Monte Carlo studies of the Ising square lattice with competing interactions

A. Kalz; A. Honecker; S. Fuchs; T. Pruschke

doi:10.1088/1742-6596/145/1/012051

Monte Carlo studies of the Ising square lattice with competing interactions

Statistical Mechanics 2009-02-17 v1 Strongly Correlated Electrons

Authors: A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

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Abstract

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a critical point at $J_2 = J_1/2$ where the groundstate is highly degenerate. To analyse the phase boundaries we look at the specific heat and the energy distribution for various ratios of $J_2/J_1$ . We find a first order transition for small $J_2 > J_1/2$ and the transition temperature suppressed to $T_C=0$ at the critical point.

Keywords

monte carlo simulation ising model competing interactions antiferromagnetism phase transition square lattice

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@article{arxiv.0809.2503,
  title  = {Monte Carlo studies of the Ising square lattice with competing interactions},
  author = {A. Kalz and A. Honecker and S. Fuchs and T. Pruschke},
  journal= {arXiv preprint arXiv:0809.2503},
  year   = {2009}
}

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4 pages, 4 figures, accepted for publication in the proceedings of the conference on Highly Frustrated Magnets 2008 in Braunschweig

Monte Carlo studies of the Ising square lattice with competing interactions

Abstract

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