---

Prog. Theor. Phys. Vol. 68 No. 2 (1982) pp. 426-438

Anderson Localization and Ginzburg-Landau Equations in Two-Dimensional Superconductors

Haruo Takagi, Ryūtarō Souda and Yoshihiro Kuroda

Department of Physics, Nagoya University, Nagoya 464

(Received March 31, 1982)

Abstract:

Effects of the Anderson localization on the Ginzburg-Landau equations in two-dimensional superconductors are examined. The renormalization effects of the electron-electron interaction by the impurity potential lead logarithmic temperature dependences in the coefficients of the Ginzburg-Landau equations. By using these results, temperature dependences in the energy gap |Δ|, the number density of the superconducting electrons n_s and the upper critical field H_c2 are also discussed.

URL : http://ptp.ipap.jp/link?PTP/68/426/
DOI : 10.1143/PTP.68.426

[ Full Text PDF : FREE ACCESS (450K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. E. Abraham, P. W. Anderson, D. C. Licciardello and T. V. Ramakrishnan, Phys. Rev. Lett. 42 (1979), 673[APS].
2. L. P. Gorkov, A. I. Larkin and D. E. Khmel'nitzkii, JETP Lett. 44 (1979), 248.
3. B. L. Altshuler, A. G. Aronov and P. A. Lee, Phys. Rev. Lett. 44 (1980), 1288[APS].
   B. L. Altshuler, D. Khmel'nitzkii, A. I. Larkin and P. A. Lee, Phys. Rev. B 22 (1980), 5142[APS].
4. H. Fukuyama, J. Phys. Soc. Jpn. 48 (1980), 2169[JPSJ].
5. S. Maekawa aned H. Fukuyama, Proceedings of the 16th International Conference on Low Temperature Physics [Physica B+C 107 (1981), 123[CrossRef]].
6. H. Takagi and Y. Kuroda, Solid State Commun. 41 (1982), 643[CrossRef].
   This work shows that contrary to the results given in Ref. 5), the pair-breaking terms do not contribute appreciably to the corrections in T_c. A similar study was also done independently by S. Maekawa and H. Fukuyama, J. Phys. Soc. Jpn. 51 (1982), 1380[JPSJ].
7. P. W. Anderson, J. Phys. Chem. Solids 11 (1959), 26[CrossRef].
8. L. P. Gorkov, Sov. Phys. -JETP 10 (1960), 998.
9. K. Maki, Superconductivity, edited by R. D. Parks (Dekker, New York, 1969), vol. 2, p. 1035.
10. M. Tinkham, Introduction to Superconductivity (McGraw Hill, 1975), p. 129.
11. A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinski, Method of Quantum Field Theory in Statistical Physics (English translation, Prentice-Hall, 1963), p. 313.

Citing Article(s) :

1. Journal of the Physical Society of Japan 67 (1998) pp. 983-995 :

   Ginzburg-Landau Functional in Strong Fields of Disordered Superconducting Films with Repulsive Interaction

   Hideharu Ishida and Ryusuke Ikeda

2. Progress of Theoretical Physics Vol. 69 No. 6 (1983) pp. 1677-1685 :

   Anderson Localization and Energy Gap in Two-Dimensional Superconductors

   Haruo Takagi and Yoshihiro Kuroda

3. Progress of Theoretical Physics Supplement No.84 (1985) pp. 154-165 :

   Localization and Superconductivity

   Sadamichi Maekawa, Hiromichi Ebisawa and Hidetoshi Fukuyama

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.