Transitions between different superconducting states in mesoscopic disks

TL;DR

This paper investigates the stability and transitions of vortex states in thin mesoscopic superconducting disks using numerical solutions of Ginzburg-Landau equations and an extended London approximation.

Contribution

It introduces a combined numerical approach to analyze vortex stability and state transitions in mesoscopic disks, extending existing models.

Findings

Calculated vortex expulsion and penetration fields for finite thickness disks.

Identified free energy behaviors during transitions between vortex states.

Provided insights into the stability of giant-vortex configurations.

Abstract

Using a linear analysis, we study the stability of giant-vortex states in very thin disks. The vortex expulsion and penetration fields are obtained for finite thickness disks from a numerical solution of the non-linear Ginzburg-Landau (GL) equations. Using an extension of the London approximation, in which the phase distribution of the order parameter is prescribed and the superconducting electron density is found numerically, we consider the free energy behavior for transitions between different superconducting states.