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arXiv:0809.2537 · Physica A Statistical Mechanics and its Applications

First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions

Anastasios Malakis, Nikolaos G. Fytas, P. A. Kalozoumis

Published Apr 30, 2007• 19 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2007.04.051

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The phase transitions (PTs) and critical properties of the antiferromagnetic Ising model on a layered (stacked) triangular lattice have been studied by the Monte Carlo method using a replica algorithm with allowance for the next-nearest-neighbor interactions. The character of PTs is analyzed using the histogram technique and the method of Binder cumulants. It is established that the transition from the disordered to paramagnetic phase in the adopted model is a second-order PT. Static critical exponents of the heat capacity (α), susceptibility (γ), order parameter (β), and correlation radius (ν) and the Fischer exponent η are calculated using the finite-size scaling theory. It is shown that (i) the antiferromagnetic Ising model on a layered triangular lattice belongs to the XY universality class of critical behavior and (ii) allowance for the intralayer interactions of next-nearest neighbors in the adopted model leads to a change in the universality class of critical behavior.