NEW CRITICAL-POINT FOR 2-DIMENSIONAL XY-TYPE MODELS

被引:48
作者
JONSSON, A
MINNHAGEN, P
NYLEN, M
机构
[1] Department of Theoretical Physics, Umeå University
关键词
D O I
10.1103/PhysRevLett.70.1327
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new critical point is established through Monte Carlo simulations for a class of two dimensional XY models with a modified nearest-neighbor spin interaction. The critical exponents found are nu almost-equal-to 1.4, beta almost-equal-to 0.6, and an alpha < 0, consistent with hyperscaling. The phase transition is interpreted as a vortex-unbinding transition. Comparisons are made with the phase diagram of the two dimensional Coulomb gas and with the spin-1/2 XY model.
引用
收藏
页码:1327 / 1330
页数:4
相关论文
共 36 条
[11]   CRITICAL PROPERTIES OF 2-DIMENSIONAL XY-MODEL [J].
KOSTERLITZ, JM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (06) :1046-1060
[12]   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
[13]   NEW CRITICAL-BEHAVIOR IN THE DENSE 2-DIMENSIONAL CLASSICAL COULOMB GAS [J].
LEE, JR ;
TEITEL, S .
PHYSICAL REVIEW LETTERS, 1990, 64 (13) :1483-1486
[14]   DENSE 2-DIMENSIONAL CLASSICAL COULOMB GAS ON A TRIANGULAR LATTICE [J].
LEE, JR ;
TEITEL, S .
PHYSICAL REVIEW LETTERS, 1991, 66 (16) :2100-2103
[15]   NEW NUMERICAL-METHOD TO STUDY PHASE-TRANSITIONS [J].
LEE, JY ;
KOSTERLITZ, JM .
PHYSICAL REVIEW LETTERS, 1990, 65 (02) :137-140
[16]   3-DIMENSIONAL Q-STATE POTTS-MODEL - MONTE-CARLO STUDY NEAR Q=3 [J].
LEE, JY ;
KOSTERLITZ, JM .
PHYSICAL REVIEW B, 1991, 43 (01) :1268-1271
[17]   LOW-TEMPERATURE PHASE OF THE 2-DIMENSIONAL QUANTUM XY MODEL [J].
MAKIVIC, MS .
PHYSICAL REVIEW B, 1992, 46 (05) :3167-3170
[18]   ABSENCE OF FERROMAGNETISM OR ANTIFERROMAGNETISM IN ONE- OR 2-DIMENSIONAL ISOTROPIC HEISENBERG MODELS [J].
MERMIN, ND ;
WAGNER, H .
PHYSICAL REVIEW LETTERS, 1966, 17 (22) :1133-&
[19]   1ST-ORDER VERSUS KOSTERLITZ-THOULESS TRANSITION IN A CLASS OF MODIFIED XY-MODELS [J].
MILA, F .
PHYSICAL REVIEW B, 1993, 47 (01) :442-445
[20]   RESULTS FOR THE PHASE-DIAGRAM OF THE TWO-DIMENSIONAL COULOMB GAS [J].
MINNHAGEN, P ;
WALLIN, M .
PHYSICAL REVIEW B, 1989, 40 (07) :5109-5130