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arXiv · 1606.08191

Ising antiferromagnet on the Archimedean lattices

Unjong Yu
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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.

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Unjong Yu. 2016-06-27. Ising antiferromagnet on the Archimedean lattices. https://doi.org/10.1103/physreve.91.062121

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