Monte Carlo studies of the Ising square lattice with competing interactions

Details Monte Carlo studies of the Ising square lattice with competing interactions Monte Carlo studies of the Ising square lattice with competing interactions

2008-09-15

arxiv.org/abs/0809.2503v1

J. Phys.: Conf. Ser. 145 (2009) 012051

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1742-6596/145/1/012051

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.

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