.B., Moler, K.A.: Limits on superconductivity-related magnetization in Sr2RuO4 and PrOs4Sb12 from scanning SQUID microscopy. Phys. Rev. B 81, 214501 (2010)

    Article  ADS  Google Scholar 

  118. Maeno, Y., Hashimoto, H., Yoshida, K., Nishizaki, S., Fujita, T., Bednorz, J.G., Lichtenberg, F.: Superconductivity in a layered perovskite without copper. Nature 372, 532 (1994)

    Article  ADS  Google Scholar 

  119. Mackenzie, A.P., Maeno, Y.: The superconductivity of Sr2RuO4 and the physics of spin-triplet pairing. Rev. Mod. Phys. 75, 657–712 (2003)

    Article  ADS  Google Scholar 

  120. Fittipaldi, R., Vecchione, A., Ciancio, R., Pace, S., Cuoco, M., Stornaiuolo, D., Born, D., Tafuri, F., Olsson, E., Kittaka, S., Yaguchi, H., Maeno, Y.: Superconductivity in Sr2RuO4-Sr3Ru2O7 eutectic crystals. Europhys. Lett. 83, 27007 (2008)

    Article  ADS  Google Scholar 

  121. Tafuri, F., Kirtley, J.R., Medaglia, P.G., Orgiani, P., Balestrino, G.: Penetration depths of artificially layered [Ba0,9Nd0,1CuO2+x ] m /[CaCuO2] n systems. Phys. Rev. Lett. 92, 157006 (2004)

    Article  ADS  Google Scholar 

  122. Bert, J.A., Kalisky, B., Bell, C., Kim, M., Hikita, Y., Hwang, H.Y., Moler, K.A.: Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface. Nat. Phys. 7, 767 (2011)

    Article  Google Scholar 

  123. Kalisky, B., Kirtley, J.R., Analytis, J.G., Chu, J.-H., Vailionis, A., Fisher, I.R., Moler, K.A.: Stripes of increased diamagnetic susceptibility in underdoped superconducting Ba(Fe1−x Co x )2As2 single crystals: evidence for an enhanced superfluid density at twin boundaries. Phys. Rev. B 81, 184513 (2010)

    Article  ADS  Google Scholar 

  124. Smilde, H.J.H., Golubov, A.A., Ariando, Rijnders, G., Dekkers, J.M., Harkema, S., Blank, D.H.A., Rogalla, H., Hilgenkamp, H.: Admixtures to d-wave gap symmetry in untwinned YBaCuO superconducting films measured by angle-resolved electron tunneling. Phys. Rev. Lett. 95, 257001 (2005)

    Article  ADS  Google Scholar 

  125. Dekkers, J.M., Rijnders, G., Harkema, S., Smilde, H.J.H., Hilgenkamp, H., Rogalla, H., Blank, D.H.A.: Monocrystalline YBaCuO thin films on vicinal SrTiO (001) substrates. Appl. Phys. Lett. 83, 5199 (2003)

    Article  ADS  Google Scholar 

  126. Gustafsson, D., Golubev, D., Fogelstrom, M., Claeson, T., Bauch, T., Lombardi, F.: Fully gapped superconductivity in a nanometer size YBaCuO island enhanced by magnetic field. Unpublished (2012)

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

    Article  ADS  Google Scholar 

  128. Mannhart, J., Hilgenkamp, H., Mayer, B., Gerber, Ch., Kirtley, J.R., Moler, K.A., Sigrist, M.: Generation of magnetic flux by single grain boundaries of YBaCuO. Phys. Rev. Lett. 77, 2782 (1996)

    Article  ADS  Google Scholar 

  129. Hilgenkamp, H., Mannhart, J., Mayer, B.: 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 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  131. Tafuri, F., Kirtley, J.R., Lombardi, F., Miletto Granozio, F.: Intrinsic and extrinsic d-wave effects in YBaCuO grain boundary Josephson junctions: implications for π-circuitry. Phys. Rev. B 67, 174516 (2003)

    Article  ADS  Google Scholar 

  132. Mints, R.G., Papiashvili, I., Kirtley, J.R., Hilgenkamp, H., Hammerl, G., Mannhart, J.: Observation of splintered josephson vortices at grain boundaries in YBaCuO. Phys. Rev. Lett. 89, 067004 (2002)

    Article  ADS  Google Scholar 

  133. Mints, R.G., Papiashvili, I.: Josephson vortices with fractional flux quanta at YBa2Cu3O7−x grain boundaries. Phys. Rev. B 64, 134501 (2001)

    Article  ADS  Google Scholar 

  134. Amin, M.H.S., Omelyanchouk, A.N., Zagoskin, A.M.: Mechanisms of spontaneous current generation in an inhomogeneous d-wave superconductor. Phys. Rev. B 63, 212502 (2001)

    Article  ADS  Google Scholar 

  135. Amin, M.H.S., Rashkeev, S.N., Coury, M., Omelyanchouk, A.N., Zagoskin, A.M.: d+is versus d+id time reversal symmetry breaking states in finite size systems. Phys. Rev. B 66, 174515 (2002)

    Article  ADS  Google Scholar 

  136. Sigrist, M., Bailey, D.B., Laughlin, R.B.: Fractional vortices as evidence of time-reversal symmetry breaking in high-temperature superconductors. Phys. Rev. Lett. 74, 3249 (1995)

