Frustrations and phase transitions in the Ising model on square lattice

被引：5

作者：

Murtazaev, A. K. ^{[1
]}

Ramazanov, M. K. ^{[1
]}

Kassan-Ogly, F. A. ^{[2
]}

机构：

[1] Russian Acad Sci, Dagestan Sci Ctr, Inst Phys, Makhachkala 367003, Russia

[2] Russian Acad Sci, Ural Div, Inst Met Phys, Ekaterinburg 620990, Russia

来源：

25TH IUPAP CONFERENCE ON COMPUTATIONAL PHYSICS (CCP2013) | 2014年 / 510卷

关键词：

NEXT-NEAREST-NEIGHBOR; CRITICAL-BEHAVIOR; HEISENBERG-MODEL; RENORMALIZATION-GROUP; NON-UNIVERSALITY; 1ST-NEIGHBOR; SIMULATIONS; DIAGRAMS;

D O I：

10.1088/1742-6596/510/1/012026

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The phase transitions in two-dimensional antiferromagnetic Ising model are studied on a square lattice by taking the interactions of next-nearest neighbors into account. The model is investigated on basis of the replica Monte Carlo algorithm and the histogrammic analysis of data. The diagram of the critical temperature dependence on an interaction value of next-nearest neighbors is plotted. The studied model reveals the phase transition of second order and the frustration points depending on relative interaction values and magnetic field. A effect, heat capacity splitting near the frustration points, is found.

引用

页数：9

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