Critical behavior of a supersymmetric extension of the Ginzburg-Landau model

TL;DR

This paper explores how supersymmetry influences the critical behavior of the Ginzburg-Landau model, revealing fixed critical exponents and superconductivity type, bridging condensed matter and particle physics.

Contribution

It introduces a supersymmetric extension of the Ginzburg-Landau model and demonstrates how supersymmetry determines critical exponents and the superconductivity regime.

Findings

Supersymmetry fixes the critical exponents.

The model resides in the type II superconductivity regime.

Supersymmetric effects alter the critical behavior of the model.

Abstract

We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the supersymmetric quantum electrodynamics upon the critical behavior of the Ginzburg-Landau model. It is shown that supersymmetry fixes the critical exponents, as well as the Landau-Ginzburg parameter, and that the model resides in the type II regime of superconductivity.