    Article  ADS  Google Scholar 

  137. Bailey, D.B., Sigrist, M., Laughlin, R.B.: Fractional vortices on grain boundaries: the case for broken time-reversal symmetry in high-temperature superconductors. Phys. Rev. B 55, 15239 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  139. Carmi, R., Polturak, E., Koren, G., Auerbach, A.: Spontaneous macroscopic magnetization at the superconducting transition temperature of YBaCuO7. Nature 404, 853 (2000)

    Article  ADS  Google Scholar 

  140. Tafuri, F., Kirtley, J.R.: Spontaneous magnetic moments in YBaCuO thin films. Phys. Rev. B 62, 13934 (2000)

    Article  ADS  Google Scholar 

  141. Kosterlitz, J.M., Thouless, D.J.: Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C 6, 1181 (1973)

    Article  ADS  Google Scholar 

  142. Kirtley, J.R., Tsuei, C.C., Tafuri, F.: Thermally activated spontaneous fluxoid formation in superconducting thin film rings. Phys. Rev. Lett. 90, 257001 (2003)

    Article  ADS  Google Scholar 

  143. Zasadzinski, J.: In: Bennemann, K.H., Ketterson, J.B. (eds.) The Physics of Superconductors, vol. I, p. 591. Springer, Berlin (2003)

    Chapter  Google Scholar 

  144. Covington, M., Aprili, M., Paraoanu, E., Greene, L.H., Xu, F., Zhu, J., Mirkin, C.A.: Observation of surface-induced broken time-reversal symmetry in YBaCuO tunnel junctions. Phys. Rev. Lett. 79, 277 (1997)

    Article  ADS  Google Scholar 

  145. Fogelstrom, M., Rainer, D., Sauls, J.A.: Tunneling into current-carrying surface states of high-T c superconductors. Phys. Rev. Lett. 79, 281 (1997)

    Article  ADS  Google Scholar 

  146. Aprili, M., Covington, M., Paraoanu, E., Niedermeier, B., Greene, L.H.: Tunneling spectroscopy of the quasiparticle Andreev bound state in ion-irradiated YBaCuO/Pb junctions. Phys. Rev. B 57, R8139 (1998)

    Article  ADS  Google Scholar 

  147. Tomaschko, J., Scharinger, S., Leca, V., Nagel, J., Kemmler, M., Selistrovski, T., Koelle, D., Kleiner, R.: Phase-sensitive evidence for \({d}_{x^{2}- y^{2}}\)-pairing symmetry in the parent-structure high-T c cuprate superconductor Sr1−x La x CuO2. Phys. Rev. B 86, 094509 (2012)

    Article  ADS  Google Scholar 

  148. Kramers, H.A.: Brownian motion in a field of force and the diffusion model of chemical reactions. Physica (Utrecht) 7, 284 (1940)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  149. Ivanchenko, Yu.M., Zilberman, L.A.: The Josephson effect on small size tunnel contacts. Zh. Èksp. Teor. Fiz. 55, 2396 (1968) [Sov. Phys. JETP 28, 1272 (1969)]

    Google Scholar 

  150. Voss, R.F., Webb, R.A.: Macroscopic quantum tunneling in 1-μm Nb Josephson junctions. Phys. Rev. Lett. 47, 265 (1981)

    Article  ADS  Google Scholar 

  151. Jackel, L.D., Gordon, J.P., Hu, E.L., Howard, R.E., Fetter, L.A., Tennant, D.M., Epworth, R.W., Kurkijarvi, J.: Decay of the zero-voltage state in small-area, high-current-density Josephson junctions. Phys. Rev. Lett. 47, 697 (1981)

    Article  ADS  Google Scholar 

  152. der Boer, W., de Bruyn Ouboter, R.: Flux transition mechanisms in superconducting loops closed with a low capacitance point contact. Physica B 98, 185 (1980)

    Article  Google Scholar 

  153. Bol, D.W., Scheffer, J.J.F., Giele, W., de Bruyn Ouboter, R.: Thermal activation in the quantum regime and macroscopic quantum tunnelling in the thermal regime in a metabistable system consisting of a superconducting ring interrupted by a weak junction, part I: thermal activation in the quantum regime. Physica B 113, 196 (1985)

    Google Scholar 

  154. Prance, R.J., Long, A.P., Clarke, T.D., Widom, A., Mutton, J.E., Sacco, J., Potts, M.W., Negaloudis, G., Goodall, F.: Macroscopic quantum electrodynamic effects in a superconducting ring containing a Josephson weak link. Nature 289, 543 (1981)

    Article  ADS  Google Scholar 

  155. Dimitrenko, I.M., Khlus, V.A., Tsoi, G.M., Shnyrkov, V.I.: Quantum decay of metastable current states in rf SQUIDs. Fiz. Nizk. Temp. 11, 146 (1985) [Sov. J. Low Temp. Phys. 11, 77 (1985)]

    Google Scholar 

  156. Washburn, S., Webb, R.A., Voss, R.F., Farris, S.M.: Effects of dissipation and temperature on macroscopic quantum tunneling. Phys. Rev. Lett. 54, 2712 (1985)

