Numerical solution of Maxwell equations for s-wave superconductors

TL;DR

This paper presents numerical solutions to Maxwell's equations in s-wave superconductors, revealing how electric and magnetic fields influence superconductivity and critical magnetic fields, with implications for experimental testing.

Contribution

It provides the first detailed numerical analysis of electrodynamics in s-wave superconductors considering both electric and magnetic fields in a half-plane geometry.

Findings

Electric field decreases Ginzburg-Landau coherence length

Magnetic field increases coherence length and suppresses superconductivity

Electric field increases critical magnetic field at low temperatures

Abstract

We report the numerical solutions of the system of equations, which describes the electrodynamics of s-wave superconductors, for time independent fields and half-plane superconductor geometry. The results are: i)the applied magnetic field increases the Ginzburg-Landau (GL) coherence length and suppresses the superconductivity, ii)the applied electric field decreases GL coherence length and supports the superconductivity, iii) if the applied magnetic field is fixed and the applied electric field increases the London penetration depth of the magnetic field decreases. The main conclusion is that applying electric field at very low temperature one increases the critical magnetic field. This result is experimentally testable.