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Three-terminal normal-superconductor junction as thermal transistor

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Abstract

We propose a thermal transistor based on a three-terminal normal-superconductor junction with superconductor terminal acting as the base. The emergence of heat amplification is due to the negative differential thermal conductance (NDTC) effect for the NS diode in which the normal side maintains a higher temperature. The temperature dependent superconducting energy gap is responsible for the NDTC. By controlling quantum dot levels and their coupling strengths to the terminals, a huge heat amplification factor can be achieved. The setup offers an alternative tuning scheme of heat amplification factor and may find use in cryogenic applications.

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References

  1. N. Li, J. Ren, L. Wang, G. Zhang, P. Häggi, B. Li, Rev. Mod. Phys. 84, 1045 (2012)

    Article  ADS  Google Scholar 

  2. G.E.W. Bauer, E. Saitoh, B.J. van Wees, Nat. Mater. 11, 391 (2012)

    Article  ADS  Google Scholar 

  3. A. Volokitin, B. Persson, Rev. Mod. Phys. 79, 1291 (2007)

    Article  ADS  Google Scholar 

  4. G. Tang, H.H. Yap, J. Ren, J.-S. Wang, https://doi.org/arXiv:1809.08829

  5. B. Sothmann, R. Sánchez, A.N. Jordan, Nanotechnology 26, 032001 (2015)

    Article  ADS  Google Scholar 

  6. J.T. Muhonen, M. Meschke, J.P. Pekola, Rep. Prog. Phys. 75, 046501 (2012)

    Article  ADS  Google Scholar 

  7. Ch. Grenier, A. Georges, C. Kollath, Phys. Rev. Lett. 113, 200601 (2014)

    Article  ADS  Google Scholar 

  8. P. Solinas, R. Bosisio, F. Giazotto, Phys. Rev. B 93, 224521 (2016)

    Article  ADS  Google Scholar 

  9. R. Sánchez, P. Burset, A.L. Yeyati, https://doi.org/arXiv:1806.04035

  10. J. Fischer, J. Ulrich, Nat. Phys. 12, 4 (2016)

    Article  Google Scholar 

  11. M.R. Moldover, W.L. Tew, H.W. Yoon, Nat. Phys. 12, 7 (2016)

    Article  Google Scholar 

  12. B. Karimi, J.P. Pekola, Phys. Rev. Appl. 10, 054048 (2018)

    Article  ADS  Google Scholar 

  13. W.A. Challener, C. Peng, A.V. Itagi, D. Karns, W. Peng, Y. Peng, X. Yang, X. Zhu, N.J. Gokemeijer, Y.-T. Hsia, G. Ju, R.E. Rottmayer, M.A. Seigler, E.C. Gage, Nat. Photon. 3, 220 (2009)

    Article  ADS  Google Scholar 

  14. C.W. Chang, D. Okawa, A. Majumdar, A. Zettl, Science 314, 1121 (2006)

    Article  ADS  Google Scholar 

  15. R. Scheibner, M. König, D. Reuter, A.D. Wieck, C. Gould, H. Buhmann, L.W. Molenkamp, New J. Phys. 10, 083016 (2008)

    Article  ADS  Google Scholar 

  16. J. Ren, Phys. Rev. B 88, 220406(R) (2013)

    Article  ADS  Google Scholar 

  17. Z. Chen, C. Wong, S. Lubner, S. Yee, J. Miller, W. Jang, C. Hardin, A. Fong, J.E. Garay, C. Dames, Nat. Commun. 5, 5446 (2014)