    Article  ADS  Google Scholar 

  157. Schartz, D.B., Sen, B., Archie, C.N., Lukens, J.E.: Quantitative study of the effect of the environment on macroscopic quantum tunneling. Phys. Rev. Lett. 55, 1547 (1985)

    Article  ADS  Google Scholar 

  158. Devoret, M.H., Martinis, J.M., Clarke, J.: Measurements of macroscopic quantum tunneling out of the zero-voltage state of a current-biased Josephson junction. Phys. Rev. Lett. 55, 1908 (1985)

    Article  ADS  Google Scholar 

  159. Martinis, J.M., Devoret, M.H., Clarke, J.: Experimental tests for the quantum behavior of a macroscopic degree of freedom: the phase difference across a Josephson junction. Phys. Rev. B 35, 4682 (1987)

    Article  ADS  Google Scholar 

  160. Martinis, J.M., Devoret, M.H., Clarke, J.: Energy-level quantization in the zero-voltage state of a current-biased Josephson junction. Phys. Rev. Lett. 55, 1543 (1985)

    Article  ADS  Google Scholar 

  161. Fulton, T.A., Dunkleberger, L.N.: Lifetime of the zero-voltage state in Josephson tunnel junctions. Phys. Rev. B 9, 4760 (1974)

    Article  ADS  Google Scholar 

  162. Kautz, R.L., Martinis, J.M.: Noise-affected I-V curves in small hysteretic Josephson junctions. Phys. Rev. B 42, 9903 (1990)

    Article  ADS  Google Scholar 

  163. Martinis, J.M., Kautz, R.L.: Classical phase diffusion in small hysteretic Josephson junctions. Phys. Rev. Lett. 63, 1507 (1989)

    Article  ADS  Google Scholar 

  164. Kivioja, J.M., Nieminen, T.E., Claudon, J., Buisson, O., Hekking, F.W.J., Pekola, J.P.: Observation of transition from escape dynamics to underdamped phase diffusion in a Josephson junction. Phys. Rev. Lett. 94, 247002 (2005)

    Article  ADS  Google Scholar 

  165. Männik, J., Li, S., Qiu, W., Chen, W., Patel, V., Han, S., Lukens, J.E.: Crossover from Kramers to phase-diffusion switching in moderately damped Josephson junctions. Phys. Rev. B 71, 220509 (2005)

    Article  Google Scholar 

  166. Fenton, J.C., Warburton, P.A.: Monte Carlo simulations of thermal fluctuations in moderately damped Josephson junctions: multiple escape and retrapping, switching- and return-current distributions, and hysteresis. Phys. Rev. B 78, 054526 (2008)

    Article  ADS  Google Scholar 

  167. Longobardi, L., Massarotti, D., Rotoli, G., Stornaiuolo, D., Papari, G., Kawakami, A., Pepe, G.P., Barone, A., Tafuri, F.: Quantum crossover in moderately damped epitaxial NbN/MgO/NbN junctions with low critical current density. Appl. Phys. Lett. 99, 062510 (2011)

    Article  Google Scholar 

  168. Longobardi, L., Massarotti, D., Rotoli, G., Stornaiuolo, D., Papari, G., Kawakami, A., Pepe, G.P., Barone, A., Tafuri, F.: Thermal hopping and retrapping of a Brownian particle in the tilted periodic potential of a NbN/MgO/NbN Josephson junction. Phys. Rev. B 84, 184504 (2011)

    Article  ADS  Google Scholar 

  169. Fominov, Y.V., Golubov, A.A., Kupriyanov, M.Y.: Decoherence due to nodal quasiparticles in d-wave qubits. JETP Lett. 77, 587 (2003)

    Article  ADS  Google Scholar 

  170. Amin, M.H.S., Smirnov, A.Y.: Quasiparticle decoherence in d-wave superconducting qubits. Phys. Rev. Lett. 92, 017001 (2004)

    Article  ADS  Google Scholar 

  171. Kawabata, S., Kashiwaya, S., Asano, Y., Tanaka, Y.: Macroscopic quantum tunneling and quasiparticle dissipation in d-wave superconductor Josephson junctions. Phys. Rev. B 70, 132505 (2004)

    Article  ADS  Google Scholar 

  172. Kawabata, S., Kashiwaya, S., Asano, Y., Tanaka, Y.: Effect of zero-energy bound states on macroscopic quantum tunneling in high-T c superconductor junctions. Phys. Rev. B 72, 052506 (2005)

    Article  ADS  Google Scholar 

  173. Yokoyama, T., Kawabata, S., Kato, T., Tanaka, Y.: Theory of macroscopic quantum tunneling in high-T c c-axis Josephson junctions. Phys. Rev. B 76, 134501 (2007)

    Article  ADS  Google Scholar 

  174. Rotoli, G., Bauch, T., Lindstrom, T., Stornaiuolo, D., Tafuri, F., Lombardi, F.: Classical resonant activation of a Josephson junction embedded in an LC circuit. Phys. Rev. B 75, 144501 (2007)

    Article  ADS  Google Scholar 

  175. Kawabata, S., Bauch, T., Kato, T.: Theory of two-dimensional macroscopic quantum tunneling in YBa2Cu3O7−x Josephson junctions coupled to an LC circuit. Phys. Rev. B 80, 174513 (2009)

