CLUSTER ALGORITHM FOR VERTEX MODELS

被引:341
作者
EVERTZ, HG [1 ]
LANA, G [1 ]
MARCU, M [1 ]
机构
[1] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH PHYS & ASTRON,IL-69978 TEL AVIV,ISRAEL
关键词
D O I
10.1103/PhysRevLett.70.875
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new type of cluster algorithm that strongly reduces critical slowing down in simulations of vertex models. Since the clusters are closed paths of bonds, we call it the loop algorithm. The basic steps in constructing a cluster are the breakup and the freezing of vertices. We concentrate on the case of the F model, which is a subset of the six-vertex model exhibiting a Kosterlitz-Thouless transition. The loop algorithm is also applicable to simulations of other vertex models and of one- and two-dimensional quantum spin systems.
引用
收藏
页码:875 / 879
页数:5
相关论文
共 16 条
[1]  
[Anonymous], 1987, QUANTUM MONTE CARLO
[2]  
Baxter R.J., 2016, EXACTLY SOLVED MODEL
[3]   CRITICAL ACCELERATION OF LATTICE GAUGE SIMULATIONS [J].
BENAV, R ;
KANDEL, D ;
KATZNELSON, E ;
LAUWERS, PG ;
SOLOMON, S .
JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (1-2) :125-139
[4]   EMBEDDED DYNAMICS FOR PHI-4 THEORY [J].
BROWER, RC ;
TAMAYO, P .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1087-1090
[5]  
EVERTZ HG, 1992, IN PRESS NUCL PHYS B
[6]   CLUSTER ALGORITHM FOR A SOLID-ON-SOLID MODEL WITH CONSTRAINTS [J].
HASENBUSCH, M ;
LANA, G ;
MARCU, M ;
PINN, K .
PHYSICAL REVIEW B, 1992, 46 (16) :10472-10475
[7]   GENERAL CLUSTER MONTE-CARLO DYNAMICS [J].
KANDEL, D ;
DOMANY, E .
PHYSICAL REVIEW B, 1991, 43 (10) :8539-8548
[8]   CLUSTER DYNAMICS FOR FULLY FRUSTRATED SYSTEMS [J].
KANDEL, D ;
BENAV, R ;
DOMANY, E .
PHYSICAL REVIEW LETTERS, 1990, 65 (08) :941-944
[9]  
Sokal A. D., 1991, Nuclear Physics B, Proceedings Supplements, V20, P55, DOI 10.1016/0920-5632(91)90881-E
[10]   NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].
SWENDSEN, RH ;
WANG, JS .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88