Finite-Temperature Mott Transition in the Two-Dimensional Hubbard Model

TL;DR

This paper investigates the finite-temperature Mott transition in the 2D Hubbard model using a non-perturbative correlator projection method that incorporates spatial correlations, revealing a first-order transition with a critical endpoint.

Contribution

It introduces a non-perturbative correlator projection approach to include spatial correlations in studying the Mott transition in the 2D Hubbard model.

Findings

First-order Mott transition observed at finite temperature

Transition ends at a critical point or curve

Spatial correlations are crucial for accurate modeling

Abstract

Mott transitions are studied in the two-dimensional Hubbard model by a non-perturbative theory of correlator projection that systematically includes spatial correlations into the dynamical mean-field approximation. Introducing a nonzero second-neighbor transfer, a first-order Mott transition appears at finite temperatures and ends at a critical point or curve.