Mott-Hubbard transition in infinite dimensions

TL;DR

This paper investigates the Mott-Hubbard transition in the infinite-dimensional Hubbard model, showing it is continuous with a simultaneous gap opening and quasiparticle weight vanishing at the critical point.

Contribution

It provides reliable bounds on the zero-temperature gap and quasiparticle weight in the infinite-dimensional Hubbard model, supporting a continuous transition.

Findings

The Mott-Hubbard transition is continuous.

Quasiparticle weight vanishes at the transition.

The gap opens at the same critical interaction strength.

Abstract

We calculate the zero-temperature gap and quasiparticle weight of the half-filled Hubbard model with a random dispersion relation. After extrapolation to the thermodynamic limit, we obtain reliable bounds on these quantities for the Hubbard model in infinite dimensions. Our data indicate that the Mott-Hubbard transition is continuous, i.e., that the quasiparticle weight becomes zero at the same critical interaction strength at which the gap opens.