    Article  ADS  Google Scholar 

  18. J. Ren, J.-X. Zhu, Phys. Rev. B 89, 064512 (2014)

    Article  ADS  Google Scholar 

  19. M.J. Martínez-Pérez, A. Fornieri, F. Giazotto, Nat. Nanotechnol. 10, 303 (2015)

    Article  ADS  Google Scholar 

  20. X. Cartoixà, L. Colombo, R. Rurali, Nano Lett. 15, 8255 (2015)

    Article  ADS  Google Scholar 

  21. G. Tang, X. Chen, J. Ren, J. Wang, Phys. Rev. B 97, 081407(R) (2018)

    Article  ADS  Google Scholar 

  22. G. Tang, L. Zhang, J. Wang, Phys. Rev. B 97, 224311 (2018)

    Article  ADS  Google Scholar 

  23. B. Li, L. Wang, G. Casati, Appl. Phys. Lett. 88, 143501 (2006)

    Article  ADS  Google Scholar 

  24. W.C. Lo, L. Wang, B. Li, J. Phys. Soc. Jpn. 77, 054402 (2008)

    Article  ADS  Google Scholar 

  25. T.S. Komatsu, N. Ito, Phys. Rev. E 83, 012104 (2011)

    Article  ADS  Google Scholar 

  26. S.R. Sklan, J.C. Grossman, New J. Phys. 16, 053029 (2014)

    Article  ADS  Google Scholar 

  27. P. Ben-Abdallah, S.-A. Biehs, Phys. Rev. Lett. 112, 044301 (2014)

    Article  ADS  Google Scholar 

  28. K. Joulain, Y. Ezzahri, J. Drevillon, P. Ben-Abdallah, Appl. Phys. Lett. 106, 133505 (2015)

    Article  ADS  Google Scholar 

  29. J. Ordonez-Miranda, Y. Ezzahri, J. Drevillon, K. Joulain, Phys. Rev. Appl. 6, 054003 (2016)

    Article  ADS  Google Scholar 

  30. K. Joulain, J. Drevillon, Y. Ezzahri, J. Ordonez-Miranda, Phys. Rev. Lett. 116, 200601 (2016)

    Article  ADS  Google Scholar 

  31. A. Fornieri, G. Timossi, R. Bosisio, P. Solinas, F. Giazotto, Phys. Rev. B 93, 134508 (2016)

    Article  ADS  Google Scholar 

  32. R. Sánchez, H. Thierschmann, L.W. Molenkamp, Phys. Rev. B 95, 241401(R) (2017)

    Article  ADS  Google Scholar 

  33. Y. Zhang, Z. Yang, X. Zhang, B. Lin, G. Lin, J. Chen, Europhys. Lett. 122, 17002 (2018)

    Article  ADS  Google Scholar 

  34. C. Wang, X.-M. Chen, K.-W. Sun, J. Ren, Phys. Rev. A 97, 052112 (2018)

    Article  ADS  Google Scholar 

  35. J. Lu, R. Wang, J. Ren, M. Kulkarni, J.-H. Jiang, https://doi.org/arXiv:1807.08152

  36. J. Bardeen, W.H. Brattain, Phys. Rev. 74, 230 (1948)

    Article  ADS  Google Scholar 

  37. W. Shockley, Bell Syst. Tech. J. 28, 435 (1949)

    Article  Google Scholar 

  38. D.H. He, S. Buyukdagli, B. Hu, Phys. Rev. B 80, 104302 (2009)

    Article  ADS  Google Scholar 

  39. D.H. He, B.Q. Ai, H.K. Chan, B. Hu, Phys. Rev. E 81, 041131 (2010)

    Article  ADS  Google Scholar 

  40. H.K. Chan, D.H. He, B. Hu, Phys. Rev. E 89, 052126 (2014)

    Article  ADS  Google Scholar 

  41. F. Giazotto, M.J. Martínez-Pérez, Nature (London) 492, 401 (2012)

    Article  ADS  Google Scholar 

  42. A. Fornieri, C. Blanc, R. Bosisio, S. D’Ambrosio, F. Giazotto, Nat. Nanotechnol. 11, 258 (2016)

    Article  ADS  Google Scholar 

  43. J. Linder, M.E. Bathen, Phys. Rev. B 93, 224509 (2016)

    Article  ADS  Google Scholar 

