The combination of the random interaction fields' method and the Bethe-Peierls method for studying two-sublattice magnets

被引:10
作者
Belokon, V. [1 ]
Kapitan, V. [2 ]
Dyachenko, O. [3 ]
机构
[1] Far Eastern Fed Univ, Sch Nat Sci, Dept Theoret & Expt Phys, Vladivostok 690950, Russia
[2] Far Eastern Fed Univ, Sch Nat Sci, Dept Comp Syst, Vladivostok 690950, Russia
[3] Far Eastern Fed Univ, Sch Nat Sci, Dept Gen Phys, Vladivostok 690950, Russia
关键词
Magnetic phase transitions; Random-field method; Bethe-Peierls method; Monte Carlo simulation; Curie point; Titanomagnetite;
D O I
10.1016/j.jmmm.2015.10.082
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, the concentration magnetic phase transitions are described using the random interaction fields' method in combination with the Bethe-Peierls method. This approach allows us to take into account the correlation between magnetic moments and obtain a more accurate solution for the calculation of the Curie point in comparison with the use of the Kikuchi method, which is considered as the most accurate method in the molecular field theory. As an example, we study the dependence of the Curie point on the concentration of titanium in titanomagnetite. This material is one of the typical natural ferrimagnetics. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:651 / 655
页数:5
相关论文
共 17 条
[11]  
Bragg WL., 1934, P ROY SOC LOND A MAT, V145, P699, DOI [DOI 10.1098/RSPA.1934.0132, 10.1098/rspa.1934.0132]
[12]   Magnetic properties of Ising thin films with cubic lattices [J].
Laosiritaworn, Y ;
Poulter, J ;
Staunton, JB .
PHYSICAL REVIEW B, 2004, 70 (10) :104413-1
[13]   Monte Carlo simulation of lattice systems with RKKY interaction [J].
Nefedev, K. V. ;
Belokon, V. I. ;
Kapitan, V. Yu ;
Dyachenko, O. I. .
2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES 2013 (IC-MSQUARE 2013), 2014, 490
[14]  
O'Reilly W., 2012, Rock and Mineral Magnetism
[15]   Crystal statistics I A two-dimensional model with an order-disorder transition [J].
Onsager, L .
PHYSICAL REVIEW, 1944, 65 (3/4) :117-149
[16]  
Smart J.S., 1966, Effective field theories of magnetism -studies in physics and chemistry, Vsecond
[17]   THE APPLICATION OF THE BETHE-PEIERLS METHOD TO FERROMAGNETISM [J].
WEISS, PR .
PHYSICAL REVIEW, 1948, 74 (10) :1493-1504