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Phase diagram and critical behavior of the square-lattice Ising model with competing nearest- and next-nearest-neighbor interactions

Junqi Yin, D. P. Landau
Center for Simulational Physics, University of Georgia, Athens, Georgia 30602, USA
Physical Review E, vol. 80, Issue 5, id. 051117, arXiv:0909.4000v1 [cond-mat.stat-mech] (22 Sep 2009)

@article{yin2009phase,

   title={Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-and next-nearest-neighbor interactions},

   author={Yin, J. and Landau, DP and Saint-Aubin, Y. and Arguin, L.P. and Aurag, H. and Patel, A.J. and Chandler, D. and Esposito, M. and Lindenberg, K. and Sokolov, I.M. and others},

   journal={Arxiv preprint arXiv:0909.4000},

   year={2009}

}

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Using the parallel tempering algorithm and GPU accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor(NN) and next-nearest-neighbor(NNN) interactions of the same strength and subject to a uniform magnetic field. Both transitions from the (2×1) and row-shifted (2×2) ordered phases to the paramagnetic phase are continuous. From our data analysis, reentrance behavior of the (2×1) critical line and a bicritical point which separates the two ordered phases at T=0 are confirmed. Based on the critical exponents we obtained along the phase boundary, Suzuki’s weak universality seems to hold.
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