Schrodinger-Chern-Simons Vortex Dynamics

TL;DR

This paper investigates vortex dynamics in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics, comparing approximation methods with numerical simulations, and highlighting the importance of radiation effects near critical coupling.

Contribution

It provides a detailed comparison between the moduli space approximation and full numerical simulations, revealing limitations of the approximation due to radiation effects.

Findings

Agreement near critical coupling

Significant qualitative differences away from criticality

Radiation effects influence vortex forces

Abstract

We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if the coupling constant is very close to the critical value separating Type I from Type II superconductors. However, there are significant qualitative differences even for modest deviations from the critically coupled regime. Radiation effects produce forces which are of the same order of magnitude as the intervortex force and therefore have a significant impact on vortex motion. We conclude that the moduli space approximation does not provide a good description of the dynamics in this regime.