CLOSED-FORM SOLUTIONS AND FREE-ENERGY OF HARD-SPIN MEAN-FIELD THEORY OF A FULLY FRUSTRATED SYSTEM

被引：15

作者：

KABAKCIOGLU, A ^{[1
]}

BERKER, AN ^{[1
]}

YALABIK, MC ^{[1
]}

机构：

[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.49.2680

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Closed-form solutions of the hard-spin mean-field theory equations for the antiferromagnetic Ising model on a triangular lattice, with or without an external field H, are obtained, showing the lack of order for H = 0 and very good agreement with Monte Carlo data for the onset of order for nonzero H. A free energy calculation is developed, within the context of hard-spin mean-field theory, distinguishing between metastable solutions and true thermodynamic equilibrium.

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页码：2680 / 2683

页数：4

相关论文

共 10 条

[1] MONTE-CARLO MEAN-FIELD THEORY [J].

BANAVAR, JR ;

CIEPLAK, M ;

MARITAN, A .

PHYSICAL REVIEW LETTERS, 1991, 67 (13) :1807-1807

[2]

BERKER AN, 1994, DOGA TR J PHYS, V18, P354

[3] ANTIFERROMAGNETIC TRIANGULAR ISING-MODEL - CRITICAL-BEHAVIOR OF THE GROUND-STATE [J].

BLOTE, HWJ ;

NIGHTINGALE, MP .

PHYSICAL REVIEW B, 1993, 47 (22) :15046-15059

[4] PHASE-DIAGRAM OF A NEAREST NEIGHBOR TRIANGULAR ANTIFERROMAGNET IN AN EXTERNAL FIELD [J].

METCALF, BD .

PHYSICS LETTERS A, 1973, A 45 (01) :1-2

[5] SPIN-ENHANCED ORDERING IN FULLY FRUSTRATED ISING-MODELS [J].

NETZ, RR .

PHYSICAL REVIEW B, 1993, 48 (21) :16113-16115

[6] SYMMETRY-BREAKING FIELDS IN FRUSTRATED ISING SYSTEMS ON SQUARE AND CUBIC LATTICES - INCLUSIVE AND EXCLUSIVE MULTIPHASE LINES [J].

NETZ, RR .

PHYSICAL REVIEW B, 1992, 46 (02) :1209-1212

[7] MONTE-CARLO MEAN-FIELD THEORY - REPLY [J].

NETZ, RR ;

BERKER, AN .

PHYSICAL REVIEW LETTERS, 1991, 67 (13) :1808-1808

[8] MONTE-CARLO MEAN-FIELD THEORY AND FRUSTRATED SYSTEMS IN 2 AND 3 DIMENSIONS [J].

NETZ, RR ;

BERKER, AN .

PHYSICAL REVIEW LETTERS, 1991, 66 (03) :377-380

[9] HARD-SPIN MEAN-FIELD THEORY - FORMULATION FOR ISING, XY, AND OTHER MODELS [J].

NETZ, RR ;

BERKER, AN .

JOURNAL OF APPLIED PHYSICS, 1991, 70 (10) :6074-6076

[10] ANTIFERROMAGNETISM - THE TRANGULAR ISING NET [J].

WANNIER, GH .

PHYSICAL REVIEW, 1950, 79 (02) :357-364