Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors

TL;DR

This paper thoroughly analyzes the normal modes of vortex vibrations in the Ginzburg-Landau model, revealing their structure for all coupling constants, enhancing understanding of vortex dynamics in superconductors.

Contribution

It provides a comprehensive characterization of vortex vibration modes across all coupling regimes in the Ginzburg-Landau framework.

Findings

Normal modes are fully characterized for any coupling constant.

The structure of vortex vibrations is elucidated.

Results apply to rotationally invariant n-vortices.

Abstract

The structure of the normal modes of vibration of rotationally invariant $n$-vortices in the Ginzburg-Landau/Abelian Higgs model is completely unveiled for any value of the coupling constant.