Vortices in a mesoscopic superconducting circular sector
Edson Sardella, Paulo Noronha Lisboa-Filho, Andre Luiz Malvezzi
TL;DR
This paper introduces an algorithm based on link variables to solve TDGL equations in circular geometries, enabling analysis of vortex behavior, magnetic transitions, and energy states in mesoscopic superconductors.
Contribution
The paper develops a novel algorithm for solving TDGL equations in circular sectors, allowing detailed study of vortex nucleation and magnetic properties in such geometries.
Findings
Identified vortex nucleation patterns in circular sectors
Analyzed superconductor-normal magnetic field transition
Evaluated energy and magnetization in mesoscopic superconductors
Abstract
In the present paper we develop an algorithm to solve the time dependent Ginzburg-Landau (TDGL) equations, by using the link variables technique, for circular geometries. In addition, we evaluate the Helmholtz and Gibbs free energy, the magnetization, and the number of vortices. This algorithm is applied to a circular sector. We evaluate the superconduting-normal magnetic field transition, the magnetization, and the superconducting density. Furthermore, we study the nucleation of giant and multi-vortex states for that geometry.
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