Critical properties of a spin-1 triangular lattice Ising antiferromagnet

TL;DR

This study uses Monte Carlo simulations to explore the critical behavior of a spin-1 triangular lattice Ising antiferromagnet with single-ion anisotropy, revealing partial long-range order and a Berezinsky-Kosterlitz-Thouless phase.

Contribution

It demonstrates how single-ion anisotropy induces partial long-range order in a spin-1 system below the critical spin value, expanding understanding of phase behavior in frustrated magnets.

Findings

Partial long-range order exists for spin 1 with certain anisotropy.

Identification of a Berezinsky-Kosterlitz-Thouless phase at higher temperatures.

Finite-size scaling confirms the correlation decay exponent.

Abstract

We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that long-range order can exist in the isotropic system with a spin larger than some critical value estimated as 11/2. We show that the presence of the single-ion anisotropy can lead to a partial long-range order in the low-temperature region even below this critical value, namely for the spin 1, within a certain range of the anisotropy strength. At higher temperatures we identify another phase of the Berezinsky-Kosterlitz-Thouless type and using a finite-size scaling analysis evaluate the correlation decay exponent. We also study densities of various local spin patterns in the respective phases.