Universal property of single topological singularity dynamics

TL;DR

This paper uses random matrix theory to show that the transverse force on a vortex in a superconductor is unaffected by certain impurities, revealing a universal property of topological singularity dynamics.

Contribution

It provides a theoretical demonstration of the insensitivity of vortex transverse force to specific impurities using random matrix theory, highlighting a universal aspect of topological singularity behavior.

Findings

Transverse force on vortices is unaffected by non-magnetic impurities.

Random matrix theory effectively models vortex dynamics.

Universal property of topological singularities demonstrated.

Abstract

Using the random matrix theory we demonstrate explicitly the insensitivity of the transverse force on a moving vortex to non-intrinsic and non-magnetic impurities in a superconductor.