Proximity effect in ferromagnet/superconductor hybrids: From diffusive to ballistic motion

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 6, 2009, Pages

  Linder, Jacob ^a   Zareyan, Malek ^b   Sudbø, Asle ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 62549141047     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.064514     Document Type: Article

References (66)

1. F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Rev. Mod. Phys. 77, 1321 (2005). 10.1103/RevModPhys.77.1321
2. A. I. Buzdin, Rev. Mod. Phys. 77, 935 (2005). 10.1103/RevModPhys.77.935
3. Yu. A. Izyumov, Yu. N. Proshin, and M. G. Khusainov, Phys. Usp. 45, 109 (2002). 10.1070/PU2002v045n02ABEH001025
4. M. L. Kulić and I. M. Kulić, Phys. Rev. B 63, 104503 (2001). 10.1103/PhysRevB.63.104503
5. F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. Lett. 86, 3140 (2001). 10.1103/PhysRevLett.86.3140
6. I. Eremin, F. S. Nogueira, and R.-J. Tarento, Phys. Rev. B 73, 054507 (2006). 10.1103/PhysRevB.73.054507
7. Y. Zhao and R. Shen, Phys. Rev. B 73, 214511 (2006). 10.1103/PhysRevB.73. 214511
8. M. S. Grønsleth, J. Linder, J.-M. Børven, and A. Sudbø, Phys. Rev. Lett. 97, 147002 (2006) 10.1103/PhysRevLett.97.147002
9. J. Linder, M. S. Grønsleth, and A. Sudbø, Phys. Rev. B 75, 024508 (2007). 10.1103/PhysRevB.75.024508
10. Y. Asano, Phys. Rev. B 74, 220501 (R) (2006). 10.1103/PhysRevB.74.220501
11. P. M. R. Brydon, B. Kastening, D. K. Morr, and D. Manske, Phys. Rev. B 77, 104504 (2008). 10.1103/PhysRevB.77.104504
12. T. Champel, T. Löfwander, and M. Eschrig, Phys. Rev. Lett. 100, 077003 (2008). 10.1103/PhysRevLett.100.077003
13. A. Brataas and Y. Tserkovnyak, Phys. Rev. Lett. 93, 087201 (2004). 10.1103/PhysRevLett.93.087201
14. D. Huertas-Hernando, Yu. V. Nazarov, and W. Belzig, Phys. Rev. Lett. 88, 047003 (2002). 10.1103/PhysRevLett.88.047003
15. F. Giazotto and F. Taddei, Phys. Rev. B 77, 132501 (2008). 10.1103/PhysRevB.77.132501
16. J. Linder, T. Yokoyama, Y. Tanaka, and A. Sudbø, Phys. Rev. B 78, 014516 (2008). 10.1103/PhysRevB.78.014516
17. K. Usadel, Phys. Rev. Lett. 25, 507 (1970). 10.1103/PhysRevLett.25.507
18. G. Eilenberger, Z. Phys. 214, 195 (1968). 10.1007/BF01379803
19. F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. B 65, 134505 (2002). 10.1103/PhysRevB.65.134505
20. F. S. Bergeret, A. F. Volkov, and K. B. Efetov, Phys. Rev. B 64, 134506 (2001). 10.1103/PhysRevB.64.134506
21. M. Zareyan, W. Belzig, and Yu. V. Nazarov, Phys. Rev. B 65, 184505 (2002) 10.1103/PhysRevB.65.184505
22. M. Zareyan, W. Belzig, and Yu. V. Nazarov, Phys. Rev. Lett. 86, 308 (2001). 10.1103/PhysRevLett.86.308
23. J. Kopu, M. Eschrig, J. C. Cuevas, and M. Fogelström, Phys. Rev. B 69, 094501 (2004). 10.1103/PhysRevB.69.094501
24. K. Halterman, O. T. Valls, and P. H. Barsic, Phys. Rev. B 77, 174511 (2008) 10.1103/PhysRevB.77.174511
25. K. Halterman, P. H. Barsic, and O. T. Valls, Phys. Rev. Lett. 99, 127002 (2007) 10.1103/PhysRevLett.99.127002
26. K. Halterman and O. T. Valls, Phys. Rev. B 66, 224516 (2002). 10.1103/PhysRevB.66.224516
27. J. Linder and A. Sudbø, Phys. Rev. B 75, 134509 (2007). 10.1103/PhysRevB.75.134509
28. A. I. Buzdin, L. N. Bulaevskii, and S. V. Panyukov, Pis'ma Zh. Eksp. Teor. Fiz. 35, 147 (1982)
29. A. I. Buzdin, L. N. Bulaevskii, and S. V. Panyukov, [JETP Lett. 35, 178 (1982)].
30. M. Fogelström, Phys. Rev. B 62, 11812 (2000). 10.1103/PhysRevB.62. 11812
31. N. M. Chtchelkatchev, W. Belzig, Yu. V. Nazarov, and C. Bruder, JETP Lett. 74, 323 (2001).
