Keldysh action for disordered superconductors

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 18, 2000, Pages 12361-12388

  Feigel'man M ^a   Larkin, A ^a,b   Skvortsov, M A ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000325711     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.12361     Document Type: Article

References (44)

1. A. F. Volkov, A. V. Zaitsev, and T. M. Klapwijk, Physica C 210, 21 (1993).
2. Yu. V. Nazarov, Phys. Rev. Lett. 73, 1420 (1994).
3. C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
4. L. G. Aslamazov, A. I. Larkin, and Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 55, 323 (1968) [Sov. Phys. JETP 28, 171 (1969)].
5. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
6. L. P. Gorkov, A. I. Larkin, and D. E. Khmelnitsky, Pis’ma Zh. Éksp. Teor. Fiz. 30, 248 (1979) [JETP Lett. 30, 228 (1979)].
7. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interactions in Disordered Conductors, edited by A. J. Efros and M. Pollack (Elsevier Science, North-Holland, Amsterdam, 1985).
8. B. L. Altshuler, A. G. Aronov, and P. A. Lee, Phys. Rev. Lett. 44, 1288 (1980).
9. S. Maekawa and H. Fukuyama, J. Phys. Soc. Jpn. 51, 1380 (1982).
10. H. Takagi and Y. Kuroda, Solid State Commun. 41, 643 (1982).
11. A. M. Finkelstein, Pis’ma Zh. Eksp. Teor. Fiz. 45, 37 (1987) [JETP Lett. 45, 46 (1987)].
12. A. M. Finkelstein, Physica B 197, 636 (1994).
13. Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 64, 719 (1973) [Sov. Phys. JETP 37, 336 (1973)].
14. K. B. Efetov, A. I. Larkin, and D. E. Khmelnitsky, Zh. Éksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].
15. K. B. Efetov, Adv. Phys. 32, 53 (1983);Supersymmetry in Disorder and Chaos (Cambridge University Press, New York, 1997).
16. L. V. Keldysh, Zh. Éksp. Teor. Fiz. 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
17. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986).
18. C. J. Lambert and R. Raimondi, J. Phys.: Condens. Matter 10, 901 (1998).
19. K. Usadel, Phys. Rev. Lett. 25, 507 (1970).
20. A. Kamenev and A. Andreev, Phys. Rev. B 60, 2218 (1999).
21. C. Chamon, A. W. W. Ludwig, and C. Nayak, Phys. Rev. B 60, 2239 (1999).
22. A. G. Aronov and A. S. Ioselevich, Pis’ma Zh. Éksp. Teor. Fiz. 41, 71 (1985) [JETP Lett. 41, 84 (1985)].
23. K. C. Chen, B. Su, B. L. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
24. V. S. Babichenko and A. N. Kozlov, Solid State Commun. 59, 39 (1986).
25. M. L. Horbach and G. Schoen, Ann. Phys. (Leipzig) 2, 51 (1993).
26. A. Huck, F. W. J. Hekking, and B. Kramer, Europhys. Lett. 41, 201 (1998).
27. V. N. Popov, Functional Integrals in Quantum Field Theory and Stastistical Physics (Reidel, Dordrecht, 1983).
28. L. P. Gorkov, Zh. Éksp. Teor. Fiz. 34, 735 (1958) [Sov. Phys. JETP 7, 505 (1958)].
29. Y. Nambu, Phys. Rev. 117, 648 (1960).
30. A. Altland, B. D. Simons, and D. Taras-Semchuk, Pis’ma Zh. Éksp. Teor. Fiz. 67, 21 (1998) [JETP Lett. 67, 22 (1998)];
31. A. AltlandB. D. SimonsD. Taras-SemchukAdv. Phys. 49, 321 (2000).
32. G. Eilenberger, Z. Phys. 214, 195 (1968).
33. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Prentice Hall, New York, 1963).
34. B. N. Narozhny, I. L. Aleiner, and B. L. Altshuler, Phys. Rev. B 60, 7213 (1999).
35. A. I. Larkin and A. B. Migdal, Zh. Éksp. Teor. Fiz. 44, 1703 (1963) [Sov. Phys. JETP 17, 1146 (1963)].
36. I. L. Aleiner and B. L. Altshuler (unpublished).
37. V. G. Vaks and A. I. Larkin, Zh. Éksp. Teor. Fiz. 40, 1392 (1961) [Sov. Phys. JETP 13, 979 (1961)].
38. M. Yu. Kupriyanov and V. F. Lukichev, Zh. Éksp. Teor. Fiz. 94, 139 (1988) [Sov. Phys. JETP 67, 1163 (1988)].
39. Y. Oreg, P. Browner, B. Simons, and A. Altland, Phys. Rev. Lett. 82, 1269 (1999).
40. L. S. Levitov and A. V. Shytov, Pis’ma Zh. Éksp. Teor. Fiz. 66, 200 (1997) [JETP Lett. 66, 214 (1997)].
41. F. W. J. Hekking and Yu. V. Nazarov, Phys. Rev. B 49, 6847 (1994).
42. Yu. Oreg and A. M. Finkelstein, Phys. Rev. Lett. 83, 191 (1999).
43. M. V. Feigel’man and A. I. Larkin, Chem. Phys. 235, 107 (1998).
44. B. L. Altshuler, A. G. Aronov, and A. Yu. Zyuzin, Zh. Éksp. Teor. Fiz. 86, 709 (1984) [Sov. Phys. JETP 59, 415 (1984)].