Critical Properties of Two-dimensional Anisotropic Ising Model on a Square Lattice

被引:5
作者
Farsal, D. [1 ]
Snina, M. [1 ]
Badia, M. [2 ]
Bennai, M. [1 ,3 ]
机构
[1] Univ Hassan II Casablanca, Fac Sci Ben Msik, Equipe Phys Quant & Applicat, Lab Phys Matiere Condensee, BP 7955, Casablanca, Morocco
[2] Ecole Royale Air, Dept Mecan, DFST, BP 40002, Marrakech, Morocco
[3] Univ Mohamed V Rabat, Fac Sci Rabat, LPHE Modelisat & Simulat, Rabat, Morocco
关键词
Ising system; Monte Carlo simulation; Critical temperatures; Critical exponent; Finite cluster approximation; THERMODYNAMICAL PROPERTIES; MONTE-CARLO; 4-SPIN INTERACTIONS; FIELD; ANTIFERROMAGNETS; TRANSITION; RB2COF4;
D O I
10.1007/s10948-017-4018-4
中图分类号
O59 [应用物理学];
学科分类号
摘要
We study the critical behavior of two-dimensional anisotropic Ising model on a square lattice by the finite cluster approximation based on a single-site cluster theory and by Monte Carlo techniques. We analize the influence of the report of the interactions Jh/Jv on the critical temperature of the system, and we show that the critical exponents depend only on the very general properties of the systems and not on the detail of the interactions. Finally, we do a comparison between the finite cluster app3roximation, the mean-field approximation, and the Monte Carlo method on the level of the phase diagram in the plan (Jh/Tc, Jv/Tc)
引用
收藏
页码:2187 / 2195
页数:9
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