32. I. V. Bobkova and Yu. S. Barash, Phys. Rev. B 71, 144510 (2005). 10.1103/PhysRevB.71.144510
33. P. SanGiorgio, S. Reymond, M. R. Beasley, J. H. Kwon, and K. Char, Phys. Rev. Lett. 100, 237002 (2008). 10.1103/PhysRevLett.100.237002
34. N. Schopohl and K. Maki, Phys. Rev. B 52, 490 (1995) 10.1103/PhysRevB.52. 490
35. N. Schopohl, arXiv:cond-mat/9804064 (unpublished).
36. A. V. Zaitsev, Sov. Phys. JETP 59, 1163 (1984).
37. C.-R. Hu, Phys. Rev. Lett. 72, 1526 (1994) 10.1103/PhysRevLett.72.1526
38. J. Yang and C.-R. Hu, Phys. Rev. B 50, 16766 (1994). 10.1103/PhysRevB.50. 16766
39. T. Kontos, M. Aprili, J. Lesueur, and X. Grison, Phys. Rev. Lett. 86, 304 (2001). 10.1103/PhysRevLett.86.304
40. Y. Tanaka, A. A. Golubov, S. Kashiwaya, and M. Ueda, Phys. Rev. Lett. 99, 037005 (2007). 10.1103/PhysRevLett.99.037005
41. T. Yokoyama, Y. Tanaka, and A. A. Golubov, Phys. Rev. B 78, 012508 (2008). 10.1103/PhysRevB.78.012508
42. V. L. Berezinskii, JETP Lett. 20, 287 (1974).
43. E. Abrahams, A. Balatsky, D. J. Scalapino, and J. R. Schrieffer, Phys. Rev. B 52, 1271 (1995). 10.1103/PhysRevB.52.1271
44. J. Linder, T. Yokoyama, and A. Sudbø, Phys. Rev. B 77, 174507 (2008). 10.1103/PhysRevB.77.174507
45. Ya. V. Fominov, JETP Lett. 86, 732 (2007).
46. J. Linder, T. Yokoyama, Y. Tanaka, Y. Asano, and A. Sudbø, Phys. Rev. B 77, 174505 (2008). 10.1103/PhysRevB.77.174505
47. I. Baladie and A. Buzdin, Phys. Rev. B 64, 224514 (2001). 10.1103/PhysRevB.64.224514
48. J. Linder, T. Yokoyama, and A. Sudbø, Phys. Rev. B 77, 174514 (2008). 10.1103/PhysRevB.77.174514
49. W. J. Tomasch, Phys. Rev. Lett. 15, 672 (1965). 10.1103/PhysRevLett.15. 672
50. S. Pilgram, W. Belzig, and C. Bruder, Phys. Rev. B 62, 12462 (2000). 10.1103/PhysRevB.62.12462
51. A. Buzdin, Phys. Rev. B 62, 11377 (2000). 10.1103/PhysRevB.62.11377
52. W. Belzig, C. Bruder, and G. Schön, Phys. Rev. B 54, 9443 (1996). 10.1103/PhysRevB.54.9443
53. W. Belzig, F. K. Wilhelm, C. Bruder, G. Schön, and A. D. Zaikin, Superlattices Microstruct. 25, 1251 (1999). 10.1006/spmi.1999.0710
54. F. Konschelle, J. Cayssol, and A. I. Buzdin, Phys. Rev. B 78, 134505 (2008). 10.1103/PhysRevB.78.134505
55. R. Zikic, L. Dobrosavljević-Grujić, and B. Vujičić, Phys. Rev. B 79, 052503 (2009). 10.1103/PhysRevB.79. 052503
56. L. R. Tagirov, Physica C 307, 145 (1998) 10.1016/S0921-4534(98)00389-X
57. L. R. Tagirov, Phys. Rev. Lett. 83, 2058 (1999). 10.1103/PhysRevLett.83. 2058
58. A. Yu. Rusanov, S. Habraken, and J. Aarts, Phys. Rev. B 73, 060505 (R) (2006). 10.1103/PhysRevB.73.060505
59. I. C. Moraru, W. P. Pratt, Jr., and N. O. Birge, Phys. Rev. Lett. 96, 037004 (2006). 10.1103/PhysRevLett.96.037004
60. I. C. Moraru, W. P. Pratt, Jr., and N. O. Birge, Phys. Rev. B 74, 220507 (R) (2006). 10.1103/PhysRevB.74.220507
61. A. I. Buzdin, A. V. Vedyayev, and N. V. Ryzhanova, Europhys. Lett. 48, 686 (1999). 10.1209/epl/i1999-00539-0
62. Ya. V. Fominov, N. M. Chtchelkatchev, and A. A. Golubov, Phys. Rev. B 66, 014507 (2002). 10.1103/PhysRevB.66.014507
63. T. Löfwander, T. Champel, and M. Eschrig, Phys. Rev. B 75, 014512 (2007). 10.1103/PhysRevB.75.014512
64. P. Cadden-Zimansky, Ya. B. Bazaliy, L. M. Litvak, J. S. Jiang, J. Pearson, J. Y. Gu, Chun-Yeol You, M. R. Beasley, and S. D. Bader, Phys. Rev. B 77, 184501 (2008). 10.1103/PhysRevB.77.184501
65. We have here notations and conventions close to the ones of J. P. Morten, M.Sc. thesis, Norwegian University of Science and Technology, 2003.
66. These in turn are similar to J. W. Serene and D. Rainer, Phys. Rep. 101, 221 (1983). 10.1016/0370-1573(83)90051-0