Chern-Simons superconductivity

TL;DR

This paper demonstrates that a Yukawa coupling between an $O(3)$ nonlinear sigma model and charged Dirac fermions induces a Meissner effect after quantum corrections, revealing a novel mechanism for superconductivity.

Contribution

It introduces a new theoretical link between nonlinear sigma models and superconductivity via Yukawa coupling and quantum effects.

Findings

Yukawa coupling induces Meissner effect in the disordered phase.

Quantum corrections lead to superconducting behavior.

Provides a theoretical framework connecting sigma models and superconductivity.

Abstract

We argue that a simple Yukawa coupling between the $O(3)$ nonlinear $\s$-model and charged Dirac fermions leads, after one-loop quantum corrections, to a Meissner effect, in the disordered phase of the nonlinear $\s$-model.