Impurity effect on Kramer-Pesch core shrinkage in s-wave vortex and chiral p-wave vortex

Journal of Low Temperature Physics

Volumn 139, Issue 1, 2005, Pages 79-96

  Hayashi, Nobuhiko ^a   Kato, Yusuke ^b   Sigrist, Manfred ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GREEN'S FUNCTION; IMPURITIES; LOW TEMPERATURE EFFECTS; QUANTUM THEORY; SHRINKAGE; VORTEX FLOW;

IMPURITY EFFECT; KRAMER-PESCH EFFECT; TEMPERATURE DEPENDENCE; VORTEX CORE;

SUPERCONDUCTING MATERIALS;

EID: 19844380285     PISSN: 00222291     EISSN: 15737357     Source Type: Journal    
DOI: 10.1007/s10909-005-3914-3     Document Type: Article

References (88)

1. E. H. Brandt, J. Vanacken, and V. V. Moshchalkov, Physica C 369 , 1 (2002);
2. G. E. Volovik, J. Low Temp. Phys. 121 357 (2000).
3. M. M. Salomaa and G. E. Volovik, Rev. Mod. Phys. 59, 533 (1987).
4. G. Blatter, M. V. Feigel'man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994).
5. E. H. Brandt, Rep. Prog. Phys. 58, 1465 (1995).
6. L. Kramer and W. Pesch, Z. Phys. 269, 59 (1974).
7. S. G. Doettinger, R. P. Huebener, and S. Kittelberger, Phys. Rev. B 55, 6044 (1997).
8. C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).
9. H. F. Hess et al., Phys. Rev. Lett. 62, 214 (1989);
10. H. F. Hess et al., Phys. Rev. Lett. 64, 2711 (1990);
11. Ch. Renner et al., Phys. Rev. Lett. 67, 1650 (1991).
12. F. Gygi and M. Schlüter, Phys. Rev. B 43, 7609 (1991).
13. N. Schopohl and K. Maki, Phys. Rev. B 52, 490 (1995).
14. D. Rainer, J. A. Sauls, and D. Waxman, Phys. Rev. B 54, 10094 (1996).
15. N. Hayashi, M. Ichioka, and K. Machida, Phys. Rev. Lett. 77, 4074 (1996);
16. N. Hayashi, M. Ichioka, and K. Machida, Phys. Rev. B 56, 9052 (1997);
17. N. Hayashi, M. Ichioka, and K. Machida, J. Phys. Soc. Jpn. 67 , 3368 (1998), eprint cond-mat/9807253.
18. Y. Tanaka, A. Hasegawa, and H. Takayanagi, Solid State Commun. 85, 321 (1993);
19. S. M. M. Virtanen and M. M. Salomaa, Phys. Rev. B 60, 14581 (1999);
20. S. M. M. Virtanen and M. M. Salomaa, Physica B 284-288, 741 (2000).
21. G. E. Volovik, JETP Lett. 58, 455 (1993).
22. W. Pesch and L. Kramer, J. Low Temp. Phys. 15, 367 (1974);
23. L. Kramer, W. Pesch, and R. J. Watts-Tobin, J. Low Temp. Phys. 14, 29 (1974).
24. E. H. Brandt, Phys. Status Solidi B 77, 105 (1976); see also Sec. 1.4 of Ref. 4.
25. J. Rammer, W. Pesch, and L. Kramer, Z. Phys. B: Condens. Matter 68, 49 (1987).
26. M. Ichioka, N. Hayashi, N. Enomoto, and K. Machida, Phys. Rev. B 53, 15316 (1996).
27. A. P. Volodin, A. A. Golubov, and J. Aarts, Z. Phys. B 102, 317 (1997); an experimental result by STM is also given therein.
28. N. Hayashi, T. Isoshima, M. Ichioka, and K. Machida, Phys. Rev. Lett. 80, 2921 (1998).
29. M. Kato and K. Maki, Prog. Theor. Phys. 103, 867 (2000), eprint cond-mat/0004370.
30. M. Kato and K. Maki, Europhys. Lett. 54, 800 (2001);
31. M. Kato and K. Maki, Prog. Theor. Phys. 107, 941 (2002);
32. M. Kato and K. Maki, Physica B 312-313, 47 (2002); eprint cond-mat/0011173; the temperature dependence of the vortex core radius is investigated therein for the d-wave superconductors in the quantum limit.
33. Y. Kato and N. Hayashi, J. Phys. Soc. Jpn. 70, 3368 (2001), eprint cond-mat/0107517.
34. Ø. Elgarøy, eprint cond-mat/0111440; N. Nygaard, G. M. Bruun, C. W. Clark, and D. L. Feder, Phys. Rev. Lett. 90, 210402 (2003).
35. F.V. de Blasio and Ø. Elgarøy, Phys. Rev. Lett. 82, 1815 (1999);
36. Ø. Elgarøy and F. V. de Blasio, Astron. Astrophys. 370, 939 (2001), eprint astro-ph/0102343.
37. For a latest review, J. E. Sonier, J. Phys.: Condens. Matter 16 , S4499 (2004), eprint cond-mat/0404115.
38. Yu. N. Ovchinnikov, Z. Phys. B 27, 239 (1977).
