Solving the Ginzburg-Landau equations with magnetic translation group

Journal of the Physical Society of Japan

Volumn 67, Issue 6, 1998, Pages 2067-2074

  Kita, Takafumi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Abrikosov flux lattice; Ginzburg Landau equations; Magnetic translation group

Indexed keywords

EID: 22044432921     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.2067     Document Type: Article

References (26)

1. A. A. Abrikosov: Zh. Eksp. Teor. Fiz. 32 (1957) 1442
2. [Sov. Phys. JETP 5 (1957) 1174].
3. V. L. Ginzburg and L. D. Landau: Zh. Eksp. Teor. Fiz. 20 (1950) 1064.
4. G. Eilenberger: Z. Phys. 180 (1964) 32.
5. G. Lasher: Phys. Rev. 140 (1965) A523.
6. P. M. Marcus: Proceedings of the Tenth International Conference on Low Temperature Physics, ed. M. P. Malkov et al. (Viniti, Moscow, 1967) Vol. IIA, p. 345.
7. E. H. Brandt: Phys. Status Solidi B 51 (1972) 345.
8. M. M. Doria, J. E. Gubernatis and D. Rainer: Phys. Rev. B 41 (1990) 6335.
9. G. Bruls, D. Weber, B. Wolf, P. Thalmeier, B. Lüthi, A. de Visser and A. Menovsky: Phys. Rev. Lett. 65 (1990) 2294.
10. S. Adenwalla, S. W. Lin, Q. Z. Ran, Z. Zhao, J. B. Ketterson, J. A. Sauls, L. Taillefer, D. G. Hinks, M. Levy and B. K. Sarma: Phys. Rev. Lett. 65 (1990) 2298.
11. See, e.g., A. L. Fetter: Progress in Low Temperature Physics X, ed. D. F. Brewer (North-Holland, Amsterdam, 1986) p. 1.
12. E. Brown: Phys. Rev. 133 (1964) A1038.
13. H. F. Hess, R. B. Robinson, R. C. Dynes, J. M. Valles, Jr. and J. V. Waszczak: Phys. Rev. Lett. 62 (1989) 214.
14. See, e.g., M. Tinkham: Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).
15. G. Eilenberger: Phys. Rev. 153 (1967) 584;
16. G. Eilenberger: Phys. Rev. ibid. 164 (1967) 628.
17. D. Yoshioka, B. I. Halperin and P. A. Lee: Phys. Rev. Lett. 50 (1983) 1219.
18. D. Yoshioka: J. Phys. Soc. Jpn. 55 (1986) 885.
19. M. M. Doria, J. E. Gubernatis and D. Rainer: Phys. Rev. B 39 (1989) 9573.
20. W. H. Kleiner, L. M. Roth and S. H. Autler: Phys. Rev. 133 (1964) A1226.
21. J. C. Ryan and A. K. Rajagopal: Phys. Rev. B 47 (1993) 8843.
22. N1N2 of eq. (B-3).
23. L. D. Landau: Collected Papers of L. D. Landau, ed. D. ter Haar (Gordon and Breach, New York, 1967) p. 193;
24. L. D. Landau and E. M. Lifshitz: Statistical Physics Part 1 (Pergamon, New York, 1980) p. 446.
25. See, e.g., W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery: Numerical Recipes in C (Cambridge University Press, Cambridge, 1988) Chap. 10.
26. J. L. Harden and V. Arp: Cryogenics 3 (1963) 105.