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Phase Coherence Phenomena in Disordered Superconductors

  • A. Lamacraft
  • B. D. Simons
Part of the NATO Science Series book series (NAII, volume 72)

Abstract

Mechanisms of quantum phase coherence heavily influence spectral and transport properties of weakly disordered normal conductors. Such effects are manifest in weak and strong localization effects, and characteristic fluctuation phenomena. Over the past thirty years, theoretical progress in elucidating the mechanisms of quantum phase coherence in weakly disordered structures has been substantial: By now a consistent theory of weakly interacting disordered structures has been developed (For a review, see e.g., Refs. [1-3]).

Keywords

Magnetic Impurity Phase Coherence Tail State Dirty Limit Band Tail State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    B. L. Altshuler and A. G. Aronov, in Electron-Electron Interactions in Disordered Conductors, ed. A. J. Efros and M. Pollack, Elsevier Science Publishers, North-Holland, 1985.Google Scholar
  2. 2.
    B. L. Altshuler, A. G. Aronov, M. E. Gershenson, and Y. V. Sharvin, in: Physics Reviews, ed., I. M. Khalatnikov (Harwood Academic Publishers, Switzerland, 1987), p. 225.Google Scholar
  3. 3.
    B. L. Altshuler, P. A. Lee, and R. A. Webb, editors, Mesoscopic Phenomena in Solids (North-Holland, Amsterdam): p. 1, 1991.Google Scholar
  4. 4.
    M. Tinkham, Introduction to Superconductivity, McGraw-Hill, New York, 1996.Google Scholar
  5. 5.
    P. W. Anderson, J. Phys. Chem. Sol. 11, 26 (1959).ADSCrossRefGoogle Scholar
  6. 6.
    N. Moussy, H. Courtois, and B. Pannetier, preprint cond-mat/0106299.Google Scholar
  7. 7.
    M. Ma and P. A. Lee, Phys. Rev. B 22, 5658 (1985).ADSCrossRefGoogle Scholar
  8. 8.
    A. M. Finkelstein, Physica B, 197, 636 (1994).ADSCrossRefGoogle Scholar
  9. 9.
    A. F. Andreev, Sov. Phys. JETP 19, 1228 (1964).Google Scholar
  10. 10.
    A. Altland, B. D. Simons and J. P. D. Taras-Semchuk, JETP Lett. 67,22 (1998); Adv. in Phys. 49, 321 (2000).ADSCrossRefGoogle Scholar
  11. 11.
    A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics, Dover, New York, 1975.Google Scholar
  12. 12.
    L. P. Gor’kov, A. I. Larkin, and D. E. Khmel’nitskii, JETP Lett. 30, 228 (1979).ADSGoogle Scholar
  13. 13.
    A. A. Abrikosov and L. P. Gor’kov, Sov. Phys. JETP 12, 1243 (1961).Google Scholar
  14. 14.
    I. L. Kurland, I. L. Aleiner, and B. L. Altshuler, Phys. Rev. B, 62, 14886, (2000).ADSCrossRefGoogle Scholar
  15. 15.
    F. J. Dyson, J. Math. Phys. 3, 140, 157, 166 (1962); F J. Dyson and M. L. Mehta, J. Math. Phys. 4, 701 (1963).MathSciNetADSzbMATHCrossRefGoogle Scholar
  16. 16.
    A. Altland and M. R. Zirnbauer, Phys. Rev. Lett. 76, 3420 (1996); Phys. Rev. B 55, 1142 (1997).ADSCrossRefGoogle Scholar
  17. 17.
    M. R. Zirnbauer, J. Math. Phys. 37, 4986 (1996).MathSciNetADSzbMATHCrossRefGoogle Scholar
