Abstract.
We apply a new entropic scheme to study the critical behavior of the square-lattice Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions. Estimates of the present scheme are compared with those of the Metropolis algorithm. We consider interactions in the range where superantiferromagnetic (SAF) order appears at low temperatures. A recent prediction of a first-order transition along a certain range (0.5–1.2) of the interaction ratio (R=Jnnn/Jnn) is examined by generating accurate data for large lattices at a particular value of the ratio (R=1). Our study does not support a first-order transition and a convincing finite-size scaling analysis of the model is presented, yielding accurate estimates for all critical exponents for R=1. The magnetic exponents are found to obey “weak universality” in accordance with a previous conjecture.
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Malakis, A., Kalozoumis, P. & Tyraskis, N. Monte Carlo studies of the square Ising model with next-nearest-neighbor interactions. Eur. Phys. J. B 50, 63–67 (2006). https://doi.org/10.1140/epjb/e2006-00032-2
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DOI: https://doi.org/10.1140/epjb/e2006-00032-2