    Article  ADS  Google Scholar 

  176. Claeson, T., Lombardi, F., Bauch, T., Lindström, T., Barone, P.D.A., Tafuri, F., Rotoli, G.: Macroscopic quantum phenomena in high critical temperature superconducting Josephson junctions. J. Supercond. Nov. Magn. 19, 341 (2006)

    Article  Google Scholar 

  177. Yu, H.F., Zhu, X.B., Peng, Z.H., Tian, Ye, Cui, D.J., Chen, G.H., Zheng, D.N., Jing, X.N., Lu, L., Zhao, S.P., Han, S.: Quantum phase diffusion in a small underdamped Josephson junction. Phys. Rev. Lett. 107, 067004 (2011)

    Article  ADS  Google Scholar 

  178. Yoon, Y., Gasparinetti, S., Mottonen, M., Pekola, J.P.: Capacitively enhanced thermal escape in underdamped Josephson junctions. J. Low Temp. Phys. 163, 164 (2011)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  180. Iansiti, M., Johnson, A., Smith, W.F., Rogalla, H., Lobb, C.J., Tinkham, M.: Charging energy and phase delocalization in single very small Josephson tunnel junctions. Phys. Rev. Lett. 59, 489 (1987)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  182. Inomata, K., Sato, S., Nakajima, K., Tanaka, A., Takano, Y., Wang, H.B., Nagao, M., Hatano, H., Kawabata, S.: Macroscopic quantum tunneling in a d-wave high-T c BiSrCaCuO superconductor. Phys. Rev. Lett. 95, 107005 (2005)

    Article  ADS  Google Scholar 

  183. Jin, X.Y., Lisenfeld, J., Koval, Y., Lukashenko, A., Ustinov, A.V., Mueller, P.: Enhanced macroscopic quantum tunneling in BiSrCaCuO intrinsic Josephson-junction stacks. Phys. Rev. Lett. 96, 177003 (2006)

    Article  ADS  Google Scholar 

  184. Tzalenchuk, A.Ya., Lindstrom, T., Charlebois, S.A., Stepantsov, E.A., Ivanov, Z., Zagoskin, A.M.: Mesoscopic Josephson junctions of high-T c superconductors. Phys. Rev. B 68, 100501 (2003)

    Article  ADS  Google Scholar 

  185. Testa, G., Monaco, A., Esposito, E., Sarnelli, E., Kang, D.J., Mennema, S.H., Tarte, E.J., Blamire, M.G.: Midgap state-based π-junctions for digital applications. Appl. Phys. Lett. 85, 1202 (2004)

    Article  ADS  Google Scholar 

  186. Testa, G., Sarnelli, E., Monaco, A., Esposito, E., Ejrnaes, M., Kang, D.J., Mennema, S.H., Tarte, E.J., Blamire, M.G.: Evidence of midgap-state-mediated transport in 45° symmetric[001]tiltYBa2Cu3O7−x bicrystal grain-boundary junctions. Phys. Rev. B 71, 134520 (2005)

    Article  ADS  Google Scholar 

  187. Stornaiuolo, D., Gambale, E., Bauch, T., Born, D., Cedergren, K., Dalena, D., Barone, A., Tagliacozzo, A., Lombardi, F., Tafuri, F.: Underlying physical aspects of fluctuations in YBaCuO grain boundary Josephson junctions. Physica C 468, 310 (2008)

    Article  ADS  Google Scholar 

  188. Tagliacozzo, A., Born, D., Stornaiuolo, D., Gambale, E., Dalena, D., Lombardi, F., Barone, A., Altshuler, B.L., Tafuri, F.: Observation of mesoscopic conductance fluctuations in YBaCuO grain boundary Josephson junctions. Phys. Rev. B 75, 012507 (2007)

    Article  ADS  Google Scholar 

  189. Tagliacozzo, A., Tafuri, F., Gambale, E., Jouault, B., Born, D., Lucignano, P., Stornaiuolo, D., Lombardi, F., Barone, A., Altshuler, B.L.: Mesoscopic conductance fluctuations in YBCO grain boundary junction at low temperature. Phys. Rev. B 79, 024501 (2009)

    Article  ADS  Google Scholar 

  190. Lucignano, P., Stornaiuolo, D., Tafuri, F., Altshuler, B.L., Tagliacozzo, A.: Evidence of minigap in YBCO grain boundary Josephson junctions. Phys. Rev. Lett. 105, 147001 (2010)

    Article  ADS  Google Scholar 

  191. Lee, P.A., Ramakrishnan, T.V.: Disordered electronic systems. Rev. Mod. Phys. 57, 287 (1985)

    Article  ADS  Google Scholar 

  192. Lee, P.A., Stone, A.D.: Universal conductance fluctuations in metals. Phys. Rev. Lett. 55, 1622 (1985)

    Article  ADS  Google Scholar 

  193. Lee, P.A., Stone, A.D., Fukuyama, H.: Universal conductance fluctuations in metals: effects of finite temperature, interactions, and magnetic field. Phys. Rev. B 35, 1039 (1987)

