Multitude of phases in correlated lattice fermion systems with spin-dependent disorder

TL;DR

This paper investigates the complex magnetic phases in correlated lattice fermion systems with spin-dependent disorder, revealing five distinct phases and their properties using advanced theoretical methods, with potential experimental verification in cold atom systems.

Contribution

It introduces a comprehensive phase diagram for the Hubbard model with spin-dependent disorder, identifying five unique magnetic phases including spin-selective localized states.

Findings

Five distinct phases identified, including ferromagnetic metal and spin-selective insulators.

Different long-range spin orders characterize the four insulating phases.

The phase diagram can be experimentally tested with cold fermions in optical lattices.

Abstract

The magnetic phases induced by the interplay between disorder acting only on particles with a given spin projection ("spin-dependent disorder") and a local repulsive interaction is explored. To this end the magnetic ground state phase diagram of the Hubbard model at half-filling is computed within dynamical mean-field theory combined with the geometric average over disorder, which is able to describe Anderson localization. Five distinct phases are identified: a ferromagnetically polarized metal, two types of insulators, and two types of spin-selective localized phases. The latter four phases possess different long-range order of the spins. The predicted phase diagram may be tested experimentally using cold fermions in optical lattices subject to spin-dependent random potentials.