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
相关论文
共 42 条
[11]   NEW EFFECTIVE-FIELD THEORY FOR THE BLUME-EMERY-GRIFFITHS MODEL [J].
FITTIPALDI, IP ;
SIQUEIRA, AF .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1986, 54-7 :694-696
[12]   RE-ENTRANT BEHAVIOR OF THE ANISOTROPIC BEG MODEL IN THE EFFECTIVE-FIELD APPROXIMATION [J].
FITTIPALDI, IP ;
KANEYOSHI, T .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (37) :6513-6522
[13]   CONTRIBUTION TO THE NEW TYPE OF EFFECTIVE-FIELD THEORY OF THE ISING-MODEL [J].
HONMURA, R ;
KANEYOSHI, T .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (19) :3979-3992
[14]   MONTE-CARLO STUDY OF THE FCC BLUME-CAPEL MODEL [J].
JAIN, AK ;
LANDAU, DP .
PHYSICAL REVIEW B, 1980, 22 (01) :445-452
[16]   THE PHASE-TRANSITION OF THE SPIN-ONE ISING-MODEL WITH A RANDOM CRYSTAL-FIELD [J].
KANEYOSHI, T .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (18) :L679-L682
[17]   A GENERAL-THEORY OF SPIN-ONE ISING-MODELS IN THE CORRELATED EFFECTIVE-FIELD APPROXIMATION [J].
KANEYOSHI, T .
PHYSICA A, 1992, 182 (03) :436-454
[18]   STABLE, METASTABLE AND UNSTABLE SOLUTIONS OF A SPIN-1 ISING SYSTEM BASED ON THE FREE-ENERGY SURFACES [J].
KESKIN, M ;
OZGAN, S .
PHYSICS LETTERS A, 1990, 145 (6-7) :340-342
[19]  
Ktoutou K., 2005, J MAGN MAGN MATER, V288, P259
[20]  
LAWRIE ID, 1988, PHASE TRANSITIONS CR, V9