Effect of spin-orbit impurity scattering in the superconducting state of t-J model

Journal of the Physical Society of Japan

Volumn 70, Issue 4, 2001, Pages 1075-1079

  Yagi, Toshifumi ^a   Kuboki, Kazuhiro ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Bogoliubov de Gennes equation; d wave superconductivity; Magnetic impurity; Spin current; t J model

Indexed keywords

EID: 0035606560     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.1075     Document Type: Article

References (29)

1. D. Scalapino: Phys. Rep. 250 (1995) 329.
2. P. W. Anderson: Science 235 (1987) 1196.
3. F. C. Zhang and T. M. Rice: Phys. Rev. B 37 (1988) 3759.
4. Y. Suzumura, Y. Hasegawa and H. Fukuyama: J. Phys. Soc. Jpn. 57 (1988) 580.
5. G. Kotliar and J. Liu: Phys. Rev. B 38 (1988) 5142.
6. T. Tanamoto, K. Kuboki and H. Fukuyama: J. Phys. Soc. Jpn. 60 (1991) 3072.
7. H. Fukuyama, H. Kohno, B. Normand and T. Tanamoto: J. Low Temp. Phys. 99 (1995) 429.
8. N. Nagaosa and P. A. Lee: Phys. Rev. Lett. 64 (1990) 2450; P. A. Lee and N. Nagaosa: Phys. Rev. B 46 (1992) 5621.
9. N. Nagaosa and P. A. Lee: Phys. Rev. Lett. 64 (1990) 2450; P. A. Lee and N. Nagaosa: Phys. Rev. B 46 (1992) 5621.
10. H. Tanaka, K. Kuboki and M. Sigrist: Int. J. Mod. Phys. 24 (1998) 2447: K. Kuboki, H. Tanaka and M. Sigrist: Physica B 259-261 (1999) 460.
11. H. Tanaka, K. Kuboki and M. Sigrist: Int. J. Mod. Phys. 24 (1998) 2447: K. Kuboki, H. Tanaka and M. Sigrist: Physica B 259-261 (1999) 460.
12. H. Tsuchiura, Y. Tanaka, M. Ogata and S. Kashiwaya: J. Phys. Soc. Jpn. 68 (1999) 2510.
13. J-X. Zhu, T. K. Lee, C. S. Ting and C-R. Hu: Phys. Rev. B 61 (2000) 8667.
14. D. Poilblanc, D. J. Scalapino and W. Hanke: Phys. Rev. B 50 (1994) 13020.
15. In this sense the slave-boson MFA at T = 0 s essentially equivalent to the Gutzwiller approximation, except the differences in renormalization factors.
16. See e.g., P. G. de Gennes: Superconductivity of Metals and Alloys (Addison-Wesley, 1989).
17. For numerical diagonalization of matrices we have used the computer program written by H. Nishimori; TITPACK version2.
18. The effect of magnetic impurities in d-wave superconductors was also studied in, M. I. Salkola, A. V. Balatsky and J. R. Schrieffer: Phys. Rev. B 55 (1997) 12648; H. Tsuchiura, Y. Tanaka, M. Ogata and S. Kashiwaya: Phys. Rev. Lett. 84 (2000) 3165.
19. The effect of magnetic impurities in d-wave superconductors was also studied in, M. I. Salkola, A. V. Balatsky and J. R. Schrieffer: Phys. Rev. B 55 (1997) 12648; H. Tsuchiura, Y. Tanaka, M. Ogata and S. Kashiwaya: Phys. Rev. Lett. 84 (2000) 3165.
20. z) vanishes for the doping rate used in this paper if the system is homogeneous.
21. For a review see M. Sigrist and K. Ueda: Rev. Mod. Phys. 63 (1991) 239.
22. K. Kuboki: J. Phys. Soc. Jpn. 68 (1999) 3150.
23. A. V. Balatsky: Phys. Rev. Lett. 80 (1998) 1972.
24. M. J. Graf, A. V. Balatsky and J. A. Sauls: Phys. Rev. B 61 (2000) 3255.
25. M. E. Simon and C. M. Varma: Phys. Rev. B 60 (1999) 9744.
26. K. Yosida: Theory of Magnetism (Springer, Berlin, 1996)
27. Impurity induced spontaneous current can also occur in chiral superconducting states; Y. Okuno, M. Matsumoto and M. Sigrist: J. Phys. Soc. Jpn. 68 (1999) 3054.
28. xy)-wave in contrast to refs. 20-22.
29. imp would be fixed to the z-axis.