Mott Insulators Without Symmetry Breaking

TL;DR

This paper introduces theoretical models in one and two dimensions that demonstrate Mott insulating states at fractional fillings without breaking any symmetries, using non-local Hamiltonians in configuration space.

Contribution

It presents novel models of Mott insulators that do not involve symmetry breaking, expanding understanding of insulating states in condensed matter physics.

Findings

Models exhibit Mott insulating ground states at fractional occupations.

Ground states do not break any symmetries.

Hamiltonians are non-local in configuration space but local in phase space.

Abstract

We present theoretical models, in one and two space dimensions, that exhibit Mott insulating ground states at fractional occupations without any symmetry breaking. The Hamiltonians of these models are non-local in configuration space, but local in phase space.