Journal of Experimental and Theoretical Physics

Critical properties of the anisotropic Ising model with competing interactions

Akai Kurbanovich Murtazaev, Zhavrail G. Ibaev

Published Jul 1, 2011• 14 citations

Abstract

The critical properties of the anisotropic Ising model with competing interactions have been investigated by Monte Carlo methods. The region of localization of the Lifshitz point on the phase diagram has been computed. Relations of the finite-size scaling theory are used to calculate the critical exponents of the heat capacity, susceptibility, and magnetization at various values of the competing interaction parameter J 1. A crossover to a critical behavior characteristic of a multicritical point with increasing parameter J 1 is shown to be present in the system.

DOI: 10.1134/s1063776111050165

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