T. Nishio et H. Ebisawa, ON THE DYNAMICS OF THE SUPERCONDUCTING ORDER-PARAMETER UNDER A MAGNETIC-FIELD IN THE QUANTIZATION REGIME OF A 2-DIMENSIONAL SYSTEM, Physica. C, Superconductivity, 267(1-2), 1996, pp. 119-126
The time-dependent Ginzburg-Landau equation for the superconducting or
der parameter and its dynamics is presented explicitly in a proper for
mula taking account of the Landau quantization. The equation is reduce
d continuously to the result derived by Abrahams and Tsuneto for the l
imit of a weak magnetic field. The equation shows a periodic oscillati
on with 1/H for the transition temperature T-cH and far the imaginary
part of the relaxation time which is quite important for transport phe
nomena, This is shown to be due to a breaking of the time-reversal sym
metry by a magnetic field.