Computer simulation of critical behavior in spin models with nonmagnetic impurities

被引：12
作者：
Babaev, A. B. [1 ,2 ]
Murtazaev, A. K. [1 ,3 ]
机构：
[1] Russian Acad Sci, Kh I Amirkhanov Inst Phys, Dagestan Sci Ctr, Makhachkala, Russia
[2] Dagestan State Pedag Univ, Makhachkala, Russia
[3] Dagestan State Univ, Makhachkala, Russia
来源：
LOW TEMPERATURE PHYSICS | 2015年 / 41卷 / 08期
基金：
俄罗斯基础研究基金会;
关键词：
3-DIMENSIONAL POTTS-MODEL; PHASE-TRANSITIONS; MONTE-CARLO; QUENCHED DISORDER; ISING-MODEL; SYSTEMS; RENORMALIZATION; LATTICE;
D O I：
10.1063/1.4929595
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The results of computer simulations of the critical behavior of three-dimensional structures described by disordered Potts models with q = 3 and q = 4 spin states are discussed. Systems with linear dimensions L = 20-60 with spin concentrations p = 1.00, 0.95, 0.90, 0.80, 0.70, and 0.65 are examined. It is found that in a three- dimensional Potts model with q = 3 spin states, introducing nonmagnetic impurities induces a second order phase transition. In a Potts model with q = 4, on the other hand, a shift from a first order phase transition to a second order phase transition is observed at high dilution (p = 0.65). Numerical values of the critical parameters are found using finite-size scaling theory and it is shown that they form a universality class corresponding to disordered systems. (C) 2015 AIP Publishing LLC.
引用
收藏
页码：608 / 613
页数：6
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