Interplay of strongly correlated electrons and localized Ising moments in one-dimension

TL;DR

This paper investigates the ground state properties of a one-dimensional system where strongly correlated electrons interact with localized Ising moments, revealing complex magnetic behaviors and potential magneto-electric effects.

Contribution

It introduces a model coupling correlated electrons with Ising moments in one dimension, analyzing the effects of frustration and incommensurate magnetic correlations.

Findings

Frustration between electronic and Ising chain interactions leads to complex magnetic states.

Incommensurate magnetic correlations emerge due to differing periodicities.

Potential for magneto-electric effects arising from the interplay of interactions.

Abstract

We study the ground state properties of the one-dimensional quarter-filled strongly correlated electronic chain coupled by $J$ to another chain of antiferromagnetic Ising moments. We focus on the case where the large Coulomb interactions localize the charges on every other site. Both the electronic spins and the Ising moments interact antiferromagnetically within each chain by $J_{\rm eff}$ and $J'$, respectively. Since the number of electrons is half as that of the Ising moments the period of magnetic correlation of these two chains are incommensurate. In the presence of $J$, the frustration of $J_{\rm eff}$ and $J'$ arises, which may lead the system to the intriguing magneto-electric effect.