Supercurrent-carrying density of states in diffusive mesoscopic Josephson weak links

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 18, 2002, Pages 1845131-18451310

  Heikkilä, Tero T ^a,b,d   Särkkä, Jani ^a   Wilhelm, Frank K ^c  

^a AALTO UNIVERSITY   (Finland)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c UNIVERSITY OF MUNICH   (Germany)

^d Low Temperature Laboratory   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ARTICLE; DIFFUSION; ELEMENTARY PARTICLE; GEOMETRY; MATHEMATICAL ANALYSIS; NONLINEAR SYSTEM; PHASE TRANSITION; QUANTITATIVE ANALYSIS; QUANTUM MECHANICS; THEORY;

EID: 0036871328     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. F. K. Wilhelm, G. Schön, and A. D. Zaikin, Phys. Rev. Lett. 81, 1682 (1998).
2. S. K. Yip, Phys. Rev. B 58, 5803 (1998).
3. A. F. Volkov, Phys. Rev. Lett. 74, 4730 (1995); A. F. Volkov, R. Seviour, and V. V. Pavlovskii, Superlattices Microstruct. 25, 647 (1999).
4. A. F. Volkov, Phys. Rev. Lett. 74, 4730 (1995); A. F. Volkov, R. Seviour, and V. V. Pavlovskii, Superlattices Microstruct. 25, 647 (1999).
5. A. F. Morpurgo, T. M. Klapwijk, and B. J. van Wees, Appl. Phys. Lett. 72, 966 (1998).
6. J. J. A. Baselmans, A. F. Morpurgo, B. J. van Wees, and T. M. Klapwijk, Nature (London) 397, 43 (1999); J. J. A. Baselmans, B. J. van Wees, and T. M. Klapwijk, Phys. Rev. B 63, 094504 (2001).
7. J. J. A. Baselmans, A. F. Morpurgo, B. J. van Wees, and T. M. Klapwijk, Nature (London) 397, 43 (1999); J. J. A. Baselmans, B. J. van Wees, and T. M. Klapwijk, Phys. Rev. B 63, 094504 (2001).
8. J. Huang, F. Pierre, T. T. Heikkilä, F. K. Wilhelm, and N. O. Birge, Phys. Rev. B 66, 020507(R) (2002).
9. Th. Schäpers et al., Appl. Phys. Lett. 73, 2348 (1998).
10. J. J. A. Baselmans, B. J. van Wees, and T. M. Klapwijk, Phys. Rev. B 65, 224513 (2002).
11. J. Kutchinsky, R. Taboryski, C. B. Sørensen, J. B. Hansen, and P. E. Lindelof, Phys. Rev. Lett. 83, 4856 (1999).
12. P. Dubos, H. Courtois, B. Pannetier, F. K. Wilhelm, A. D. Zaikin, and G. Schön, Phys. Rev. B 63, 064502 (2001).
13. J. J. A. Baselmans, T. T. Heikkilä, B. J. van Wees, and T. M. Klapwijk, Phys. Rev. Lett. 89, 207002 (2002).
14. I. O. Kulik, Zh. Éksp. Teor. Fiz. 57, 1745 (1969) [Sov. Phys. JETP 30, 944 (1970)].
15. Ch. Ishii, Prog. Theor. Phys. 44, 1525 (1970).
16. J. Bardeen and J. L. Johnson, Phys. Rev. B 5, 72 (1972).
17. M. Büttiker and T. M. Klapwijk, Phys. Rev. B 33, 5114 (1986).
18. B. J. van Wees, K.-M. H. Lenssen, and C. J. P. M. Harmans, Phys. Rev. B 44, 470 (1991).
19. C. W. J. Beenakker and H. van Houten, Phys. Rev. Lett. 66, 3056 (1991).
20. U. Gunsenheimer, U. Schüssler, and R. Kümmel, Phys. Rev. B 49, 6111 (1994).
21. K.D. Usadel, Phys. Rev. Lett. 25, 507 (1970).
22. For an introduction see, e.g., W. Belzig, F. K. Wilhelm, C. Bruder, G. Schön, and A. D. Zaikin, Superlattices Microstruct. 25, 1251 (1999).
23. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986).
24. F. Sols and J. Ferrer, Phys. Rev. B 49, 15 913 (1994).
25. A. V. Zaitsev, Zh. Éksp. Teor. Phys. 86, 1742 (1984) [Sov. Phys. JETP 59, 1015 (1984)].
26. M. Yu. Kuprianov and V. F. Lukichev, Zh. Éksp. Teor. Fiz. 94, 139 (1988) [Sov. Phys. JETP 59, 1015 (1984)].
27. Yu. V. Nazarov, Superlattices Microstruct. 25, 1221 (1999).
28. W. Belzig, A. Brataas, Yu. V. Nazarov, and G. E. W. Bauer, Phys. Rev. B 62, 9726 (2000).
29. K. M. Schep and G. E. W. Bauer, Phys. Rev. Lett. 78, 3015 (1997).