    Article  ADS  Google Scholar 

  194. Altshuler, B.L., Lee, P.: Disordered electronic systems. Phys. Today 41(12), 36 (1988)

    Article  ADS  Google Scholar 

  195. Webb, R.A., Washburn, S.: Quantum interference fluctuations in disordered metals. Phys. Today 41(12), 46 (1988)

    Article  ADS  Google Scholar 

  196. Imry, Y.: Introduction to Mesoscopic Physics. Oxford University Press, Oxford (1997)

    Google Scholar 

  197. Gedik, N., Orenstein, J., Liang, R., Bonn, D.A., Hardy, W.N.: Diffusion of nonequilibrium quasi-particles in a cuprate superconductor. Science 300, 1410 (2003)

    Article  ADS  Google Scholar 

  198. Wang, J., Shi, C., Tian, M., Zhang, Q., Kumar, N., Jain, J.K., Mallouk, T.E., Chan, M.H.W.: Proximity-induced superconductivity in nanowires: minigap state and differential magnetoresistance oscillations. Phys. Rev. Lett. 102, 247003 (2009)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  200. Gross, R., Mayer, B.: Transport processes and noise in YBaCuO grain boundary junctions. Physica C 180, 235 (1991)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  202. Sarnelli, E., Testa, G., Esposito, E.: A two channel model as a possible microscopic configuration of the “barrier” in high T c grain boundary junctions. J. Supercond. 7, 387 (1994)

    Article  ADS  Google Scholar 

  203. Kalisky, B., Kirtley, J.R., Nowadnick, E.A., Dinner, R.B., Zeldov, E., Ariando, Wenderich, S., Hilgenkamp, H., Feldmann, D.M., Moler, K.A.: Dynamics of single vortices in grain boundaries: I–V characteristics on the fermo-volt scale. Appl. Phys. Lett. 94, 202504 (2009)

    Article  ADS  Google Scholar 

  204. Gustafsson, D., Pettersson, H., Iandolo, B., Olsson, E., Bauch, T., Lombardi, F.: Soft nanostructuring of YBCO Josephson junctions by phase separation. Nano Lett. 10, 4824 (2010)

    Article  ADS  Google Scholar 

  205. Nagel, J., Konovalenko, K.B., Kemmler, M., Turad, M., Werner, R., Kleisz, E., Menzel, S., Klingeler, R., Buchner, B., Kleiner, R., Koelle, D.: Resistively shunted YBCO grain boundary junctions and low-noise SQUIDs patterned by a focused ion beam down to 80 nm linewidth. Supercond. Sci. Technol. 24, 015015 (2011)

    Article  ADS  Google Scholar 

  206. Foley, C.P., Hilgenkamp, H.: Why nanoSQUIDs are important: an introduction to the focus issue. Supercond. Sci. Technol. 22, 064001 (2009)

    Article  ADS  Google Scholar 

  207. Zaanen, J., Gunnarsson, O.: Charged magnetic domain lines and the magnetism of high-T c oxides. Phys. Rev. B 40, 7391 (1989)

    Article  ADS  Google Scholar 

  208. Tranquada, J.M., Buttrey, D.J., Sachan, V., Lorenzo, J.E.: Simultaneous ordering of holes and spins in La2NiO4.125. Phys. Rev. Lett. 73, 1003 (1994)

    Article  ADS  Google Scholar 

  209. Kivelson, S.A., Bindloss, I.P., Fradkin, E., Oganesyan, V., Tranquada, J.M., Kapitulnik, A., Howald, C.: How to detect fluctuating stripes in the high-temperature superconductors. Rev. Mod. Phys. 75, 1201 (2003)

    Article  ADS  Google Scholar 

  210. Graser, S., Hirschfeld, P.J., Kopp, T., Gutser, R., Andersen, B.M., Mannhart, J.: How grain boundaries limit supercurrents in high-temperature superconductors. Nat. Phys. 6, 609 (2010)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  212. Papari, G., Carillo, F., Born, D., Bartoloni, L., Gambale, E., Stornaiuolo, D., Pingue, P., Beltram, F., Tafuri, F.: YBCO nanobridges: simplified fabrication process by using a Ti hard mask. IEEE Trans. Appl. Supercond. 19, 183 (2009)

    Article  ADS  Google Scholar 

  213. Xu, K., Heath, J.R.: Long, highly-ordered high-temperature superconductor nanowire arrays. Nano Lett. 8, 3845 (2008)

    Article  ADS  Google Scholar 

  214. Larsson, P., Nilsson, B., Ivanov, Z.G.: Fabrication and transport measurements of YBaCuO nanostructures. J. Vac. Sci. Technol. 18, 25 (2000)

    Article  Google Scholar 

  215. Schneider, J., Kohlstedt, H., Wordenweber, R.: Nanobridges of optimized YBa2Cu3O7 thin films for superconducting flux-flow type devices. Appl. Phys. Lett. 63, 2426 (1993)

    Article  ADS  Google Scholar 

  216. Assink, H.P., v.d. Harg, A.J.M., Schep, C.M., Chen, N.Y., v.d. Marel, D., Hadley, P., v.d. Drift, E.W.J.M., Mooij, J.E.: Critical currents in submicron YBa2Cu3O7 lines. IEEE Trans. Appl. Supercond. 3, 2983 (1993)

