Effect of a magnetic field on Mott-Hubbard systems

TL;DR

This paper investigates how magnetic fields influence Mott-Hubbard systems, revealing a first-order transition between metallic and insulating states, with implications for transition-metal oxides and liquid helium-3.

Contribution

It demonstrates a first-order metamagnetic transition in the Hubbard model under magnetic fields, expanding understanding of magnetic effects in strongly correlated electron systems.

Findings

Identified a critical magnetic field inducing a transition from metal to insulator.

Analyzed magnetization, one-particle properties, and susceptibility dependence on field and temperature.

Compared results with Gutzwiller approximation and discussed experimental relevance.

Abstract

The effect of a magnetic field on Mott-Hubbard systems is investigated by studying the half-filled Hubbard model in the limit of infinite dimensions. A first-order metamagnetic transition between the strongly correlated metal and the Mott insulator is found for a critical value of the applied field. The field and temperature dependence of the magnetization, one-particle properties and susceptibility are studied and compared to the Gutzwiller approximation. The experimental relevance for transition-metal oxides and liquid $^{3}He$ is discussed.