Bogomol'nyi Limit For Magnetic Vortices In Rotating Superconductor

TL;DR

This paper extends the analysis of magnetic vortices in rotating superconductors using a generalized Ginzburg-Landau model, showing that the Bogomol'nyi limit remains unchanged by rotation.

Contribution

It demonstrates that the Bogomol'nyi limit condition is unaffected by background rotation within a generalized Ginzburg-Landau framework.

Findings

Bogomol'nyi limit is rotation-independent.

Generalized Ginzburg-Landau model applied to vortices.

Normal density profile influences vortex structure.

Abstract

This work is the sequel of a previous investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a rigidly rotating background. In the present paper, we carry out our analysis with a generalized Ginzburg-Landau description of the superconductor, which provides a prescription for the radial profile of the normal density within the vortex. Within this framework, it is shown that the Bogomol'nyi limit condition marking the boundary between type I and type II behavior is unaffected by the rotation of the background.