Infinite symmetry prevents disorder-induced localization in 2D

TL;DR

This paper demonstrates that infinite-dimensional symmetries in 2D gapped quantum states prevent localization caused by disorder, especially near the superconductor-insulator transition, using algebraic methods.

Contribution

It introduces a novel algebraic framework revealing how infinite symmetries constrain 2D quantum states and prevent localization.

Findings

Infinite symmetries render 2D gapped states transparent to weak disorder

Derived all possible states near the superconductor-insulator transition

Computed the meson spectrum of superinsulators

Abstract

We show that 2D gapped many-body quantum states are constrained by an infinite-dimensional symmetry which renders them transparent to weak disorder. This prevents disorder-induced localization when interactions are strong enough to open a gap. Using purely algebraic methods we derive all possible quantum states near the superconductor-to-insulator (SIT) transition and we compute the meson spectrum of superinsulators.