Frustrations and phase transitions in the Ising model on square lattice

25th IUPAP Conference on Computational Physics

物理学;计算机科学

Murtazaev, A.K.^1 ; Ramazanov, M.K.^1 ; Kassan-Ogly, F.A.^2

Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, 367003 Makhachkala, Russia^1

Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Ekaterinburg, 620990, Russia^2

关键词: Analysis of data;    Antiferromagnetic Ising model;    Critical temperatures;    Monte carlo algorithms;    Nearest neighbors;    Second orders;    Square lattices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/510/1/012026/pdf
DOI  :  10.1088/1742-6596/510/1/012026

学科分类：计算机科学（综合）

来源: IOP

【 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.