Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model

TL;DR

This study investigates how disorder and spin imbalance affect antiferromagnetism in a one-dimensional Anderson-Hubbard model, revealing localization effects and the eventual disappearance of antiferromagnetic order at high disorder levels.

Contribution

It provides a systematic analysis of disorder and spin imbalance effects on antiferromagnetism using density-matrix renormalization group methods.

Findings

Disorder localizes antiferromagnetic spin density waves.

Increasing disorder shrinks antiferromagnetic regions.

High disorder destroys antiferromagnetic order.

Abstract

In order to study an interplay of disorder, correlation, and spin imbalance on antiferromagnetism, we systematically explore the ground state of one-dimensional spin-imbalanced Anderson-Hubbard model by using the density-matrix renormalization group method. We find that disorders localize the antiferromagnetic spin density wave induced by imbalanced fermions and the increase of the disorder magnitude shrinks the areas of the localized antiferromagnetized regions. Moreover, the antiferromagnetism finally disappears above a large disorder. These behaviors are observable in atomic Fermi gases loaded on optical lattices and disordered strongly-correlated chains under magnetic field.