Absence of the Mott transition in infinite dimensions

TL;DR

This paper demonstrates that the half-filled Hubbard model in infinite dimensions does not exhibit a Mott transition, challenging previous assumptions and showing the transition on the Bethe lattice is an artifact, with the system always antiferromagnetic.

Contribution

It proves the absence of the Mott transition in the infinite-dimensional Hubbard model and clarifies the nature of the phase in the atomic limit.

Findings

No Mott transition in infinite dimensions

Transition on Bethe lattice is an artifact

Model remains antiferromagnetic in atomic limit

Abstract

It is shown that the half filled Hubbard model does not display the Mott metal-insulator transition, in the limit of infinite dimensions. The proposed transition on the Bethe lattice is proved to be an artifact. In the atomic limit, the model is always in the antiferromagnetic phase, which can be described by the Weiss mean field model.