Critical properties of a spin-1 triangular lattice Ising antiferromagnet

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.

8 pages, 3 figures

References in corpus (2)

• Multiplicity of Ordered Phases in Frustrated Systems Obtained from Hard-Spin Mean-Field Theory
• Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices

Cited by in corpus (1)

• Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion