Calculation of ground states of four-dimensional ±J Ising spin glasses

被引:44
作者
Hartmann, AK [1 ]
机构
[1] Inst Theoret Phys, D-37073 Gottingen, Germany
来源
PHYSICAL REVIEW E | 1999年 / 60卷 / 05期
关键词
D O I
10.1103/PhysRevE.60.5135
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Ground states of four-dimensional (d=4) Edwards-Anderson Ising spin glasses are calculated for sizes up to 7x7x7x7 using a combination of a genetic algorithm and cluster-exact approximation. The ground-state energy of the infinite system is extrapolated as e(0)(infinity)= -2.095(1). The ground-state stiffness (or domain wall) energy Delta is calculated. A \Delta\similar to L-Theta s behavior with Theta(s) = 0.64(5) is found which confirms that the d=4 model has an equilibrium spin-glass-paramagnet transition for nonzero T-c. [S1063-651X(99)13710-3].
引用
收藏
页码:5135 / 5138
页数:4
相关论文
共 36 条
[1]  
[Anonymous], MATH PRELIMINARIES C
[2]  
[Anonymous], GRAPHS NETWORKS ALGO
[3]   NUMERICAL EVIDENCE OF A CRITICAL LINE IN THE 4D ISING SPIN-GLASS [J].
BADONI, D ;
CIRIA, JC ;
PARISI, G ;
RITORT, F ;
PECH, J ;
RUIZLORENZO, JJ .
EUROPHYSICS LETTERS, 1993, 21 (04) :495-499
[4]   ON THE COMPUTATIONAL-COMPLEXITY OF ISING SPIN-GLASS MODELS [J].
BARAHONA, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :3241-3253
[5]   Critical exponents in Ising spin glasses [J].
Bernardi, LW ;
Campbell, IA .
PHYSICAL REVIEW B, 1997, 56 (09) :5271-5275
[6]   SEARCH FOR A TRANSITION IN THE 3-DIMENSIONAL +/- J ISING SPIN-GLASS [J].
BHATT, RN ;
YOUNG, AP .
PHYSICAL REVIEW LETTERS, 1985, 54 (09) :924-927
[7]   SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].
BINDER, K ;
YOUNG, AP .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976
[8]   A HEURISTIC THEORY OF THE SPIN-GLASS PHASE [J].
BOVIER, A ;
FROHLICH, J .
JOURNAL OF STATISTICAL PHYSICS, 1986, 44 (3-4) :347-391
[9]   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
[10]   RANDOM-ENERGY MODEL - AN EXACTLY SOLVABLE MODEL OF DISORDERED-SYSTEMS [J].
DERRIDA, B .
PHYSICAL REVIEW B, 1981, 24 (05) :2613-2626