title: 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- 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.
authors.affiliation: Division of Liberal Arts and Sciences & Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju 500-712, South Korea.
authors.forename: Unjong
authors.initials: U
authors.lastname: Yu