Critical Properties of the Mott Transition in the Hubbard Model

TL;DR

This paper develops a low-energy theoretical framework for strongly correlated electrons in infinite dimensions, analyzing the Mott transition in the Hubbard model and connecting results to experimental data.

Contribution

It introduces a systematic low-energy approach to study the Mott transition in the Hubbard model in infinite dimensions, providing detailed scaling functions and thermodynamic insights.

Findings

Determined low-energy scaling functions for the metallic state.

Analyzed single-particle Green function and spin susceptibility.

Connected theoretical results to experimental data in transition metal oxides.

Abstract

We introduce a systematic low-energy approach to strongly correlated electron systems in infinite dimensions, and apply it to the problem of the correlation-induced metal-insulator transition in the half-filled Hubbard model. We determine the low-energy scaling functions of the metallic state, including the single-particle Green function and dynamical spin susceptibility, as well as thermodynamic properties and relate them to experimental data in transition metal oxides.