Hamiltonian approach to the transport properties of superconducting quantum point contacts

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 10, 1996, Pages 7366-7379

  Cuevas, J ^a   Martin Rodero A ^a   Yeyati, A Levy ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001344316     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.7366     Document Type: Article

References (45)

1. A.F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1964)]; 49, 655 (1966) [22, 455 (1966)];
2. B.D. Josephson, Phys. Lett. 1, 251 (1962).
3. B.D. Josephson, Rev. Mod. Phys. 36, 216 (1964).
4. K.K. Likharev, Rev. Mod. Phys. 51, 101 (1979).
5. G.E. Blonder, M. Tinkham and T.M. Klapwijk, Phys. Rev. B 25, 4515 (1982).
6. N. van der Post, E.T. Peters, I.K. Yanson and J.M. van Ruitenbeek, Phys. Rev. Lett. 73, 2611 (1994).
7. B.J. Vleeming, C.J. Muller, M.C. Koops, and R. de Bruyn Ouboter, Phys. Rev. B 50, 16t741 (1994).
8. H. Takayanagi, T. Akazaki and J. Nitta, Phys. Rev. Lett. 75, 3533 (1995).
9. E.N. Bratus, V.S. Shumeiko and G. Wendin, Phys. Rev. Lett. 74, 2110 (1995).
10. A. Martín-Rodero, A. Levy Yeyati and J.C. Cuevas, Physica B 218, 126 (1996).
11. A. Levy Yeyati, A. Martín-Rodero and J.C. Cuevas, J. Phys.: Condens. Matter 8, 449 (1996).
12. D. Averin and A. Bardas, Phys. Rev. Lett. 75, 1831 (1995).
13. R. Landauer, Philos. Mag. 21, 863 (1970).
14. J. Bardeen, Phys. Rev. Lett. 6, 57 (1961).
15. V. Ambegaokar and A. Baratoff, Phys. Rev. Lett. 10, 486 (1963).
16. V. Ambegaokar and A. Baratoff, Phys. Rev. Lett. 11, 104 (1963).
17. J.R. Schrieffer and J.W. Wilkins, Phys. Rev. Lett. 10, 17 (1963); J.W. Wilkins, Tunneling Phenomena in Solids (Plenum, New York, 1963), p. 333.
18. A. Martín-Rodero, F. J. García-Vidal and A. Levy Yeyati, Phys. Rev. Lett. 72, 554 (1994).
19. A. Levy Yeyati, A. Martín-Rodero and F. J. García-Vidal, Phys. Rev. B 51, 3743 (1995).
20. A. Levy Yeyati, A. Martín-Rodero and F. Flores, Phys. Rev. Lett. 71, 2991 (1993).
21. P.G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
22. D. Rogovin and D.J. Scalapino, Ann. Phys. 86, 1 (1974).
23. L.V. Keldysh, Sov. Phys. JETP 20, 1018 (1965).
24. A typical estimate of η for a traditional superconductor is η/Δ∼(Formula presented). See, for instance, S.B. Kaplan et. al Phys. Rev. B 14, 4854 (1976).
25. C. Caroli, R. Combescot, P. Nozières and D. Saint-James, J. Phys. C 4, 916 (1971).
26. J. Ferrer, A. Martín-Rodero and F. Flores, Phys. Rev. B 38, 10t113 (1988).
27. A different derivation of Eq. (16) can be found in Y.A. Genenko and Y.A. Ivanchenko, Theor. Math. Phys. 69, 1056 (1986).
28. G.D. Mahan, Many-Particle Physics (Plenum, New York, 1981).
29. L.E. Hasselberg, J. Phys. F 3, 1438 (1973).
30. L.E. Hasselberg, M.T. Levinsen and M.R. Samuelsen, Phys. Rev. B 9, 3757 (1974).
31. A.V. Zaitsev, Zh. Éksp. Teor. Fiz. 78, 221 (1980) [Sov. Phys. JETP 51, 111 (1980)].
32. G. B. Arnold, J. Low Temp. Phys. 59, 143 (1985).
33. G. B. Arnold, J. Low Temp. Phys. 68, 1 (1987).
34. A. Levy Yeyati and F. Flores, J. Phys.: Condens. Matter 4, 7341 (1992).
35. A. Levy Yeyati, J. C. Cuevas, and A. Martín-Rodero, in Photons and Local Probes, edited by O. Marti and R. Möller (Kluwer Academic, Dordrecht, 1995).
36. M. Octavio, M. Tinkham, G.E. Blonder and T.M. Klapwijk, Phys. Rev. B 27, 6739 (1983).
37. T.M. Klapwijk, G.E. Blonder, and M. Tinkham, Physica B&C 109-110, 1657 (1982).
38. K. Flensberg, J. Bindslev Hansen and M. Octavio, Phys. Rev. B 38, 8707 (1988).
39. A. Furusaki and M. Tsukada, Physica B 165+166, 967 (1990).
40. The dominant contribution of MAR in the linear conductance of S-N-S weak links has been recently pointed out by U. Gunsenheimer and A.D. Zaikin, Phys. Rev. B 50, 6317 (1994).
41. R. Rifkin, Jr. and B.S. Deaver, Phys. Rev. B 13, 3894 (1976).
42. A.B. Zorin et. al Fiz. Nizk. Temp. 5, 1138 (1979) [Sov. J. Low Temp. Phys. 5, 537 (1979)].
43. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
44. A. Martín-Rodero, A. Levy Yeyati and F.J. García-Vidal, Phys. Rev. B 53, R8891 (1996).
45. R. de Bruyn Ouboter and A.N. Omelyanchouk, Physica B 216, 37 (1995).