    Article  Google Scholar 

  217. Mohanty, P., Wei, J.Y.T., Ananth, V., Morales, P., Skocpol, W.: Nanoscale high-temperature superconductivity. Physica C 666, 408 (2004)

    Google Scholar 

  218. Bonetti, J.A., Caplan, D.S., Van Harlingen, D.J., Weissman, B.: Electronic transport in underdoped YBa2Cu3O7−δ nanowires: evidence for fluctuating domain structures. Phys. Rev. Lett. 93, 87002 (2004)

    Article  ADS  Google Scholar 

  219. Herbstritt, F., Kemen, T., Marx, A., Gross, R.: Ultraviolet light assisted oxygenation process for submicron YBa2Cu3O7−δ thin film devices. J. Appl. Phys. 91, 5411 (2002)

    Article  ADS  Google Scholar 

  220. Carillo, F., Papari, G., Stornaiuolo, D., Born, D., Montemurro, D., Pingue, P., Beltram, F., Tafuri, F.: Little–Parks effect in single nanoscale YBaCuO rings. Phys. Rev. B 81, 054505 (2010)

    Article  ADS  Google Scholar 

  221. Sochnikov, I., Shaulov, A., Yeshurun, Y., Logvenov, G., Bozovic, I.: Large oscillations of the magnetoresistance in nanopatterned high-temperature superconducting films. Nat. Nanotechnol. 5, 516 (2010)

    Article  ADS  Google Scholar 

  222. Sochnikov, I., Bozovic, I., Shaulov, A., Yeshurun, Y.: Uncorrelated behavior of fluxoids in superconducting double networks. Phys. Rev. B 84, 094530 (2011)

    Article  ADS  Google Scholar 

  223. Loder, F., Kampf, A.P., Kopp, T., Mannhart, J., Schneider, C.W., Barash, Y.S.: Magnetic flux periodicity of h/e in superconducting loops. Nat. Phys. 4, 112 (2008)

    Article  Google Scholar 

  224. Loder, F., Kampf, A.P., Kopp, T.: Crossover from hc/e to hc/2e current oscillations in rings of s-wave superconductors. Phys. Rev. B 78, 174526 (2008)

    Article  ADS  Google Scholar 

  225. Barash, Y.S.: Low-energy subgap states and the magnetic flux periodicity in d-wave superconducting rings. Phys. Rev. Lett. 100, 177003 (2008)

    Article  ADS  Google Scholar 

  226. Vakaryuk, V.: Universal mechanism for breaking the hc/2e periodicity of flux-induced oscillations in small superconducting rings. Phys. Rev. Lett. 101, 167002 (2008)

    Article  ADS  Google Scholar 

  227. Juricic, V., Herbut, I.F., Tesanovic, Z.: Restoration of the magnetic hc/e-periodicity in unconventional superconductors. Phys. Rev. Lett. 100, 187006 (2008)

    Article  ADS  Google Scholar 

  228. Loder, F., Kampf, A.P., Kopp, T., Mannhart, J.: Flux periodicities in loops of nodal superconductors. New J. Phys. 11, 075005 (2009)

    Article  ADS  Google Scholar 

  229. Berdiyorov, G.R., Milosevic, M.V., Latimer, M.L., Xiao, Z.L., Kwok, W.K., Peeters, F.M.: Large magnetoresistance oscillations in mesoscopic superconductors due to current-excited moving vortices. Phys. Rev. Lett. 109, 057004 (2012)

    Article  ADS  Google Scholar 

  230. Fomin, V.M., Rezaev, R.O., Schmid, O.G.: Tunable generation of correlated vortices in open superconductor tubes. Nano Lett. 12, 1282 (2012)

    Article  ADS  Google Scholar 

  231. Ribeiro Gomes, R., de Oliveira, I.G., Doria, M.M.: Little–Parks oscillations near a persistent current loop. Phys. Rev. B 85, 144512 (2012)

    Article  ADS  Google Scholar 

  232. Liu, F.Y., Haviland, D.B., Glazman, L.I., Goldman, A.M.: Resistive transitions in ultrathin superconducting films: possible evidence for quantum tunneling of vortices. Phys. Rev. Lett. 68, 2224 (1992)

    Article  ADS  Google Scholar 

  233. Yazdani, A., Kapitulnik, A., Beasley, M.R.: Observation of quantum dissipation in the vortex state of a highly disordered superconducting thin film. Phys. Rev. Lett. 76, 1529 (1995)

    Google Scholar 

  234. Tafuri, Kirtley, J.R., Born, D., Stornaiuolo, D., Medaglia, P.G., Orgiani, P., Balestrino, G., Kogan, V.G.: Dissipation in ultra-thin current-carrying superconducting bridges evidence for quantum tunneling of pearl vortices. Europhys. Lett. 73, 948 (2006)

    Article  ADS  Google Scholar 

  235. Glazman, L.I., Fogel, N.Ya.: Possibility of quantum tunneling of vortices in thin superconducting films. Sov. J. Low Temp. Phys. 10, 51 (1984) [Fiz. Nizk. Temp. 10, 94 (1984)]

