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Theory of disordered unconventional superconductors

  • Special issue in honor of A.F. Andreev’s 75th birthday Issue Editor: I.A. Fomin
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Abstract

In contrast to conventional s-wave superconductivity, unconventional (e.g., p- or d-wave) superconductivity is strongly suppressed even by relatively weak disorder. Upon approaching the superconductormetal transition, the order parameter amplitude becomes increasingly inhomogeneous, leading to effective granularity and a phase ordering transition described by the Mattis model of spin glasses. One consequence of this is that at sufficiently low temperatures, between the clean unconventional superconducting and the diffusive metallic phases, there is necessarily an intermediate superconducting phase that exhibits s-wave symmetry on macroscopic scales.

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References

  1. G. E. Volovik and L. P. Gor’kov, JETP Lett. 39, 674 (1984).

    ADS  Google Scholar 

  2. M. Sigrist and K. Ueda, Rev. Mod. Phys. 63, 239 (1991).

    Article  ADS  Google Scholar 

  3. V. P. Mineev and K. V. Samokhin, Introduction to Unconventional Superconductivity (Gordon and Breach, Amsterdam, The Netherlands, 1999).

    Google Scholar 

  4. C. C. Tsuei and J. R. Kirtley, Rev. Mod. Phys. 72, 969 (2000).

    Article  ADS  Google Scholar 

  5. A. P. Mackenzie and Y. Maeno, Rev. Mod. Phys. 75, 657 (2003).

    Article  ADS  Google Scholar 

  6. K. D. Nelson, Z. Q. Mao, Y. Maeno, and Y. Liu, Science (Washington) 306, 1151 (2004).

    Article  ADS  Google Scholar 

  7. F. Kidwingira, J. D. Strand, D. J. Van Harlingen, and Y. Maeno, Science (Washington) 314, 1267 (2006).

    Article  ADS  Google Scholar 

  8. J. Xia, Y. Maeno, P. T. Beyersdorf, M. M. Fejer, and A. Kapitulnik, Phys. Rev. Lett. 97, 167002 (2006).

    Article  ADS  Google Scholar 

  9. G. M. Luke, Y. Fudamoto, K. M. Kojima, M. I. Larkin, J. Merrin, B. Nachumi, Y. J. Uemura, Y. Maeno, Z. Q. Mao, Y. Mori, H. Nakamura and M. Sigrist, Nature (London) 394, 558 (1998).

    Article  ADS  Google Scholar 

  10. Y. Maeno, S. Kittaka, T. Nomura, S. Yonezawa, and K. Ishida, J. Phys. Soc. Jpn. 81, 011009 (2012).

    Article  ADS  Google Scholar 

  11. C. W. Hicks, J. R. Kirtley, T. M. Lippman, et al., Phys. Rev. B 81, 124501 (2010).

    Google Scholar 

  12. S. Lederer, W. Huang, E. Taylor, S. Raghu, and C. Kallin, arXiv: 1404.4637.

  13. T. M. Rice and M. Sigrist, J. Phys.: Condens. Matter 7, L613 (1996).

    Google Scholar 

  14. B. Spivak, P. Oreto, and S. Kivelson, Physica B (Amsterdam) 404, 462, (2009).

    Article  ADS  Google Scholar 

  15. B. Spivak, P. Oreto, and S. A. Kivelson, Phys. Rev. B: Condens. Matter 77, 214523 (2008).

    Article  ADS  Google Scholar 

  16. W. C. Hicks, D. O. Brodsky, E. A. Yelland, A. S. Gibbs, J. A. N. Bruin, M. E. Barber, S. D. Edkins, K. Nishimura, S. Yonezawa, Y. Maeno, and A. P. Mackenzie, Science (Washington) 344, 283 (2014).

    Article  ADS  Google Scholar 

  17. A. F. Andreev, Sov. Phys. JETP 19, 1228 (1964).

    Google Scholar 

  18. D. C. Mattis, Phys. Lett. A 56, 421 (1976).

    Article  ADS  Google Scholar 

  19. B. Spivak, A. Zyuzin, and M. Hruska, Phys. Rev. B: Condens. Matter 64, 132502 (2001).

    Article  ADS  Google Scholar 

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Correspondence to B. Z. Spivak.

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Contribution for the JETP special issue in honor of A.F. Andreev’s 75th birthday

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Keles, A., Andreev, A.V., Spivak, B.Z. et al. Theory of disordered unconventional superconductors. J. Exp. Theor. Phys. 119, 1109–1114 (2014). https://doi.org/10.1134/S1063776114120127

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  • DOI: https://doi.org/10.1134/S1063776114120127

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