Stiffness of the Edwards-Anderson model in all dimensions

被引:75
作者
Boettcher, S [1 ]
机构
[1] Emory Univ, Dept Phys, Atlanta, GA 30322 USA
关键词
D O I
10.1103/PhysRevLett.95.197205
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A comprehensive description in all dimensions is provided for the scaling exponent y of low-energy excitations in the Ising spin glass introduced by Edwards and Anderson. A combination of extensive numerical as well as theoretical results suggest that its lower critical dimension is exactly d(l)=5/2. Such a result would be an essential feature of any complete theory of low-temperature spin glass order and imposes a constraint that may help to distinguish between theories.
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页数:4
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共 51 条
[31]   RANDOM-FIELD INSTABILITY OF ORDERED STATE OF CONTINUOUS SYMMETRY [J].
IMRY, Y ;
MA, S .
PHYSICAL REVIEW LETTERS, 1975, 35 (21) :1399-1401
[32]   Dynamical breakdown of the Ising spin-glass order under a magnetic field -: art. no. 180412 [J].
Jönsson, PE ;
Takayama, H ;
Katori, HA ;
Ito, A .
PHYSICAL REVIEW B, 2005, 71 (18)
[33]   NOTES ON MIGDALS RECURSION FORMULAS [J].
KADANOFF, LP .
ANNALS OF PHYSICS, 1976, 100 (1-2) :359-394
[34]   SERIES EXPANSIONS FOR THE ISING SPIN-GLASS IN GENERAL DIMENSION [J].
KLEIN, L ;
ADLER, J ;
AHARONY, A ;
HARRIS, AB ;
MEIR, Y .
PHYSICAL REVIEW B, 1991, 43 (13) :11249-11273
[35]   Spin and link overlaps in three-dimensional spin glasses [J].
Krzakala, F ;
Martin, OC .
PHYSICAL REVIEW LETTERS, 2000, 85 (14) :3013-3016
[36]  
MARINARI E, 1998, SPIN GLASSES RANDOM
[37]   Lower critical dimension of the XY spin-glass model [J].
Maucourt, J ;
Grempel, DR .
PHYSICAL REVIEW LETTERS, 1998, 80 (04) :770-773
[38]   DOMAIN-WALL RENORMALIZATION-GROUP STUDY OF THE 3-DIMENSIONAL RANDOM ISING-MODEL [J].
MCMILLAN, WL .
PHYSICAL REVIEW B, 1984, 30 (01) :476-477
[39]  
Mezard M., 1987, SPIN GLASS THEORY
[40]  
MIGDAL AA, 1976, SOV PHYS JETP, V42, P743