Compact U(1) gauge theories in 2+1 dimensions and the physics of low dimensional insulating materials

TL;DR

This paper reviews recent findings on the compact abelian Higgs model in 2+1 dimensions, which is relevant for understanding the effective field theories of quantum insulators in low-dimensional materials.

Contribution

It provides a comprehensive review of recent results on the compact abelian Higgs model in 2+1 dimensions within the context of quantum insulators.

Findings

Insights into the phase structure of the compact abelian Higgs model

Connections between gauge theories and low-dimensional insulating materials

Potential implications for understanding quantum phase transitions

Abstract

Compact abelian gauge theories in $d=2+1$ dimensions arise often as an effective field-theoretic description of models of quantum insulators. In this paper we review some recent results about the compact abelian Higgs model in $d=2+1$ in that context.