Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet
Statistical Mechanics
2015-05-14 v2
Abstract
Ordering of the classical Heisenberg antiferromagnet on the triangular lattice is studied by means of a mean-field calculation, a scaling argument and a Monte Carlo simulation, with special attention to its vortex degree of freedom. The model exhibits a thermodynamic transition driven by the Z_2-vortex binding-unbinding, at which various thermodynamic quantities exhibit an essential singularity. The low-temperature state is a "spin-gel" state with a long but finite spin correlation length where the ergodicity is broken topologically. Implications to recent experiments on triangular-lattice Heisenberg antiferromagnets are discussed.
Keywords
Cite
@article{arxiv.0909.0121,
title = {Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet},
author = {Hikaru Kawamura and Atsushi Yamamoto and Tsuyoshi Okubo},
journal= {arXiv preprint arXiv:0909.0121},
year = {2015}
}