30. A. V. Zaitsev, Physica B 203, 274 (1994).
31. A. A. Golubov, F. K. Wilhelm, and A. D. Zaikin, Phys. Rev. B 55, 1123 (1997).
32. A. F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1969)]; 49, 655 (1965) [22, 455 (1966)].
33. A. F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1969); 49, 655 (1965) [22, 455 (1966)].
34. A. A. Golubov and M. Yu. Kupriyanov, J. Low Temp. Phys. 70, 83 (1988).
35. W. Belzig, C. Bruder, and G. Schön, Phys. Rev. B 54, 9443 (1996).
36. F. Zhou, P. Charlat, and B. Pannetier, J. Low Temp. Phys. 110, 841 (1998).
37. O. Kulik and A. N. Omelyan'chuk, Fiz. Nizk. Temp. 4, 296 (1978) [Sov. J. Low Temp. Phys. 4, 142 (1978)]
38. C. W. J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991); 68, 1442(E) (1992).
39. C. W. J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991); 68, 1442(E) (1992).
40. Yu. V. Nazarov, Phys. Rev. Lett. 73, 134 (1994).
41. T. T. Heikkilä, F. K. Wilhelm, and G. Schön, Europhys. Lett. 51, 434 (2000).
42. A. I. Buzdin, L. N. Bulaevskii, and V. Panyukov, Pis'ma Zh. Eksp. Teor. Fiz. 35, 147 (1982) [JETP Lett. 35, 178 (1982)] A. I. Buzdin and M. Yu. Kupriyanov, ibid. 52, 1089 (1990) [ibid. 52, 487 (1990)]; 53, 308 (1991) [53, 321 (1991)]; A. I. Buzdin, B. Bujicic, and M. Yu. Kupriyanov, Zh. Eksp. Teor. Fiz. 101, 231 (1992) [Sov. Phys. JETP 74, 124 (1992)].
43. A. I. Buzdin, L. N. Bulaevskii, and V. Panyukov, Pis'ma Zh. Eksp. Teor. Fiz. 35, 147 (1982) [JETP Lett. 35, 178 (1982)]; A. I. Buzdin and M. Yu. Kupriyanov, ibid. 52, 1089 (1990) [ibid. 52, 487 (1990)]; 53, 308 (1991) [53, 321 (1991)]; A. I. Buzdin, B. Bujicic, and M. Yu. Kupriyanov, Zh. Eksp. Teor. Fiz. 101, 231 (1992) [Sov. Phys. JETP 74, 124 (1992)].
44. A. I. Buzdin, L. N. Bulaevskii, and V. Panyukov, Pis'ma Zh. Eksp. Teor. Fiz. 35, 147 (1982) [JETP Lett. 35, 178 (1982)]; A. I. Buzdin and M. Yu. Kupriyanov, ibid. 52, 1089 (1990) [ibid. 52, 487 (1990)]; 53, 308 (1991) [53, 321 (1991)]; A. I. Buzdin, B. Bujicic, and M. Yu. Kupriyanov, Zh. Eksp. Teor. Fiz. 101, 231 (1992) [Sov. Phys. JETP 74, 124 (1992)].
45. A. I. Buzdin, L. N. Bulaevskii, and V. Panyukov, Pis'ma Zh. Eksp. Teor. Fiz. 35, 147 (1982) [JETP Lett. 35, 178 (1982)]; A. I. Buzdin and M. Yu. Kupriyanov, ibid. 52, 1089 (1990) [ibid. 52, 487 (1990)]; 53, 308 (1991) [53, 321 (1991)]; A. I. Buzdin, B. Bujicic, and M. Yu. Kupriyanov, Zh. Eksp. Teor. Fiz. 101, 231 (1992) [Sov. Phys. JETP 74, 124 (1992)].
46. V. V. Ryazanov, V. A. Oboznov, A. Yu. Rusanov, A. V. Veretennikov, A. A. Golubov, and J. Aarts, Phys. Rev. Lett. 86, 2427 (2001).
47. K. K. Likharev, Pis'ma Zh. Tekh. Fiz. 2, 29 (1976) [Sov. Tech. Phys. Lett. 2 12 (1976)].
48. A. D. Zaikin and G. F. Zharkov, Fiz. Nizk. Temp. 7, 375 (1981) [Sov. J. Low Temp. Phys. 7, 184 (1981)].
49. "Uncorrelated" means in this context that no microscopic correlation between the different Cooper pairs crossing the junction exist. The transport is, however, still coherent in the sense that each Cooper pair keeps its internal correlation while traveling the junction. Furthermore, the phases of the reservoirs are assumed not to fluctuate such that the Cooper pairs are transported with the same macroscopic phase and hence add up to a macroscopic steady supercurrent.
50. F. Zhou, B. Spivak, and A. Zyuzin, Phys. Rev. B 52, 4467 (1995).
51. M. A. Sillanpää, T. T. Heikkilä, R. K. Lindell, and P. J. Hakonen, Europhys. Lett. 56, 590 (2001).