Is the Sherrington-Kirkpatrick model relevant for real spin glasses?

被引:12
作者
Young, A. P. [1 ]
机构
[1] Univ Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA
关键词
D O I
10.1088/1751-8113/41/32/324016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
I describe the results of numerical simulations which test whether the Sherrington-Kirkpatrick model, which was solved by Parisi, applies to short-range spin glasses. I conclude that it probably does for dimension d greater than 6, but there appear to be some differences in lower dimensions. In particular, there does not appear to be the line of transitions in a magnetic field ( AT line) which is seen in the SK model.
引用
收藏
页数:10
相关论文
共 26 条
  • [1] 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
  • [2] Stiffness of the Edwards-Anderson model in all dimensions
    Boettcher, S
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (19)
  • [3] Boettcher S, 2004, EUR PHYS J B, V38, P83, DOI 10.1140/epjb/e2004-00102-5
  • [4] Bray A. J., 1986, HEIDELBERG C GLASSY, P121
  • [5] STABILITY OF SHERRINGTON-KIRKPATRICK SOLUTION OF A SPIN GLASS MODEL
    DEALMEIDA, JRL
    THOULESS, DJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (05): : 983 - 990
  • [6] THEORY OF SPIN GLASSES
    EDWARDS, SF
    ANDERSON, PW
    [J]. JOURNAL OF PHYSICS F-METAL PHYSICS, 1975, 5 (05): : 965 - 974
  • [7] ORDERED PHASE OF SHORT-RANGE ISING SPIN-GLASSES
    FISHER, DS
    HUSE, DA
    [J]. PHYSICAL REVIEW LETTERS, 1986, 56 (15) : 1601 - 1604
  • [8] EQUILIBRIUM BEHAVIOR OF THE SPIN-GLASS ORDERED PHASE
    FISHER, DS
    HUSE, DA
    [J]. PHYSICAL REVIEW B, 1988, 38 (01): : 386 - 411
  • [9] CRITICAL EXPONENTS FOR LONG-RANGE INTERACTIONS
    FISHER, ME
    NICKEL, BG
    MA, S
    [J]. PHYSICAL REVIEW LETTERS, 1972, 29 (04) : 917 - &
  • [10] Scaling of stiffness energy for three-dimensional ±J Ising spin glasses
    Hartmann, AK
    [J]. PHYSICAL REVIEW E, 1999, 59 (01): : 84 - 87