The critical exponents of the two-dimensional Ising spin glass revisited: Exact ground-state calculations and Monte Carlo simulations

被引:99
作者
Rieger, H
Santen, L
Blasum, U
Diehl, M
Junger, M
Rinaldi, G
机构
[1] UNIV COLOGNE, INST THEORET PHYS, D-50937 COLOGNE, GERMANY
[2] UNIV COLOGNE, ZENTRUM PARALLELES RECHEN, D-50937 COLOGNE, GERMANY
[3] UNIV COLOGNE, INST INFORMAT, D-50937 COLOGNE, GERMANY
[4] CNR, IST ANAL SISTERNI & INFORMAT, I-00185 ROME, ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 14期
关键词
D O I
10.1088/0305-4470/29/14/018
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The critical exponents for T --> 0 of the two-dimensional Ising spin-glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to L = 50 and by a Monte Carlo study of a pseudo-ferromagnetic order parameter. We obtain: for the stiffness exponent y(= theta) = -0.281 +/- 0.002, for the magnetic exponent delta = 1.48 +/- 0.01 and for the chaos exponent zeta = 1.05 +/- 0.05. From Monte Carlo simulations we get the thermal exponent nu = 3.6 +/- 0.2. The scaling prediction y = -1/nu is fulfilled within the error bars, whereas there is a disagreement with the relation y = 1 - delta.
引用
收藏
页码:3939 / 3950
页数:12
相关论文
共 28 条
[1]   AN APPLICATION OF COMBINATORIAL OPTIMIZATION TO STATISTICAL PHYSICS AND CIRCUIT LAYOUT DESIGN [J].
BARAHONA, F ;
GROTSCHEL, M ;
JUNGER, M ;
REINELT, G .
OPERATIONS RESEARCH, 1988, 36 (03) :493-513
[2]   ON THE COMPUTATIONAL-COMPLEXITY OF ISING SPIN-GLASS MODELS [J].
BARAHONA, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :3241-3253
[3]   GROUND-STATE MAGNETIZATION OF ISING SPIN-GLASSES [J].
BARAHONA, F .
PHYSICAL REVIEW B, 1994, 49 (18) :12864-12867
[4]   NUMERICAL-STUDIES OF ISING SPIN-GLASSES IN 2, 3, AND 4 DIMENSIONS [J].
BHATT, RN ;
YOUNG, AP .
PHYSICAL REVIEW B, 1988, 37 (10) :5606-5614
[5]  
Bray A. J., 1988, Comments on Condensed Matter Physics, V14, P21
[6]   NON-ANALYTIC MAGNETIC-FIELD DEPENDENCE OF THE MAGNETIZATION IN SPIN-GLASSES [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (23) :L613-L619
[7]   LOWER CRITICAL DIMENSION OF ISING SPIN-GLASSES - A NUMERICAL STUDY [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (18) :L463-L468
[8]   CHAOTIC NATURE OF THE SPIN-GLASS PHASE [J].
BRAY, AJ ;
MOORE, MA .
PHYSICAL REVIEW LETTERS, 1987, 58 (01) :57-60
[9]  
BRAY AJ, 1986, ADV PHASE TRANSITION
[10]  
BRAY AJ, 1985, HEID C GLASS DYN OPT