  44. G.F. Timossi, A. Fornieri, F. Paolucci, C. Puglia, F. Giazotto, Nano Lett. 18, 1764 (2018)

    Article  ADS  Google Scholar 

  45. C. Guarcello, P. Solinas, A. Braggio, M. Di Ventra, F. Giazotto, Phys. Rev. Appl. 9, 014021 (2018)

    Article  ADS  Google Scholar 

  46. J. Ren, J.-X. Zhu, Phys. Rev. B 87, 165121 (2013)

    Article  ADS  Google Scholar 

  47. X. Zhou, Z. Zhang, J. Appl. Phys. 119, 175107 (2016)

    Article  ADS  Google Scholar 

  48. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)

    Article  MathSciNet  ADS  Google Scholar 

  49. F. Gross, B.S. Chandrasekhar, D. Einzel, K. Andres, P.J. Hirschfeld, H.R. Ott, J. Beuers, Z. Fisk, J.L. Smith, Z. Phys. B 64, 175 (1986)

    Article  ADS  Google Scholar 

  50. Q.F. Sun, J. Wang, T.H. Lin, Phys. Rev. B 59, 3831 (1999)

    Article  ADS  Google Scholar 

  51. A. Martin-Rodero, A.L. Yeyati, Adv. Phys. 60, 899 (2011)

    Article  ADS  Google Scholar 

  52. R.C. Dynes, V. Narayanamurti, J.P. Garno, Phys. Rev. Lett. 41, 1509 (1978)

    Article  ADS  Google Scholar 

  53. P. Burset, W.J. Herrera, A.L. Yeyati, Phys. Rev. B 84, 115448 (2011)

    Article  ADS  Google Scholar 

  54. J. Tao, R.P. Prasankumar, E.E.M. Chia, A.J. Taylor, J.-X. Zhu, Phys. Rev. B 85, 144302 (2012)

    Article  ADS  Google Scholar 

  55. P. Recher, E.V. Sukhorukov, D. Loss, Phys. Rev. B 63, 165314 (2001)

    Article  ADS  Google Scholar 

  56. L. Hofstetter, S. Csonka, J. Nygård, C. Schönenberger, Nature (London) 461, 960 (2009)

    Article  ADS  Google Scholar 

  57. A. Das, Y. Ronen, M. Heiblum, D. Mahalu, A.V. Kretinin, H. Shtrikman, Nat. Commun. 3, 1165 (2012)

    Article  ADS  Google Scholar 

  58. G. Fülöp, S. d’Hollosy, A. Baumgartner, P. Makk, V.A. Guzenko, M.H. Madsen, J. Nygård, C. Schönenberger, S. Csonka, Phys. Rev. B 90, 235412 (2014)

    Article  ADS  Google Scholar 

  59. G. Fülöp, F. Domínguez, S. d’Hollosy, A. Baumgartner, P. Makk, M.H. Madsen, V.A. Guzenko, J. Nygård, C. Schönenberger, A. Levy Yeyati, S. Csonka, Phys. Rev. Lett. 115, 227003 (2015)

    Article  ADS  Google Scholar 

  60. F. Domínguez, A.L. Yeyati, Physica E 75, 322 (2016)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, National University of Singapore, Singapore, 117551, Republic of Singapore

    Gaomin Tang & Jian-Sheng Wang

  2. Center for Phononics and Thermal Energy Science, China-EU Joint Center for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, 200092, Shanghai, P.R. China

    Jiebin Peng

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  1. Gaomin Tang
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Correspondence to Gaomin Tang.

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Tang, G., Peng, J. & Wang, JS. Three-terminal normal-superconductor junction as thermal transistor. Eur. Phys. J. B 92, 27 (2019). https://doi.org/10.1140/epjb/e2019-90747-0

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