A cluster Monte Carlo algorithm for 2-dimensional spin glasses

被引:121
作者
Houdayer, J [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
关键词
D O I
10.1007/PL00011151
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional +/-J Edwards-Anderson model. The new algorithm allows us to equilibrate systems of size 100(2) down to temperature T = 0.1. Our main result is that the correlation length diverges as an exponential (xi similar to e(2 betaJ)) and not as a power law as T --> T-c = 0.
引用
收藏
页码:479 / 484
页数:6
相关论文
共 20 条
[11]  
MARINARI E, 1998, SPIN GLASSES RANDOM
[12]   Cluster heat bath algorithm in Monte Carlo simulations of ising models [J].
Matsubara, F ;
Sato, A ;
Koseki, O ;
Shirakura, T .
PHYSICAL REVIEW LETTERS, 1997, 78 (17) :3237-3240
[13]   SCALING THEORY OF ISING SPIN-GLASSES [J].
MCMILLAN, WL .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (18) :3179-3187
[14]   Graphical representations and cluster algorithms for critical points with fields [J].
Redner, O ;
Machta, J ;
Chayes, LF .
PHYSICAL REVIEW E, 1998, 58 (03) :2749-2752
[15]   EXACT INTEGER ALGORITHM FOR THE 2-DIMENSIONAL +/-J ISING SPIN-GLASS [J].
SAUL, L ;
KARDAR, M .
PHYSICAL REVIEW E, 1993, 48 (05) :R3221-R3224
[16]   Reexamination of the SG transition in the two-dimensional +/-J Ising model [J].
Shirakura, T ;
Matsubara, F .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (10) :3138-3141
[17]  
SHIRAKURA T, CONDMAT0011235
[18]   REPLICA MONTE-CARLO SIMULATION OF SPIN-GLASSES [J].
SWENDSEN, RH ;
WANG, JS .
PHYSICAL REVIEW LETTERS, 1986, 57 (21) :2607-2609
[19]   NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].
SWENDSEN, RH ;
WANG, JS .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88
[20]   COLLECTIVE MONTE-CARLO UPDATING FOR SPIN SYSTEMS [J].
WOLFF, U .
PHYSICAL REVIEW LETTERS, 1989, 62 (04) :361-364