Ising antiferromagnet on the Archimedean lattices

Unjong Yu
Phys. Rev. E 91, 062121 – Published 17 June 2015

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- 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 kagome lattices.

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  • Received 9 April 2015

DOI:https://doi.org/10.1103/PhysRevE.91.062121

©2015 American Physical Society

Authors & Affiliations

Unjong Yu*

  • Division of Liberal Arts and Sciences & Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju 500-712, South Korea

  • *uyu@gist.ac.kr

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Issue

Vol. 91, Iss. 6 — June 2015

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