Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions
Statistical Mechanics
2013-06-05 v2 Materials Science
Abstract
We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with competing interactions. The order parameter space of the model is SO(3)xZ2. The dissociation of the Z2 vortices which comes from SO(3) and a second-order phase transition with Z2 symmetry breaking occur at the same temperature. We also find that the second-order phase transition belongs to the universality class of the two-dimensional Ising model.
Cite
@article{arxiv.1209.2520,
title = {Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions},
author = {Ryo Tamura and Shu Tanaka and Naoki Kawashima},
journal= {arXiv preprint arXiv:1209.2520},
year = {2013}
}
Comments
5 pages, 3 figures