Study of the first-order transition in the spin-1 Blume-Capel model by using effective-field theory

被引:32
作者
Costabile, Emanuel [1 ]
Amazonas, Marcio A. [1 ,2 ]
Roberto Viana, J. [1 ]
Ricardo de Sousa, J. [1 ,3 ]
机构
[1] Univ Fed Amazonas, Dept Fis, BR-69077000 Manaus, Amazonas, Brazil
[2] Inst Fed Educ Ciencia & Tecnol Amazonas, BR-69020120 Manaus, Amazonas, Brazil
[3] Univ Fed Amazonas, Natl Inst Sci & Technol Complex Syst, BR-69077000 Manaus, Amazonas, Brazil
关键词
ISING-MODEL; PHASE-DIAGRAMS; REENTRANT BEHAVIOR; DIPOLAR; SYSTEM;
D O I
10.1016/j.physleta.2012.09.003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The spin-1 Blume-Capel model on a square lattice is studied by using an effective-field theory (EFT) with correlation. We propose an expression for the free energy within the EFT. The phase diagram is constructed in the temperature (T) and single-ion anisotropy amplitude (D) plane. The first-order transition line is obtained by Maxwell construction (comparison between free energies). Our results predict first-order transitions at low temperatures and large anisotropy strengths, which correspond in the phase diagram to the existence of a tricritical point (TCP). We compare our results with mean-field approximation (MFA), that show a qualitative correct behavior for the phase diagram. Crown Copyright (C) 2012 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:2922 / 2925
页数:4
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