  18. 18.
    W. A. Atkinson, P J. Hirschfeld, A. H. MacDonald, preprint cond-mat/0002333; W. A. Atkinson, P. J. Hirschfeld, A. H. MacDonald, and K. Ziegler, preprint cond-mat/0005487Google Scholar
  19. 19.
    A. Altland, B. D. Simons, and M. R. Zirnbauer, Phys. Rep. in press.Google Scholar
  20. 20.
    T. Senthil, M. P. A. Fisher, L. Balents, and C. Nayak, Phys. Rev. Lett, 81, 4704 (1998).ADSCrossRefGoogle Scholar
  21. 21.
    A. I. Larkin and Yu N. Ovchinnikov, Sov. Phys. JETP 28, 1200 (1969).Google Scholar
  22. 22.
    A. I. Larkin and Yu N. Ovchinnikov, SOY. Phys. JETP 28,1200 (1969).Google Scholar
  23. 23.
    A. I. Larkin and Yu. N. Ovchinnikov, in Nonequilibrium Superconductivity, eds. D. N. Langenberg and A. I. Larkin (Elsevier, New York, 1986).Google Scholar
  24. 24.
    N. Kopnin Theory of Non-equilibrium Superconductivity, Oxford Science Publications, 2001.Google Scholar
  25. 25.
    K.D. Usadel, Phys. Rev. Lett. 25, 507 (1970).ADSCrossRefGoogle Scholar
  26. 26.
    K. B. Efetov, Adv. Phys. 32, 53 (1983).MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    K. B. Efetov, Supersymmetry in Disorder and Chaos, Cambridge University Press, 1997.Google Scholar
  28. 28.
    R. Oppermann, Nuclear Phys. B 280, 753 (1987).MathSciNetADSCrossRefGoogle Scholar
  29. 29.
    V. E. Kravtsov and R. Oppermann, Phys. Rev. B 43, 10865 (1991).ADSCrossRefGoogle Scholar
  30. 30.
    R. Bundschuh, C. Cassanello, D. Serban, and M. R. Zirnbauer, Nucl. Phys. B 532, 689 (1998).ADSCrossRefGoogle Scholar
  31. 31.
    F. Wegner, Z. Phys. B. 35, 207 (1979)ADSCrossRefGoogle Scholar
  32. 32.
    J. J. M. Verbaarschot, H. A. Weidenmüller, and M. R. Zirnbauer, Phys. Rep. 129, 367 (1985).MathSciNetADSCrossRefGoogle Scholar
  33. 33.
    J. A. Melsen, P. W. Brouwer, K. M Frahm, and C. W. J Beenakker, Europhys. Lett. 35, 7 (1997); Physica Scripta 69, 223 (1997).ADSCrossRefGoogle Scholar
  34. 34.
    See, for e.g., C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).ADSCrossRefGoogle Scholar
  35. 35.
    K. M Frahm, P. W. Brouwer, J. A. Meisen, and C. W. J. Beenakker, Phys. Rev. Lett. 76, 2981 (1996).ADSCrossRefGoogle Scholar
  36. 36.
    J. P. D. Taras-Semchuk and A. Altland, preprint cond-mat/0010413Google Scholar
  37. 37.
    K. Maki, in Superconductivity, edited by R. D. Parks (Dekker, New York, 1969), Vol. 2, p. 1035.Google Scholar
  38. 38.
    S. A. van Langen, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. E 55, R1 (1997).ADSCrossRefGoogle Scholar
  39. 39.
    Lu Yu, Physica Sinica 21, 75 (1965).Google Scholar
  40. 40.
    H. Shiba, Prog. Theo. Phys. 40, 435 (1968).ADSCrossRefGoogle Scholar
  41. 41.
    A. I. Rusinov, JETP Lett. 9, 85 (1969).ADSGoogle Scholar
  42. 42.
    A. V. Balatsky and S. A. Trugman, Phys. Rev. Lett. 79, 3767 (1997).ADSCrossRefGoogle Scholar
  43. 43.