    Google Scholar 

  236. Montemurro, D., Roddaro, S., Massarotti, D., Sorba, L., Beltram, F., Tafuri, F.: MIUR Prin-project “Nanowire high critical temperature superconductor field-effect devices (2011–2013)”. Unpublished (2012)

  237. Ahn, C.H., Bhattacharya, A., Di Ventra, M., Eckstein, J.N., Frisbie, C.D., Gershenson, M.E., Goldman, A.M., Inoue, I.H., Mannhart, J., Millis, A.J., Morpurgo, A.F., Natelson, D., Triscone, J.-M.: Electrostatic modification of novel materials. Rev. Mod. Phys. 78, 1185 (2006)

    Article  ADS  Google Scholar 

  238. Salluzzo, M., Ghiringhelli, G., Cezar, J.C., Brookes, N.B., De Luca, G.M., Fracassi, F., Vaglio, R.: Indirect electric field doping of the CuO2 planes of the cuprate NdBa2Cu3O7 superconductor. Phys. Rev. Lett. 100, 056810 (2008)

    Article  ADS  Google Scholar 

  239. Mannhart, J.: High-T c transistors. Supercond. Sci. Technol. 9, 49 (1996)

    Article  ADS  Google Scholar 

  240. Mourik, V., Zuo, K., Frolov, S., Plissard, S., Bakkers, E., Kouwenhoven, L.: Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices. Science 336, 1003 (2012)

    Article  ADS  Google Scholar 

  241. Ovchinnikov, Y.N., Kresin, V.Z.: Theoretical investigation of Josephson tunneling between nanoclusters. Phys. Rev. B 61, 2145050 (2010)

    Google Scholar 

  242. Kresin, V.Z., Wolf, S.A.: Electron-lattice interaction and its impact on high-T C superconductivity. Rev. Mod. Phys. 81, 481 (2009)

    Article  ADS  Google Scholar 

  243. Lee, G.-H., Jeong, D., Choi, J.-H., Doh, Y.-J., Lee, H.-J.: Electrically tunable macroscopic quantum tunneling in a graphene-based Josephson junction. Phys. Rev. Lett. 107, 146605 (2011)

    Article  ADS  Google Scholar 

  244. Jeong, D., Choi, J.-H., Lee, G.-H., Jo, S., Doh, Y.-J., Lee, H.-J.: Observation of supercurrent in PbIn–graphene–PbIn Josephson junction. Phys. Rev. B 83, 094503 (2011)

    Article  ADS  Google Scholar 

  245. Ojeda-Aristizabal, C., Ferrier, M., Gueron, S., Bouchiat, H.: Tuning the proximity effect in a superconductor–graphene–superconductor junction. Phys. Rev. B 79, 165436 (2009)

    Article  ADS  Google Scholar 

  246. Borzenets, I.V., Coskun, U.C., Jones, S.J., Finkelstein, G.: Phase diffusion in graphene-based Josephson junctions. Phys. Rev. Lett. 107, 137005 (2011)

    Article  ADS  Google Scholar 

  247. Doh, Y.J., van Dam, J.A., Roest, A.L., Bakkers, E.P.A.M., Kouwenhoven, L.P., De Franceschi, S.: Tunable supercurrent through semiconductor nanowires. Science 309, 272 (2005)

    Article  ADS  Google Scholar 

  248. Xiang, J., Vidan, A., Tinkham, M., Westervelt, R.M., Lieber, C.M.: Ge/Si nanowire mesoscopic Josephson junctions. Nat. Nanotechnol. 1, 208 (2006)

    Article  ADS  Google Scholar 

  249. Jarillo-Herrero, P., van Dam, J.A., Kouwenhoven, L.P.: Quantum supercurrent transistors in carbon nanotubes. Nature 439, 953 (2006)

    Article  ADS  Google Scholar 

  250. Cleuziou, W., Wernsdorfer, J.P., Bouchiat, V., Ondarcuhu, T., Monthioux, M.: Carbon nanotube superconducting quantum interference device. Nat. Nanotechnol. 1, 53 (2006)

    Article  ADS  Google Scholar 

  251. Katsaros, G., Spathis, P., Stoffel, M., Fournel, F., Mongillo, M., Bouchiat, V., Lefloch, F., Rastelli, A., Schmidt, O.G., De Franceschi, S.: Hybrid superconductor, a semiconductor devices made from self-assembled SiGe nanocrystals on silicon. Nat. Nanotechnol. 5, 458 (2010)

    Article  ADS  Google Scholar 

  252. Courtois, H., Meschke, M., Peltonen, J.T., Pekola, J.P.: Origin of hysteresis in a proximity Josephson junction. Phys. Rev. Lett. 101, 067002 (2008)

    Article  ADS  Google Scholar 

  253. Angers, L., Chiodi, F., Montambaux, G., Ferrier, M., Gureron, S., Bouchiat, H., Cuevas, J.C.: Proximity dc squids in the long-junction limit. Phys. Rev. B 77, 165408 (2008)

    Article  ADS  Google Scholar 

  254. Sahu, M., Bae, M.H., Rogachev, A., Pekker, D., Wei, T.C., Shah, N., Goldbart, P.M., Bezryadin, A.: Individual topological tunnelling events of a quantum field probed through their macroscopic consequences. Nat. Phys. 5, 503 (2009)

