Monte Carlo study of the Spin-1 Baxter-Wu model in a crystal field

8th Brazilian Meeting on Simulational Physics

Costa, M.L.M.^1 ; Plascak, J.A.^2,3,4

Instituto de Tecnologia - ITEC, Universidade Federal Do Pará, Campus Universitário Do Guamá, Rua Augusto Correa, No. 1, Bélém

PA

66075-110, Brazil^1

Departamento de Física, Centro de Ciéncias Exatas e da Natureza, Universidade Federal da Paraíba, Cidade Universitária, Joáo Pessoa

PB

58051-970, Brazil^2

Departamento de Física, Universidade Federal de Minas Gerais, C. P. 702, Belo Horizonte

MG

30123-970, Brazil^3

Center for Simulational Physics, University of Georgia, Athens

GA

30602, United States^4

关键词: Baxter-Wu model;    Critical behavior;    Critical exponent;    Crystal fields;    Finite size scaling;    Histogram technique;    Metropolis algorithms;    Order parameter;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/686/1/012011/pdf
DOI  :  10.1088/1742-6596/686/1/012011

来源: IOP

【 摘 要 】

The two-dimensional Baxter-Wu model with spin-1, in the presence of a crystal field, is studied by using Monte Carlo simulations. The standard single-spin-flip Metropolis algorithm is used to generate the configurations from which the order parameter, specific heat and magnetic susceptibility are measured. Single histogram techniques are used to get the results close to the phase transitions. The finite-size scaling procedure is employed in order to obtain the critical behavior. The simulations have shown that the critical exponents are different from the spin-1/2 case and are crystal field dependent.