    I. M. Lifshitz, SOY. Phys. Usp. 7, 549 (1965); Usp. Fiz. Nauk. 83, 617 (1964).Google Scholar
  44. 44.
    B. I. Halperin and M. Lax, Phys. Rev. 148, 722 (1966); J. Zittartz and J. S. Langer, Phys. Rev. 148, 741 (1966).Google Scholar
  45. 45.
    A. Lamacraft and B. D. Simons, Phys. Rev. B 64, 014514 (2001).ADSCrossRefGoogle Scholar
  46. 46.
    M. G. Vavilov, P. W. Brouwer, V. Ambegaokar, and C. W. J Beenakker, Phys. Rev. Lett. 86, 874(2001).ADSCrossRefGoogle Scholar
  47. 47.
    K. Maki, Phys. Rev. 153, 428 (1967).ADSCrossRefGoogle Scholar
  48. 48.
    A. I. Larkin, V. I. Melnikov and D. E. Khmel’nitskii, Sov. Phys. JETP 33,458 (1971) [ZhETP 60,846(1971)].ADSGoogle Scholar
  49. 49.
    R. Bundschuh, C. Cassanello, D. Serban, and M. R. Zirnbauer, Phys. Rev. B 59, 4382 (1999).ADSCrossRefGoogle Scholar
  50. 50.
    M. Bocquet, D. Serban and M. R. Zirnbauer, Nucl. Phys. B 578, 628 (2000).MathSciNetADSzbMATHCrossRefGoogle Scholar
  51. 51.
    T. Senthil and M. P. A. Fisher, Phys. Rev. B 61, 9690 (2000).ADSCrossRefGoogle Scholar
  52. 52.
    N. Read and D. Green, Phys. Rev. B 61, 10267 (2000).ADSCrossRefGoogle Scholar
  53. 53.
    D. Friedan, Phys. Rev. Lett. 45, 1057 dateGoogle Scholar
  54. 54.
    I. S. Beloborodov, B. N. Narozhny and I. L. Aleiner, Phys. Rev. Lett. 85, 816 (2000).ADSCrossRefGoogle Scholar
  55. 55.
    J. Cardy, J. Phys. C 11, L321 (1978).ADSCrossRefGoogle Scholar
  56. 56.
    I. Affleck, J. Phys. C 17, 2323 (1984).ADSCrossRefGoogle Scholar
  57. 57.
    See, e.g., S. Coleman, in Aspects of Symmetry (CUP) (1985).Google Scholar
  58. 58.
    K. Benedict, Nucl. Phys. B 280, 549 (1987); K. B. Efetov and V. G. Marikhin, Phys. Rev. B 40, 12126 (1989); O. Viehweger and K. B. Efetov, Phys. Rev. B 44, 1168 (1991).ADSCrossRefGoogle Scholar
  59. 59.
    B. A. Muzykantskii and D. E. Khmel’nitskii, Phys. Rev. B 51, 5840 (1995).CrossRefGoogle Scholar
  60. 60.
    V. I. Fal’ko and K. B. Efetov, Europhys. Lett. 32, 627 (1995); A. D. Mirlin, Phys. Rev. B 53, 1186(1996).ADSCrossRefGoogle Scholar
  61. 61.
    P. M. Ostrovsky, M. A. Skvortsov and M. V. Feigel’man, preprint cond-mat/0012478Google Scholar
  62. 62.
    A. A. Golubov and M. Yu. Kupriyanov, Sov. Phys. JETP 69, 805 (1989).Google Scholar
  63. 63.
    P. G. De Gennes, Superconductivity of metals and alloys, Addison-Wesley, Redwood City, 1989.Google Scholar
  64. 64.
    A. I. Larkin and Y. N. Ovchinnikov, Sov. Phys. JETP 34, 1144 (1972).ADSGoogle Scholar
  65. 65.
    K. Maki, Progr. Theoret. Phys. 29, 333 (1963).ADSCrossRefGoogle Scholar
  66. 66.
    P. G. de Gennes and M. Tinkham, Physics 1, 107 (1964).Google Scholar
  67. 67.
    J. S. Meyer and B. D. Simons, Phys. Rev. B 64, 134516 (2001).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • A. Lamacraft
    • 1
  • B. D. Simons
    • 1
  1. 1.Cavendish LaboratoryCambridgeUK

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