Density of states and supercurrent in diffusive SNS junctions: Roles of nonideal interfaces and spin-flip scattering

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 6, 2007, Pages

  Hammer, J C ^a,b   Cuevas, J C ^b,c,d   Bergeret, F S ^c   Belzig, W ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^d KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548027748     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.064514     Document Type: Article

References (43)

1. P. G. de Gennes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.36. 225 36, 225 (1964).
2. B. Pannetier and H. Courtois, J. Low Temp. Phys. JLTPAC 0022-2291 188, 599 (2000).
3. S. Guéron, H. Pothier, N. O. Birge, D. Esteve, and M. H. Devoret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3025 77, 3025 (1996).
4. N. Moussy, H. Courtois, and B. Pannetier, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00361-2 55, 861 (2001).
5. H. Courtois, P. Charlat, Ph. Gandit, D. Mailly, and B. Pannetier, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1021885617107 116, 187 (1999).
6. P. Dubos, H. Courtois, B. Pannetier, F. K. Wilkhelm, A. D. Zaikin, and G. Schön, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.064502 63, 064502 (2001).
7. K. D. Usadel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.25. 507 25, 507 (1970).
8. A. F. Andreev, Sov. Phys. JETP SPHJAR 0038-5646 19, 1228 (1964).
9. W. L. McMillan, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.175.537 175, 537 (1968).
10. A. A. Golubov and M. Yu. Kupriyanov, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00683247 70, 83 (1988);
11. A. A. Golubov and M. Yu. Kupriyanov, JETP Lett. JTPLA2 0021-3640 61, 830 (1995).
12. W. Belzig, C. Bruder, and G. Schön, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.9443 54, 9443 (1996).
13. F. Zhou, P. Charlat, B. Spivak, and B. Pannetier, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022628927203 110, 841 (1998).
14. D. A. Ivanov, R. von Roten, and G. Blatter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.052507 66, 052507 (2002).
15. B. Crouzy, E. Bascones, and D. A. Ivanov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.092501 72, 092501 (2005).
16. E. Scheer, W. Belzig, Y. Naveh, M. H. Devoret, D. Esteve, and C. Urbina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.284 86, 284 (2001).
17. G. Rubio-Bollinger, C. de las Heras, E. Bascones, N. Agraït, F. Guinea, and S. Vieira, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.121407 67, 121407 (R) (2003).
18. J. Clarke, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 308, 447 (1969).
19. J. G. Shepherd, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 326, 421 (1972).
20. J. Warlaumont, J. C. Brown, and R. A. Buhrman, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.90818 34, 415 (1979).
21. R. B. van Dover, A. de Lozanne, and M. R. Beasley, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.328724 52, 7327 (1981).
22. K. K. Likharev, Sov. Tech. Phys. Lett. STPLD2 0360-120X 2, 12 (1976).
23. A. D. Zaikin and G. F. Zharkov, Sov. J. Low Temp. Phys. SJLPDQ 0360-0335 7, 184 (1981).
24. M. Yu. Kupriyanov and V. F. Lukichev, Sov. Phys. JETP SPHJAR 0038-5646 67, 1163 (1988).
25. A. F. Volkov, A. V. Zaitsev, and T. M. Klapwijk, Physica C PHYCE6 0921-4534 10.1016/0921-4534(93)90005-B 210, 21 (1993).
26. For a complete list of references, see A. A. Golubov, M. Yu. Kupriyanov, and E. Il'ichev, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.411 76, 411 (2004).
27. T. T. Heikkilä, J. Särkkä, and F. K. Wilhelm, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.184513 66, 184513 (2002).
28. H. le Sueur, P. Joyez, H. Pothier, C. Urbina, and D. Esteve (unpublished).
29. A. Abrikosov, L. Gor'kov, and I. Y. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics (Pergamon, New York, 1965).
30. K. Maki, Superconductivity (Dekker, New York, 1966), Vol. II.
31. S. Yip, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.15504 52, 15504 (1995).
32. T. Yokoyama, Y. Tanaka, A. A. Golubov, J. Inoue, and Y. Asano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.094506 71, 094506 (2005).
33. A. Anthore, H. Pothier, and D. Esteve, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.127001 90, 127001 (2003).
34. L. Angers, F. Chiodi, J. C. Cuevas, G. Montambaux, M. Ferrier, S. Guéron, and H. Bouchiat (unpublished).
35. A. I. Larkin and Yu. N. Ovchinnikov, in Nonequilibrium Superconductivity, edited by, D. N. Langenberg, and, A. I. Larkin, (Elsevier, Amsterdam, 1986), p. 493.
36. W. Belzig, F. K. Wilhelm, C. Bruder, G. Schön, and A. D. Zaikin, Superlattices Microstruct. SUMIEK 0749-6036 10.1006/spmi.1999.0710 25, 1251 (1999).
37. J. W. Serene and D. Rainer, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(83)90051-0 101, 221 (1983).
38. M. Eschrig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.9061 61, 9061 (2000).
39. J. C. Cuevas, J. C. Hammer, J. Kopu, J. K. Viljas, and M. Eschrig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.184505 73, 184505 (2006).
40. M. Eschrig, J. Kopu, A. Konstandin, J. C. Cuevas, M. Fogelström, and G. Schön, Adv. Solid State Phys. FSTKA2 0430-3393 44, 533 (2004).
41. Yu. V. Nazarov, Superlattices Microstruct. SUMIEK 0749-6036 10.1006/spmi.1999.0738 25, 121 (1999).
42. J. Kopu, M. Eschrig, J. C. Cuevas, and M. Fogelström, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.094501 69, 094501 (2004).
43. W. H. Press, Numerical Recipes (Cambridge University Press, 1992).