Is There a Phase Transition in the Isotropic Heisenberg Antiferromagnet on the Triangular Lattice?
Abstract
The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2-dimensional triangular lattice is investigated using Monte Carlo methods. In the easy-axis limit, two finite temperature vortex unbinding transitions have been observed. In the easy-plane limit, there also appear to be two distinct finite temperature phase transitions. The upper transition corresponds to an Ising-like chirality ordering and the lower temperature transition corresponds to a Kosterlitz-Thouless vortex unbinding transition. These phase transition lines all meet at the Heisenberg point and provide strong evidence that the isotropic model undergoes a novel finite temperature phase transition.
Keywords
Cite
@article{arxiv.cond-mat/0009115,
title = {Is There a Phase Transition in the Isotropic Heisenberg Antiferromagnet on the Triangular Lattice?},
author = {W. Stephan and B. W. Southern},
journal= {arXiv preprint arXiv:cond-mat/0009115},
year = {2009}
}
Comments
Presented at Highly Frustrated Magnetism 2000, Waterloo, Canada. To appear in Can. J. Phys