FERRIMAGNETIC PHASES IN THE BLUME-EMERY-GRIFFITHS MODEL - IMPLICATIONS FOR THE ANTIFERROMAGNETIC POTTS-MODEL

被引:34
作者
ROSENGREN, A [1 ]
LAPINSKAS, S [1 ]
机构
[1] VILNIUS UNIV,FAC PHYS,VILNIUS 2054,LITHUANIA
关键词
D O I
10.1103/PhysRevLett.71.165
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The cluster-variation method is used to study the phase diagram of the Blume-Emery-Griffiths model on a simple cubic lattice. The main attention is paid to the ferrimagnetic phases occurring in a certain range of coupling parameters. A new topology, including three ferrimagnetic phases, is obtained in the vicinity of the line in parameter space where the model reduces to the antiferromagnetic three-state Potts model. The results imply the existence of three phase transitions in the antiferromagnetic Potts model.
引用
收藏
页码:165 / 168
页数:4
相关论文
共 27 条
[1]   ORDERING AND PHASE-TRANSITIONS IN ANTI-FERROMAGNETIC POTTS MODELS [J].
BANAVAR, JR ;
GREST, GS ;
JASNOW, D .
PHYSICAL REVIEW LETTERS, 1980, 45 (17) :1424-1428
[2]   GROUND-STATE ENTROPY AND ALGEBRAIC ORDER AT LOW-TEMPERATURES [J].
BERKER, AN ;
KADANOFF, LP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07) :L259-L264
[3]   BLUME-EMERY-GRIFFITHS-POTTS MODEL IN 2 DIMENSIONS - PHASE-DIAGRAM AND CRITICAL PROPERTIES FROM A POSITION-SPACE RENORMALIZATION GROUP [J].
BERKER, AN ;
WORTIS, M .
PHYSICAL REVIEW B, 1976, 14 (11) :4946-4963
[4]   ISING MODEL FOR LAMBDA TRANSITION AND PHASE SEPARATION IN HE-3-HE-4 MIXTURES [J].
BLUME, M ;
EMERGY, VJ ;
GRIFFITHS, RB .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 4 (03) :1071-+
[5]   GLOBAL PHASE-DIAGRAM FOR A 3-COMPONENT MODEL [J].
FURMAN, D ;
DATTAGUPTA, S ;
GRIFFITHS, RB .
PHYSICAL REVIEW B, 1977, 15 (01) :441-464
[6]   MONTE-CARLO STUDY OF THE ANTI-FERROMAGNETIC POTTS-MODEL IN 2 DIMENSIONS [J].
GREST, GS ;
BANAVAR, JR .
PHYSICAL REVIEW LETTERS, 1981, 46 (22) :1458-1461
[7]   ORDERING IN ANTIFERROMAGNETIC POTTS MODELS [J].
HOPPE, B ;
HIRST, LL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (17) :3375-3380
[8]   A SPIN-ONE ISING-MODEL ON A HONEYCOMB LATTICE [J].
HORIGUCHI, T .
PHYSICS LETTERS A, 1986, 113 (08) :425-428
[9]   MULTICRITICAL PHASE-DIAGRAMS OF THE BLUME-EMERY-GRIFFITHS MODEL WITH REPULSIVE BIQUADRATIC COUPLING [J].
HOSTON, W ;
BERKER, AN .
PHYSICAL REVIEW LETTERS, 1991, 67 (08) :1027-1030
[10]   DIMENSIONALITY EFFECTS ON THE MULTICRITICAL PHASE-DIAGRAMS OF THE BLUME-EMERY-GRIFFITHS MODEL WITH REPULSIVE BIQUADRATIC COUPLING - MEAN-FIELD AND RENORMALIZATION-GROUP STUDIES [J].
HOSTON, W ;
BERKER, AN .
JOURNAL OF APPLIED PHYSICS, 1991, 70 (10) :6101-6103