Critical Statistical Charge for Anyonic Superconductivity

TL;DR

This paper investigates the conditions under which anyonic superconductivity occurs in three-dimensional Abelian Chern-Simons gauge theories, identifying a critical statistical charge through Dyson-Schwinger equation analysis.

Contribution

It introduces a specific criterion for anyonic superconductivity and calculates a critical charge value using non-perturbative Dyson-Schwinger equations.

Findings

Identifies a critical statistical charge for superconductivity

Provides a non-perturbative analysis in a massless fermion-Chern-Simons model

Establishes a criterion for the onset of anyonic superconductivity

Abstract

We examine a criterion for the anyonic superconductivity at zero temperature in Abelian matter-coupled Chern-Simons gauge field theories in three dimensions. By solving the Dyson-Schwinger equations, we obtain a critical value of the statistical charge for the superconducting phase in a massless fermion-Chern-Simons model.