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arXiv · 1606.08228

Ising antiferromagnet on the 2-uniform lattices

Unjong Yu
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Abstract

The antiferromagnetic Ising model is investigated on the 20 2-uniform lattices using the Monte-Carlo method based on the Wang-Landau algorithm and the Metropolis algorithm to study the geometric frustration effect systematically. Based on the specific heat, the residual entropy, and the Edwards-Anderson freezing order parameter, the ground states of them were determined. In addition to the long-range-ordered phase and the spin ice phase found in the Archimedean lattices, two more phases were found. The partial long-range order is long-range order with exceptional disordered sites, which gives extensive residual entropy. In the partial spin ice phase, the partial freezing phenomenon appears: Majority of sites are frozen without long-range order, but the other sites are fluctuating even at zero temperature. The spin liquid ground state was not found in the 2-uniform lattices.

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Unjong Yu. 2016-06-27. Ising antiferromagnet on the 2-uniform lattices. https://doi.org/10.1103/physreve.94.022112

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