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.
引用
收藏
页数:4
相关论文
共 51 条
  • [1] Scalings of domain wall energies in two dimensional Ising spin glasses
    Amoruso, C
    Marinari, E
    Martin, OC
    Pagnani, A
    [J]. PHYSICAL REVIEW LETTERS, 2003, 91 (08)
  • [2] LOWER CRITICAL DIMENSION OF THE RANDOM-FIELD ISING-MODEL - A MONTE-CARLO STUDY
    ANDELMAN, D
    ORLAND, H
    WIJEWARDHANA, LCR
    [J]. PHYSICAL REVIEW LETTERS, 1984, 52 (02) : 145 - 148
  • [3] Interface energies in Ising spin glasses
    Aspelmeier, T
    Moore, MA
    Young, AP
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (12) : 4
  • [4] Critical behavior of the three-dimensional Ising spin glass
    Ballesteros, HG
    Cruz, A
    Fernández, LA
    Martín-Mayor, V
    Pech, J
    Ruiz-Lorenzo, JJ
    Tarancón, A
    Téllez, P
    Ullod, CL
    Ungil, C
    [J]. PHYSICAL REVIEW B, 2000, 62 (21) : 14237 - 14245
  • [5] ON THE COMPUTATIONAL-COMPLEXITY OF ISING SPIN-GLASS MODELS
    BARAHONA, F
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10): : 3241 - 3253
  • [6] DIMENSIONAL EXPANSIONS
    BENDER, CM
    BOETTCHER, S
    LIPATOV, L
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (25) : 3674 - 3677
  • [7] Critical exponents in Ising spin glasses
    Bernardi, LW
    Campbell, IA
    [J]. PHYSICAL REVIEW B, 1997, 56 (09): : 5271 - 5275
  • [8] Obtaining stiffness exponents from bond-diluted lattice spin glasses
    Boettcher, S
    Cooke, SE
    [J]. PHYSICAL REVIEW B, 2005, 71 (21)
  • [9] Reduction of two-dimensional dilute Ising spin glasses
    Boettcher, S
    Hartmann, AK
    [J]. PHYSICAL REVIEW B, 2005, 72 (01)
  • [10] Extremal optimization for Sherrington-Kirkpatrick spin glasses
    Boettcher, S
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2005, 46 (04) : 501 - 505