Ising antiferromagnet on the Archimedean lattices
Abstract
Geometric frustration effects were studied systematically with the Ising antiferromagnet on the 11 Archimedean lattices using the Monte-Carlo methods. The Wang-Landau algorithm for static properties (specific heat and residual entropy) and the Metropolis algorithm for a freezing order parameter were adopted. The exact residual entropy was also found. Based on the degree of frustration and dynamic properties, ground states of them were determined. The Shastry-Sutherland lattice and the trellis lattice are weakly-frustrated and have two-dimensional and one-dimensional long-range-ordered ground states, respectively. The bounce, maple-leaf, and star lattices have the spin ice phase. The spin liquid phase appears in the triangular and kagom\'e lattices.
Cite
@article{arxiv.1606.08191,
title = {Ising antiferromagnet on the Archimedean lattices},
author = {Unjong Yu},
journal= {arXiv preprint arXiv:1606.08191},
year = {2016}
}
Comments
4 figures