A possible new phase of commensurate insulators with disorder: the Mott Glass

TL;DR

This paper predicts a new thermodynamic phase called the Mott Glass, arising from the interplay of interactions and disorder, characterized by being incompressible with gapless conductivity, bridging the Mott and Anderson insulators.

Contribution

It introduces the concept of the Mott Glass phase, a novel state resulting from finite-range interactions and disorder in fermionic, bosonic, and classical elastic systems.

Findings

Predicted the existence of the Mott Glass phase.

Characterized the phase as incompressible with no gap in conductivity.

Extended the phase concept to classical elastic systems with correlated disorder.

Abstract

A new thermodynamic phase resulting from the competition between a commensurate potential and disorder in interacting fermionic or bosonic systems is predicted. It requires interactions of finite extent. This phase, intermediate between the Mott insulator and the Anderson insulator, is both incompressible and has no gap in the conductivity. The corresponding phase is also predicted for commensurate classical elastic systems in presence of correlated disorder.