Universal jump in the helicity modulus of the two-dimensional quantum XY model

被引:71
作者
Harada, K [1 ]
Kawashima, N [1 ]
机构
[1] TOHO UNIV,DEPT PHYS,FUNABASHI,CHIBA 274,JAPAN
来源
PHYSICAL REVIEW B | 1997年 / 55卷 / 18期
关键词
D O I
10.1103/PhysRevB.55.R11949
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The helicity modulus of the S=1/2 XY model is precisely estimated through a world-line quantum Monte Carlo method enhanced by a cluster update algorithm. The obtained estimates for various system sizes and temperatures are well fitted by a scaling form with L replaced by log(L/L-0), which is inferred from the solution of the Kosterlitz renormalization group equation. The validity of the Kosterlitz-Thouless theory for this model is confirmed.
引用
收藏
页码:11949 / 11952
页数:4
相关论文
共 23 条
[1]  
[Anonymous], UNPUB
[2]   KOSTERLITZ-THOULESS TRANSITION IN THE 2-DIMENSIONAL QUANTUM XY MODEL [J].
DING, HQ ;
MAKIVIC, MS .
PHYSICAL REVIEW B, 1990, 42 (10) :6827-6830
[3]   COMMENT ON KOSTERLITZ-THOULESS TRANSITION IN THE 2-DIMENSIONAL QUANTUM XY MODEL - REPLY [J].
DING, HQ ;
MAKIVIC, MS .
PHYSICAL REVIEW B, 1992, 45 (01) :491-492
[4]   PHASE-TRANSITION AND THERMODYNAMICS OF QUANTUM XY-MODEL IN 2 DIMENSIONS [J].
DING, HQ .
PHYSICAL REVIEW B, 1992, 45 (01) :230-242
[5]   CLUSTER ALGORITHM FOR VERTEX MODELS [J].
EVERTZ, HG ;
LANA, G ;
MARCU, M .
PHYSICAL REVIEW LETTERS, 1993, 70 (07) :875-879
[6]   PHASE-TRANSITION IN THE 2D XY MODEL [J].
GUPTA, R ;
DELAPP, J ;
BATROUNI, GG ;
FOX, GC ;
BAILLIE, CF ;
APOSTOLAKIS, J .
PHYSICAL REVIEW LETTERS, 1988, 61 (17) :1996-1999
[7]   CRITICAL-BEHAVIOR OF THE 2-DIMENSIONAL XY MODEL [J].
GUPTA, R ;
BAILLIE, CF .
PHYSICAL REVIEW B, 1992, 45 (06) :2883-2898
[8]   Cluster algorithms for anisotropic quantum spin models [J].
Kawashima, N .
JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (1-2) :131-153
[9]   CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL +/- J MODEL IN A MAGNETIC-FIELD [J].
KAWASHIMA, N ;
ITO, N .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (02) :435-438
[10]   CRITICAL PROPERTIES OF 2-DIMENSIONAL XY-MODEL [J].
KOSTERLITZ, JM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (06) :1046-1060