DIMENSIONALITY EFFECTS ON THE MULTICRITICAL PHASE-DIAGRAMS OF THE BLUME-EMERY-GRIFFITHS MODEL WITH REPULSIVE BIQUADRATIC COUPLING - MEAN-FIELD AND RENORMALIZATION-GROUP STUDIES

被引：70

作者：

HOSTON, W

BERKER, AN

机构：

[1] Department of Physics, Massachusetts Institute of Technology, Cambridge

来源：

JOURNAL OF APPLIED PHYSICS | 1991年 / 70卷 / 10期

关键词：

D O I：

10.1063/1.350059

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Six new phase diagrams, including a novel multicritical topology and two new ordered phases, are obtained by the global mean-field theory of the spin-1 Ising model with only nearest-neighbor interactions, for negative biquadratic couplings. Renormalization-group studies indicate a threshold spatial dimension, above and below which different sequences of phase diagrams occur.

引用

收藏

页码：6101 / 6103

页数：3

相关论文

共 18 条

[1]

ANDELMAN D, 1981, J PHYS A, V14, pL91

[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] RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING [J].

BERKER, AN ;

OSTLUND, S .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (22) :4961-4975

[4] RENORMALIZATION-GROUP TREATMENT OF A POTTS LATTICE GAS FOR KRYPTON ADSORBED ONTO GRAPHITE [J].

BERKER, AN ;

OSTLUND, S ;

PUTNAM, FA .

PHYSICAL REVIEW B, 1978, 17 (09) :3650-3665

[5] 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

[6] 1ST-ORDER AND 2ND-ORDER PHASE-TRANSITIONS IN POTTS MODELS - COMPETING MECHANISMS [J].

BERKER, AN ;

ANDELMAN, D .

JOURNAL OF APPLIED PHYSICS, 1982, 53 (11) :7923-7926

[7]

BERKER AN, 1980, J PHYS A-MATH GEN, V13, pL413, DOI 10.1088/0305-4470/13/11/007

[8] 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-+

[9] DIPOLE AND QUADRUPOLE PHASE-TRANSITIONS IN SPIN-1 MODELS [J].

CHEN, HH ;

LEVY, PM .

PHYSICAL REVIEW B, 1973, 7 (09) :4267-4284

[10] 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