Taking into account Abrikosov vortices in numerical solution of Ginzburg-Landau equations

Abstract

Abstract The method is described to take into account the Abrikosov vortices in numerical study of superconducting quantum state in the framework of Ginzburg-Landau equations. The main idea is based on explicit extraction of the solution component related to the vortices. Such approach can be especially useful to study problems with fixed vortex positions.