The vortex pinning on the cylindrical defects and the electronic structure of the vortex core

TL;DR

This paper proposes a model for vortex pinning on cylindrical defects in superconductors, using zero-range potentials and variational methods to estimate pinning energy, force, and critical current density.

Contribution

It introduces a new theoretical model for vortex pinning on cylindrical defects employing zero-range potentials and variational techniques.

Findings

Estimated pinning energy and force for vortices on cylindrical defects.

Derived critical current density related to defect density.

Validated the model in the limit of large Ginzburg-Landau parameter .

Abstract

The model of the Abrikosov vortex pinning on a cylindrical defect is proposed. It is shown that in the limit $\varkappa \gg 1$ the potential for the vortex core excitations can be treated in terms of the zero-range potentials method. Using the variational method the estimates for the energy of pinning, the pinning force and the density of critical current defect are obtained.