Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions

TL;DR

This paper investigates models of itinerant spinless fermions with cavity-mediated long-range interactions, revealing metallic and localized glass phases with unique charge dynamics, and discusses their realization in cold atom systems.

Contribution

It introduces a novel infinite-range model of fermions with long-range interactions, uncovering glassy phases and comparing them to known disordered electronic systems.

Findings

Discovery of a metallic phase with glassy charge dynamics

Identification of a localized glass phase with suppressed density of states

Comparison of these phases to conventional disordered Fermi liquids

Abstract

We study models of itinerant spinless fermions with random long-range interactions. We motivate such models from descriptions of fermionic atoms in multi-mode optical cavities. The solution of an infinite-range model yields a metallic phase which has glassy charge dynamics, and a localized glass phase with suppressed density of states at low energies. We compare these phases to the conventional disordered Fermi liquid, and the insulating electron glass of semiconductors. Prospects for the realization of such glassy phases in cold atom systems are discussed.