The behavior of vortex matter in high-temperature superconductors (HTS) controls the entire
electromagnetic response of the material, including its current carrying capacity. Here, we …

Spin-orbit interaction (SOI) plays a key role in creating Majorana zero modes in
semiconductor nanowires proximity coupled to a superconductor. We track the evolution of …

In superconductors, the motion of vortices introduces unwanted dissipation that is disruptive
to applications. Fortunately, material defects can immobilize vortices, acting as vortex …

We propose a finite-difference algorithm for solving the time-dependent Ginzburg–Landau
(TDGL) equation coupled to the appropriate Maxwell equation. The time derivatives are …

In the present paper we solve the time dependent Ginzburg–Landau (TDGL) equations by
using the link variables technique for two shapes of circular geometry, a circular sector and a …

Abstract The time-dependent Ginzburg-Landau equation is solved numerically for type-II
superconductors of complex geometry using the finite element method. The geometry has a …

In this paper, we review various methods for the numerical approximations of the Ginzburg–
Landau models of superconductivity. Particular attention is given to the different treatment of …

By using the full 3D generalized time-dependent Ginzbug-Landau equation, we study a long
superconducting film of finite width and thickness under an applied transport current. We …

The paper focuses on numerical study of the time-dependent Ginzburg–Landau (TDGL)
equations under the Lorentz gauge. The proposed method is based on a fully linearized …

A hierarchy of models for type-II superconductors is presented. Through appropriate
asymptotic limits we pass from the mesoscopic Ginzburg--Landau model to the London …