Long-Range Order of the Three-Sublattice Structure in the S = 1 Heisenberg Antiferromagnet on a Spatially Anisotropic Triangular Lattice

TL;DR

This study investigates the stability of three-sublattice long-range order in the S=1 Heisenberg antiferromagnet on an anisotropic triangular lattice, revealing its persistence within a specific interaction ratio range.

Contribution

It provides numerical evidence for the stability of three-sublattice order in an anisotropic triangular lattice, extending understanding from isotropic to anisotropic systems.

Findings

Long-range order exists for 0.7 ≤ J2/J1 ≤ 1.

Order persists from isotropic to quasi-one-dimensional limits.

Numerical diagonalization confirms the ordered phase stability.

Abstract

We study the S=1 Heisenberg antiferromagnet on a spatially anisotropic triangular lattice by the numerical diagonalization method. We examine the stability of the long-range order of a three-sublattice structure observed in the isotropic system between the isotropic case and the case of isolated one-dimensional chains. It is found that the long-range-ordered ground state with this structure exists in the range of 0.7 \simle J_2/J_1 \le 1, where J_1 is the interaction amplitude along the chains and J_2 is the amplitude of other interactions.