Spin-density Wave in Ising-coupled Antiferromagnetic Chains

TL;DR

This paper investigates how anisotropic Ising-type interactions influence the ground state of coupled antiferromagnetic chains, revealing a tendency towards Ising antiferromagnetic order.

Contribution

It provides a theoretical analysis of anisotropic coupling effects in multiple spin-1/2 chains using an equivalent Luttinger model approach.

Findings

Ground state is generally an Ising antiferromagnet

Anisotropy induces specific magnetic ordering

Theoretical framework applies to coupled spin chains

Abstract

The effect of anisotropy in the nearest-neighbor spin interactions that couple $N\geq 2$ consecutive spin-1/2 antiferromagnetic chains is studied theoretically by considering the limit where the coupling is purely of the Ising type. An analysis based on the equivalent Luttinger model reveals that the groundstate is an Ising antiferromagnet in general.