Effective classical correspondence of the Mott transition

TL;DR

This paper derives a classical model that captures the Mott transition in the Hubbard model, revealing a simple exponential interaction and a classical analogy for the transition driven by a diverging interaction length.

Contribution

It introduces a novel classical correspondence for the Mott transition, using a simple two-body exponential interaction derived from quantum Monte Carlo data.

Findings

Identifies a classical two-body exponential interaction model for the Mott transition.

Reveals a logarithmically divergent interaction length at the transition.

Provides an alternative perspective on Mott physics through quantum-to-classical mapping.

Abstract

We derive an effective classical model to describe the Mott transition of the half-filled one-band Hubbard model in the framework of the dynamical mean-field theory with hybridization expansion of the continuous time quantum Monte Carlo. We find a simple two-body interaction of exponential form and reveal a classical correspondence of the Mott transition driven by a logarithmically divergent interaction length. Our work provides an alternative angle to view the Mott physics and suggests a renewed possibility to extend the application of the quantum-to-classical mapping in understanding condensed matter physics