Monte Carlo studies of the square Ising model with next-nearest-neighbor interactions

A. Malakis (), P. Kalozoumis and N. Tyraskis

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 63-67

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=J nnn /J nn ) 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.50.+q Lattice theory and statistics (Ising; Potts; etc.); 64.60.Fr Equilibrium properties near critical points; critical exponents; 05.10.Ln Monte Carlo methods (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00032-2

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