FREE-VORTEX FORMATION AND TOPOLOGICAL PHASE-TRANSITIONS OF 2-DIMENSIONAL SPIN SYSTEMS

被引：40

作者：

KAWAMURA, H ^{[1
]}

KIKUCHI, M ^{[1
]}

机构：

[1] OSAKA UNIV,FAC SCI,DEPT PHYS,TOYONAKA,OSAKA 560,JAPAN

来源：

PHYSICAL REVIEW B | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevB.47.1134

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical method to study defect-mediated phase transitions is proposed, which combines a standard Monte Carlo technique with a particular type of boundary conditions. The method is applied to the two-dimensional XY (plane rotator) model as well as to the two-dimensional SO(3) Heisenberg model which models a triangular-lattice Heisenberg antiferromagnet. Our results give a direct numerical support for the occurrence of a topological transition in these systems driven by the vortex binding-unbinding.

引用

页码：1134 / 1137

页数：4

共 20 条

[1] CRITICAL-BEHAVIOR OF THE TWO-DIMENSIONAL XY MODEL - A MONTE-CARLO SIMULATION [J].

FERNANDEZ, JF ;

FERREIRA, MF ;

STANKIEWICZ, J .

PHYSICAL REVIEW B, 1986, 34 (01) :292-300

[2] DOES MONTE-CARLO SUPPORT THE KOSTERLITZ-THOULESS SCENARIO [J].

FUCITO, F ;

SOLOMON, S .

PHYSICS LETTERS B, 1984, 134 (3-4) :235-240

[3] MONTE-CARLO RENORMALIZATION-GROUP STUDY OF THE XY MODEL [J].

HARTEN, P ;

SURANYI, P .

NUCLEAR PHYSICS B, 1986, 265 (04) :615-629

[4] PHASE-TRANSITION OF THE 2-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET ON THE TRIANGULAR LATTICE [J].

KAWAMURA, H ;

MIYASHITA, S .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (12) :4138-4154

[5] FREE-VORTEX FORMATION OF THE PLANE ROTATOR MODEL [J].

KIKUCHI, M ;

KAWAMURA, H .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1992, 104 (pt 1) :227-228

[6] ROLE OF VORTEX STRINGS IN THE 3-DIMENSIONAL O(2) MODEL [J].

KOHRING, G ;

SHROCK, RE ;

WILLS, P .

PHYSICAL REVIEW LETTERS, 1986, 57 (11) :1358-1361

[7] CRITICAL PROPERTIES OF 2-DIMENSIONAL XY-MODEL [J].

KOSTERLITZ, JM .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (06) :1046-1060

[8] ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].

Kosterlitz, JM ;

Thouless, DJ .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203

[9]

LAU M, 1989, PHYS REV B, V40, P7212

[10]

MINHAGEN P, 1988, PHYSICA B, V152, P50

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