39. J. E. Sonier, J. H. Brewer, and R. F. Kiefl, Rev. Mod. Phys. 72 , 769 (2000).
40. J. E. Sonier et al. ,Phys. Rev. Lett. 79, 2875 (1997).
41. R. I. Miller et al., Phys. Rev. Lett. 85, 1540 (2000).
42. A. Yaouanc, P. Dalmas de Réotier, and E. H. Brandt, Phys. Rev. B 55, 11107 (1997).
43. R. Kadono et al., Phys. Rev. B 63, 224520 (2001).
44. A. A. Golubov and U. Hartmann, Phys. Rev. Lett. 72, 3602 (1994).
45. M. Ichioka, A. Hasegawa, and K. Machida, Phys. Rev. B 59, 184 (1999);
46. M. Ichioka, A. Hasegawa, and K. Machida, Phys. Rev. B 59, 8902 (1999).
47. P. Miranović, M. Ichioka, and K. Machida, Phys. Rev. B 70 , 104510 (2004).
48. V. G. Kogan and N. V. Zhelezina, eprint cond-mat/0407673.
49. J. E. Sonier et al., Phys. Rev. Lett. 79, 1742 (1997);
50. J. E. Sonier et al., Phys. Rev. Lett. 93, 017002 (2004).
51. M. Fogelström and J. Kurkijärvi, J. Low Temp. Phys. 98 , 195 (1995).
52. R. Kadono et al., Phys. Rev. B 69, 104523 (2004);
53. M. Takigawa, M. Ichioka, and K. Machida, J. Phys. Soc. Jpn. 73 , 450 (2004), eprint cond-mat/0303541.
54. A. E. Koshelev and A. A. Golubov, Phys. Rev. Lett. 90, 177002 (2003).
55. N. Hayashi, Y. Kato, and M. Sigrist, in preparation.
56. T. M. Rice and M. Sigrist, J. Phys.: Condens. Matter 7, L643 (1995);
57. M. Sigrist et al., Physica C 317-318, 134 (1999).
58. A. P. Mackenzie and Y. Maeno, Rev. Mod. Phys. 75, 657 (2003).
59. G. E. Volovik, JETP Lett. 70, 609 (1999); eprint cond-mat/ 9709159.
60. Y. Kato, J. Phys. Soc. Jpn. 69, 3378 (2000), eprint cond-mat/ 0009296.
61. Y. Kato and N. Hayashi, J. Phys. Soc. Jpn. 71, 1721 (2002), eprint cond-mat/0203271.
62. N. Hayashi and Y. Kato, Physica C 367, 41 (2002);
63. N. Hayashi and Y. Kato, Phys. Rev. B 66, 132511 (2002).
64. N. Hayashi and Y. Kato, J. Low Temp. Phys. 130, 193 (2003), eprint cond-mat/0210642.
65. Y. Kato and N. Hayashi, Physica C 388-389, 519 (2003).
66. M. Matsumoto and M. Sigrist, Physica B 281-282, 973 (2000).
67. M. Matsumoto and R. Heeb, Phys. Rev. B 65, 014504 (2002).
68. R. Heeb and D. F. Agterberg, Phys. Rev. B 59, 7076 (1999).
69. A. Tanaka and X. Hu, Phys. Rev. Lett. 91, 257006 (2003).
70. Q. Han, Z. D. Wang, Q.-H. Wang, and T. Xia, Phys. Rev. Lett. 92 , 027004 (2004).
71. G. Eilenberger, Z. Phys. 214, 195 (1968);
72. A. I. Larkin and Yu. N. Ovchinnikov, Zh. Éksp. Teor. Fiz. 55 , 2262 (1968), [Sov. Phys. JETP 28, 1200 (1969)];
73. J.W. Serene and D. Rainer, Phys. Rep. 101, 221 (1983).
74. H. Kusunose, Phys. Rev. B 70, 054509 (2004); the derivation of the quasiclassical equations is coneisely summarised therein.
75. E. V. Thuneberg, J. Kurkijärvi, and D. Rainer, Phys. Rev. B 29, 3913 (1984);
76. E. V. Thuneberg, J. Kurkijärvi, and D. Rainer, J. Phys. C: Solid State Phys. 14, 5615 (1981).
77. N. Schopohl, eprint cond-mat/9804064.
78. M. Eschrig, Ph.D. Thesis, University of Bayreuth, 1997; H. Eschrig, Optimized LCAO Method and the Electronic Structure of Extended Systems (Springer-Verlag, Berlin, 1989), Sec. 7.4.
79. M. Tinkham, Introduction to Superconductivity, 2nd Ed. (McGraw-Hill, New York, 1996).
80. D. F. Agterberg, T. M. Rice, and M. Sigrist, Phys. Rev. Lett. 78, 3374 (1997).
81. H. Kusunose, J. Phys. Soc. Jpn. 73, 2512 (2004), eprint cond-mat/0405631.
82. E. Boaknin et al., Phys. Rev. Lett. 90, 117003 (2003).
83. H. J. Choi et al., Nature 418, 758 (2002);
84. N. Nakai et al., J. Phys. Soc. Jpn. 71, 23 (2002), eprint cond-mat/0111088;
85. S. Tsuda et al., Phys. Rev. Lett. 91, 127001 (2003);
86. T. Dahm and N. Schopohl, Phys. Rev. Lett. 91, 017001 (2003);
87. A. Shibata et al., Phys. Rev. B 68, 060501 (2003);
88. T. Dahm, eprint cond-mat/0410158.