Free energy of an inhomogeneous superconductor: A wave-function approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 14, 1998, Pages 9365-9384

  Kosztin, Ioan ^a   Kos, Šimon ^a   Stone, Michael ^a   Leggett, Anthony J ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001068623     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.9365     Document Type: Article

References (62)

1. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957).
2. J. R. Schrieffer, Theory of Superconductivity, Frontiers in Physics (Benjamin/Cummings, Reading, MA, 1983).
3. C. J. Pethick and H. Smith, Ann. Phys. (N.Y.) 119, 133 (1979).
4. J. Bardeen and M. J. Stephen, Phys. Rev. 140, A1197 (1965).
5. P. Nozieres and W. F. Vinen, Philos. Mag. 14, 667 (1966).
6. Y. B. Kimm and M. J. Stephen, in Superconductivity, edited by R. D. Parks (Dekker, New York, 1966), Vol. 2, p. 1107.
7. G. Blatter, V. B. Geshkenbein, and V. M. Vinokur, Phys. Rev. Lett. 66, 3297 (1991).
8. J. S. Langer and V. Ambegaokar, Phys. Rev. 164, 498 (1967).
9. D. E. McCumber and B. I. Halperin, Phys. Rev. B 1, 1054 (1970).
10. N. Giordano, Physica B 203, 460 (1994), and references therein.
11. F. Sharifi, A. V. Herzog, and R. C. Dynes, Phys. Rev. Lett. 71, 428 (1993).
12. X. S. Ling et. al Phys. Rev. Lett. 74, 805 (1995).
13. L. G. Azlamazov and A. I. Larkin, Sov. Phys. Solid State 10, 875 (1968).
14. A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963).
15. V. N. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, Cambridge, 1987).
16. P. G. de Gennes, Superconductivity of Metals and Alloys (Addison-Wesley, Redwood City, CA, 1989).
17. J. W. Serene and D. Rainer, Phys. Rep. 101, 221 (1983).
18. A. Schmid, Phys. Kondens. Mater. 5, 302 (1966).
19. E. Abrahams and T. Tsuneto, Phys. Rev. 152, 416 (1966).
20. S. Saito and Y. Murayama, Phys. Lett. A 135, 55 (1989).
21. S. Saito and Y. Murayama, Phys. Lett. A 139, 85 (1989).
22. H. T. C. Stoof, Phys. Rev. B 47, 7979 (1993).
23. M. Greiter, F. Wilczek, and E. Witten, Mod. Phys. Lett. B 3, 903 (1989).
24. P. Ao, J. M. Duan, L. Y. Shieh, and A. J. Leggett, Bull. Am. Phys. Soc. 35, 677 (1990).
25. I. J. R. Aitchison, P. Ao, D. J. Thouless, and X. M. Zhu, Phys. Rev. B 51, 6531 (1995).
26. M. Stone, Int. J. Mod. Phys. B 9, 1359 (1995).
27. R. Balian, L. H. Nosanow, and N. R. Werthamer, Phys. Rev. Lett. 8, 372 (1962).
28. D. Hone, Phys. Rev. Lett. 8, 370 (1962).
29. L. P. Gor’kov and V. M. Galitskii, Sov. Phys. JETP 13, 792 (1961).
30. P. W. Anderson and P. Morel, Phys. Rev. 123, 1911 (1961).
31. L. A. Dickey, Soliton Equations and Hamiltonian Systems (World Scientific, Singapore, 1991).
32. C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).
33. J. Bardeen, R. Kümmel, A. E. Jacobs, and L. Tewordt, Phys. Rev. 187, 556 (1969).
34. W. N. Mathews, Jr., Phys. Status Solidi B 90, 327 (1978).
35. R. M. Cleary, Phys. Rev. B 1, 1039 (1970).
36. A. E. Jacobs, Phys. Rev. B 2, 3587 (1970).
37. R. M. Cleary, Phys. Rev. B 2, 3577 (1970).
38. A. E. Jacobs, Phys. Rev. B 4, 3247 (1971).
39. C. R. Hu, Phys. Rev. B 6, 1 (1972).
40. J. Bar-Sagi and C. G. Kuper, Phys. Rev. Lett. 28, 1556 (1972).
41. W. L. Clinton, Phys. Rev. B 8, 1962 (1973).
42. G. Eilenberger and A. E. Jacobs, J. Low Temp. Phys. 20, 479 (1975).
43. D. Y. Chen and C. R. Hu, J. Low Temp. Phys. 25, 43 (1976).
44. G. Junker, Supersymmetric Methods in Quantum and Statistical Physics (Springer-Verlag, Berlin, 1996).
45. C. R. Hu, Phys. Rev. B 12, 3635 (1975).
46. D. Waxman, Phys. Rev. Lett. 72, 570 (1994).
47. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, Inc., San Diego, CA, 1994).
48. A. F. Andreev, Sov. Phys. JETP 19, 1228 (1964).
49. J. Bar-Sagi and C. G. Kuper, J. Low Temp. Phys. 16, 73 (1974).
50. E. Witten, Nucl. Phys. B 188, 513 (1981).
51. F. Schwabl, Quantum Mechanics (Springer-Verlag, Berlin, 1995).
52. L. J. Buchholtz, M. Palumbo, D. Rainer, and J. A. Sauls, J. Low Temp. Phys. 101, 1079 (1995).
53. L. J. Buchholtz, M. Palumbo, D. Rainer, and J. A. Sauls, J. Low Temp. Phys. 101, 1099 (1995).
54. M. Fogelstrom, D. Rainer, and J. A. Sauls, Phys. Rev. Lett. 79, 281 (1997).
55. L. E. Gendenshtein, JETP Lett. 38, 356 (1983).
56. L. Infeld and T. E. Hull, Rev. Mod. Phys. 23, 21 (1951).
57. I. M. Gelfand and L. A. Dikii, Russian Math. Surveys 30, 77 (1975).
58. J. Feinberg, Nucl. Phys. B 433, 625 (1995).
59. W. Stephen, The Mathematica Book (Wolfram Media, Champaign, 1996).
60. N. R. Werthamer, in Superconductivity, edited by R. Parks (Dekker, New York, 1969), Vol. 1, Chap. 6, p. 321.
61. L. Tewordt, Z. Phys. 180, 385 (1964).
62. N. R. Werthamer, Phys. Rev. 132, 663 (1963).