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Critical Properties of 2D Anisotropic Ising Model with More Than Nearest Neighbor Interaction

A. El Ghazrani, Anouar Elidrysy, A. Lahbibi, Said Harir, L.B. Drissi

Published Apr 22, 2022• 10 citations

Abstract

Using the finite cluster approximation (FCA) based on a single-site cluster theory and Monte Carlo simulation (MCS) under the Metropolis algorithm, we study the critical properties of two-dimensional (2D) spins-½ system by analyzing the effect of the anisotropic parameter [Formula: see text] and next-nearest-neighbor (NNN) interaction [Formula: see text] on the critical temperature [Formula: see text] of the 2D anisotropic square lattice. It is found that the MCS is more reliable than the FCA method in the resolution of the Ising model. Moreover, MC calculations reveal that [Formula: see text] is strongly correlated with the external magnetic field [Formula: see text], [Formula: see text], and [Formula: see text], where the competition between these parameters can generate several rich phase diagrams.

DOI: 10.1142/s2010324722500102

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