Pinning of an Abrikosov vortex on a small cylindrical cavity: A Ginzburg-Landau approach

TL;DR

This paper analytically investigates the pinning of Abrikosov vortices on small cylindrical cavities using Ginzburg-Landau theory, extending electrostatic analogies to derive pinning potentials and depinning currents.

Contribution

It introduces an analytical method for calculating vortex pinning potentials and depinning currents for small defects within the Ginzburg-Landau framework.

Findings

Derived the pinning potential for an elliptic cavity.

Calculated the depinning current for a circular defect.

Extended electrostatic analogy methods to small defect cases.

Abstract

Within the Ginzburg-Landau theory we consider Abrikosov vortex pinning on a columnar defect with the characteristic size of the cross-section much smaller than the coherence length. We present an extension of the electrostatic analogies method, which proved to be useful for calculations of the pinning force for large cavities, to the case of small defects. The pinning potential for an elliptic cavity is derived analytically. Also, we determine the depinning current for a circular defect.