The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions

TL;DR

This paper investigates the finite temperature Mott transition in the Hubbard model using dynamical mean field theory and quantum Monte Carlo simulations, identifying a critical point and phase coexistence.

Contribution

It provides the first explicit demonstration of a second order critical point at finite temperature in the frustrated Hubbard model and maps its location in the phase diagram.

Findings

Existence of a finite temperature second order critical point.

Demonstration of phase coexistence at low temperatures.

Quantitative determination of the critical point in the (U,T) plane.

Abstract

We study the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within Dynamical Mean Field Theory. Using quantum Monte Carlo simulations we show the existence of a finite temperature second order critical point by explicitly demonstrating the existence of a divergent susceptibility as well as by finding coexistence in the low temperature phase. We determine the location of the finite temperature Mott critical point in the (U,T) plane. Our study verifies and quantifies a scenario for the Mott transition proposed in earlier studies (Reviews of Modern Physics 68, 13, 1996) of this problem.