Corrections to scaling are large for droplets in two-dimensional spin glasses

被引:32
作者
Hartmann, AK
Moore, MA
机构
[1] Univ Gottingen, Inst Theoret Phys, D-37037 Gottingen, Germany
[2] Univ Manchester, Dept Phys & Astron, Manchester M13 9PL, Lancs, England
关键词
D O I
10.1103/PhysRevLett.90.127201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The energy of a droplet of linear extent l in the droplet theory of spin glasses goes as l(theta) for large l. It is shown by numerical studies of large droplets in two-dimensional systems that this formula needs to be modified by the addition of a scaling correction l(-omega) in order to accurately describe droplet energies at the length scales currently probed in numerical simulations. Using this simple modification, it is now possible to explain many results which have been found in simulations of three-dimensional Ising spin glasses with the droplet model.
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页数:4
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共 32 条
[1]  
[Anonymous], GLASSY DYNAMICS OPTI
[2]   NATURE OF ORDERING IN SPIN-GLASSES [J].
BANAVAR, JR ;
CIEPLAK, M .
PHYSICAL REVIEW LETTERS, 1982, 48 (12) :832-835
[3]   ON THE GROUND-STATES OF THE FRUSTRATION MODEL OF A SPIN-GLASS BY A MATCHING METHOD OF GRAPH-THEORY [J].
BIECHE, I ;
MAYNARD, R ;
RAMMAL, R ;
UHRY, JP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08) :2553-2576
[4]   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
[5]   Aspect-ratio scaling and the stiffness exponent θ for Ising spin glasses -: art. no. 077201 [J].
Carter, AC ;
Bray, AJ ;
Moore, MA .
PHYSICAL REVIEW LETTERS, 2002, 88 (07) :4
[6]   ORDERED PHASE OF SHORT-RANGE ISING SPIN-GLASSES [J].
FISHER, DS ;
HUSE, DA .
PHYSICAL REVIEW LETTERS, 1986, 56 (15) :1601-1604
[7]   EQUILIBRIUM BEHAVIOR OF THE SPIN-GLASS ORDERED PHASE [J].
FISHER, DS ;
HUSE, DA .
PHYSICAL REVIEW B, 1988, 38 (01) :386-411
[8]  
Hartmann A. K., 2001, OPTIMIZATION ALGORIT
[9]   Large-scale low-energy excitations in the two-dimensional Ising spin glass [J].
Hartmann, AK ;
Young, AP .
PHYSICAL REVIEW B, 2002, 66 (09) :1-9
[10]   Lower critical dimension of Ising spin glasses [J].
Hartmann, AK ;
Young, AP .
PHYSICAL REVIEW B, 2001, 64 (18)