    Article  Google Scholar 

  255. Li, P., Wu, P.M., Bomze, Y., Borzenets, I.V., Finkelstein, G., Chang, A.M.: Switching currents limited by single phase slips in one-dimensional superconducting al nanowires. Phys. Rev. Lett. 107, 137004 (2011)

    Article  ADS  Google Scholar 

  256. Li, P., Wu, P.M., Bomze, Y., Borzenets, I.V., Finkelstein, G., Chang, A.M.: Retrapping current, self-heating, and hysteretic current–voltage characteristics in ultranarrow superconducting aluminum nanowires. Phys. Rev. B 84, 184508 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  258. Shah, N., Pekker, D., Goldbart, P.M.: Inherent stochasticity of superconductor–resistor switching behavior in nanowires. Phys. Rev. Lett. 101, 207001 (2008)

    Article  ADS  Google Scholar 

  259. Little, W.A.: Decay of persistent currents in small superconductors. Phys. Rev. 156, 396 (1967)

    Article  ADS  Google Scholar 

  260. Langer, J.S., Ambegaokar, V.: Intrinsic resistive transition in narrow superconducting channels. Phys. Rev. 164, 498 (1967)

    Article  ADS  Google Scholar 

  261. McCumber, D.E., Halperin, B.I.: Time scale of intrinsic resistive fluctuations in thin superconducting wires. Phys. Rev. B 1, 1054 (1970)

    Article  ADS  Google Scholar 

  262. Giordano, N.: Evidence for macroscopic quantum tunneling in one-dimensional superconductors. Phys. Rev. Lett. 61, 2137 (1988)

    Article  ADS  Google Scholar 

  263. Bezryadin, A., Lau, C.N., Tinkham, M.: Quantum suppression of superconductivity in ultrathin nanowires. Nature 404, 971 (2000)

    Article  ADS  Google Scholar 

  264. Lau, C.N., Markovic, N., Bockrath, M., Bezryadin, A., Tinkham, M.: Quantum phase slips in superconducting nanowires. Phys. Rev. Lett. 87, 217003 (2001)

    Article  ADS  Google Scholar 

  265. Rogachev, A., Bollinger, A.T., Bezryadin, A.: Influence of high magnetic fields on the superconducting transition of one-dimensional Nb and MoGe nanowires. Phys. Rev. Lett. 94, 017004 (2005)

    Article  ADS  Google Scholar 

  266. Altomare, F., Chang, A.M., Melloch, M.R., Hong, Y., Tu, C.W.: Evidence for macroscopic quantum tunneling of phase slips in long one-dimensional superconducting Al wires. Phys. Rev. Lett. 97, 017001 (2006)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

Special thanks to John Kirtley for sharing so many common interests in several experiments reviewed in this manuscript. We would also like to thank Thilo Bauch and Chang Tsuei for valuable discussions on the topics of this contribution. This work is supported by MIUR PRIN 2009 under the project SuFET based on nanowires and HTS. We also acknowledge partial support by STREP Macroscopic Interference Devices for atomic and Solid State Physics: Quantum Control of Supercurrents and by a Marie Curie International Reintegration Grant No. 248933 hybMQC within the 7th European Community Framework Programme.

Author information

Authors and Affiliations

  1. Dip. di Ingegneria dell’Informazione, Seconda Università degli Studi di Napoli, via Roma 29, 81031, Aversa (Ce), Italy

    Francesco Tafuri, Luigi Longobardi & Giacomo Rotoli

  2. CNR-SPIN, Complesso Universitario di Monte S. Angelo, 80126, Napoli, Italy

    Francesco Tafuri, Davide Massarotti, Luca Galletti, Daniela Stornaiuolo, Giovanni Piero Pepe & Arturo Tagliacozzo

  3. Dip. Scienze Fisiche, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, 80126, Napoli, Italy

    Davide Massarotti, Luca Galletti, Daniela Stornaiuolo, Procolo Lucignano, Giovanni Piero Pepe & Arturo Tagliacozzo

  4. NEST-Scuola Normale Superiore and Istituto Nanoscienze–CNR, Piazza San Silvestro 12, 56127, Pisa, Italy

    Domenico Montemurro

  5. CNR-ISC, via Fosso del Cavaliere 100, 00133, Roma, Italy

    Procolo Lucignano

  6. Dept. of Microtechnology and Nanoscience, Chalmers University of Technology, 41296, Göteborg, Sweden

    Floriana Lombardi

Authors
  1. Francesco Tafuri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Davide Massarotti
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Luca Galletti
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Daniela Stornaiuolo
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Domenico Montemurro
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Luigi Longobardi
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Procolo Lucignano
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Giacomo Rotoli
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. Giovanni Piero Pepe
    View author publications

    You can also search for this author in PubMed Google Scholar

  10. Arturo Tagliacozzo
    View author publications

    You can also search for this author in PubMed Google Scholar

  11. Floriana Lombardi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francesco Tafuri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tafuri, F., Massarotti, D., Galletti, L. et al. Recent Achievements on the Physics of High-T C Superconductor Josephson Junctions: Background, Perspectives and Inspiration. J Supercond Nov Magn 26, 21–41 (2013). https://doi.org/10.1007/s10948-012-1773-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-012-1773-0

Keywords

Search

Navigation