Location of the Bicritical Point of the Anisotropic Heisenberg Model in a Crystal Field

7th Brazilian Meeting on Simulational Physics

Freire, R.T.S.^1 ; Martins, P.H.L.^2 ; Plascak, J.A.^3,4

Universidade Federal de São João Del Rei, Campus Dom Bosco Praça Dom Helvécio, 74-Fábricas 36301, 160-São João del Rei, MG, Brazil^1

Instituto de Física, Universidade Federal de Mato Grosso, Av. Fernando Corrêa da Costa 2367, 78060-900. Cuiabá, MT, Brazil^2

Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, C.P. 702, 30123-970. Belo Horizonte, MG, Brazil^3

Center for Simulational Physics, University of Georgia, Athens, GA 30602, United States^4

关键词: Anisotropic Heisenberg models;    Finite-size scaling analysis;    Fourth order cumulant;    Histogram technique;    Hybrid algorithms;    Order parameter;    Simple-cubic lattices;    Wolff algorithm;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/487/1/012006/pdf
DOI  :  10.1088/1742-6596/487/1/012006

来源: IOP

【 摘 要 】

Extensive Monte Carlo simulations are used to locate the bicritical point of the ferromagnetic anisotropic Heisenberg model on a simple cubic lattice in the presence of a crystal field. In order to achieve this goal, we employ a hybrid algorithm comprising Metropolis and Wolff algorithms along with field mixing. Multiple histogram techniques have also been used to obtain the probability distribution function of the conjugate extensive variables of interest. In conjunction with finite-size scaling analysis we computed the fourth-order cumulant of the order parameter along the first-order line and the corresponding bicritical point has been located from the crossings of the cumulants.