TITLE:
The Magnetic Field Distribution of Type II Superconductors Based on the Modified GL Equations
AUTHORS:
Ruiqi Huang, Weilong She
KEYWORDS:
Modified GL Equations, Vortex Lattice
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.4,
April
13,
2016
ABSTRACT: The standard Ginzburg-Landau
(GL) equations are only valid in the vicinity of the critical temperature. Based
on the Eilenberger equations for a single band and s-wave superconductor, we
derive a modified version of the standard GL equations to improve the applicability of the
standard formalism at temperature away from the
critical temperature. It is shown that in comparison
with previous studies, our method is more convenient to calculate and our
modified equations are also compatible with a dirty superconductor. To
illustrate the usefulness of our formalism, we solve the modified equations
numerically and give the magnetic field distribution in the mixed state at any temperature. The results show that the vortex lattice could be still
observed even away from the critical temperature (e.g., T/Tc = 0.3).