Vortices on "rail road tracks": A possible realization of random matrix ensemble

TL;DR

This paper models the thermodynamics of vortices confined to one-dimensional tracks on superconducting films using a Coulomb gas analogy related to random matrix theory, revealing potential connections between vortex behavior and random matrix ensembles.

Contribution

It introduces a novel mapping of vortex thermodynamics in superconducting films onto a Coulomb gas model associated with random matrix ensembles, providing new insights into vortex dynamics.

Findings

Vortices on tracks can be described by a Coulomb gas model.

The model suggests a link between vortex arrangements and random matrix theory.

Potential implications for understanding vortex behavior in superconductors.

Abstract

The thermodynamics of interacting vortices constricted to move in one-dimensional tracks carved out on superconducting film in the extreme type-II limit is mapped onto the Coulomd gas model of random matrices.