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Prog. Theor. Phys. Vol. 46 No. 4 (1971) pp. 1042-1053

[ Full Text PDF : FREE ACCESS (536K) ]

Wave Character of the Time Dependent Ginzburg Landau Equation and the Fluctuating Pair Propagator in Superconductors

Hiromichi Ebisawa and Hidetoshi Fukuyama*

Department of Physics, University of Tokyo, Tokyo
*Department of Physics, Tohoku University, Sendai

(Received February 24, 1971)

Abstract:

The time dependent Ginzburg Landau equation and the fluctuation propagator of a superconductor in a static electromagnetic field are examined to the next order of the small parameters 1/εFτ and T/εF, where εF is the Fermi energy and τ the relaxation time. The coefficient of the time derivative of the order parameter becomes a complex number, whose imaginary part is of order of T/εF smaller than the real part. This term is shown to be important for Hall effect due to the fluctuation near Tc, which has not been expected in the usual approximation. The argeement cover the cases of arbitrary mean free paths near Tc and of arbitrary temperatures except T≪Tc.


URL : http://ptp.ipap.jp/link?PTP/46/1042/
DOI : 10.1143/PTP.46.1042

[ Full Text PDF : FREE ACCESS (536K) ] Citation:

References:

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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. Journal of the Physical Society of Japan 67 (1998) pp. 3585-3589 :
    Dynamical Induction of s-Wave Component in d-Wave Superconductor Driven by Thermal Fluctuations
    Atsuya Kumagai and Hiromichi Ebisawa
  3. Journal of the Physical Society of Japan 68 (1999) pp. 2999-3015 :
    Theory of Pseudogap Phenomena in High-T c Cuprates Based on the Strong Coupling Superconductivity
    Youichi Yanase and Kosaku Yamada
  4. Journal of the Physical Society of Japan 68 (1999) pp. 3798-3801 :
    Charging Effect on the Hall Conductivity of Single Vortex in Type II Superconductors
    Yusuke Kato
  5. Journal of the Physical Society of Japan 69 (2000) pp. 2209-2220 :
    Effect of Magnetic field on the Pseudogap Phenomena in High-T c Cuprates
    Youichi Yanase and Kosaku Yamada
  6. Journal of the Physical Society of Japan 69 (2000) pp. 3664-3677 :
    Theory on Superconducting Transition from Pseudogap State
    Youichi Yanase, Takanobu Jujo and Kosaku Yamada
  7. Journal of the Physical Society of Japan 70 (2001) pp. 1659-1680 :
    Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-Tc Cuprates
    Youichi Yanase and Kosaku Yamada
  8. Journal of the Physical Society of Japan 71 (2002) pp. 278-292 :
    Theory of Electric Transport in the Pseudogap State of High-Tc Cuprates
    Youichi Yanase
  9. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 1-18 :
    On the Nonperturbational Calculation of Critical Anomalies of Superconductors in External Fields
    Masao Koyanagi

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