MONTE-CARLO STUDY OF THE BEG MODEL ON A HONEYCOMB LATTICE

被引:12
作者
BOOTH, RJC
HUA, L
TUCKER, JW
CARE, CM
HALLIDAY, I
机构
[1] UNIV SHEFFIELD,DEPT PHYS,SHEFFIELD S3 7HF,S YORKSHIRE,ENGLAND
[2] SHEFFIELD HALLAM UNIV,MAT RES INST,SHEFFIELD S1 1WB,ENGLAND
[3] SHEFFIELD HALLAM UNIV,DEPT APPL PHYS,SHEFFIELD S1 1WB,ENGLAND
关键词
D O I
10.1016/0304-8853(93)90864-X
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The spin-1 Ising model, having nearest-neighbour bilinear and biquadratic exchange interactions and single-ion anisotropy, on a honeycomb lattice is studied by Monte Carlo simulation. The second-order phase boundaries separating the ferromagnetic, staggered quadrupolar and disordered phases are mapped for a range of interaction parameters. Particular emphasis is placed on locating accurately the line of tricritical points. The results are compared with those of other methods.
引用
收藏
页码:117 / 123
页数:7
相关论文
共 44 条
[1]   PHASE-DIAGRAMS AND TRICRITICAL EFFECTS IN THE BEG MODEL [J].
ANANIKIAN, NS ;
AVAKIAN, AR ;
IZMAILIAN, NS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 172 (03) :391-404
[2]   PHASE-DIAGRAMS OF THE BLUME-EMERY-GRIFFITHS MODEL - REAL-SPACE RENORMALIZATION-GROUP INVESTIGATION AND FINITE SIZE SCALING ANALYSIS [J].
BAKCHICH, A ;
BENYOUSSEF, A ;
TOUZANI, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 186 (3-4) :524-533
[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]   STATISTICAL-MECHANICS OF A SPIN-ONE ISING-MODEL ON A BETHE LATTICE [J].
CHAKRABORTY, KG ;
TUCKER, JW .
PHYSICA A, 1986, 137 (1-2) :122-136
[6]   NEW MONTE-CARLO TECHNIQUE FOR STUDYING PHASE-TRANSITIONS [J].
FERRENBERG, AM ;
SWENDSEN, RH .
PHYSICAL REVIEW LETTERS, 1988, 61 (23) :2635-2638
[7]   GLOBAL PHASE-DIAGRAM FOR A 3-COMPONENT MODEL [J].
FURMAN, D ;
DATTAGUPTA, S ;
GRIFFITHS, RB .
PHYSICAL REVIEW B, 1977, 15 (01) :441-464
[8]   LATTICE MODEL OF MICROEMULSIONS [J].
GOMPPER, G ;
SCHICK, M .
PHYSICAL REVIEW B, 1990, 41 (13) :9148-9162
[9]   A SPIN-ONE ISING-MODEL ON A HONEYCOMB LATTICE [J].
HORIGUCHI, T .
PHYSICS LETTERS A, 1986, 113 (08) :425-428
[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