Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model

Abstract

A detailed study of the paramagnetic to ferromagnetic phase transition in the one-band Hubbard model in the presence of binary alloy disorder is presented. The influence of the disorder (with concentration $x$ and $1-x$ of the two alloy ions) on the Curie temperature $T_c$ is found to depend strongly on electron density $n$. While at high densities, $n>x$, the disorder always reduces $T_c$, at low densities, $n<x$, the disorder can even \emph{enhance} $T_c$ if the interaction is strong enough. At the particular density $n=x$ (i. e. not necessarily at half filling) the interplay between disorder-induced band splitting and correlation induced Mott transition gives rise to a new type of metal-insulator transition.

4 pages, 4 figures

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Finite temperature numerical renormalization group study of the Mott-transition
• Derivation of the Curie-Weiss Law in Dynamical Mean-Field Theory
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