Spherical analogues of some non-Ising spin glass models: Exact solutions

被引:0
|
作者
E. E. Tareyeva
机构
[1] RAS,Institute for High Pressure Physics
来源
关键词
spin glass; spherical approximation; exact solution;
D O I
暂无
中图分类号
学科分类号
摘要
We consider several models of non-Ising spin glass for which we can naturally formulate an analogue of spherical conditions well known for the Ising model. We calculate the partition functions of the obtained models exactly. The random matrix method and the replica method yield identical results.
引用
收藏
页码:1358 / 1364
页数:6
相关论文
共 50 条
  • [1] Spherical analogues of some non-Ising spin glass models: Exact solutions
    Tareyeva, E. E.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 168 (03) : 1358 - 1364
  • [2] Some peculiarities in the behavior of non-Ising spin glasses
    E. E. Tareyeva
    T. I. Schelkacheva
    N. M. Chtchelkatchev
    Theoretical and Mathematical Physics, 2015, 182 : 437 - 447
  • [3] SOME PECULIARITIES IN THE BEHAVIOR OF NON-ISING SPIN GLASSES
    Tareyeva, E. E.
    Schelkacheva, T. I.
    Chtchelkatchev, N. M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2015, 182 (03) : 437 - 447
  • [4] SPHERICAL APPROXIMATION TO AN ISING SPIN GLASS
    SOUTHERN, BW
    YOUNG, AP
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1977, 10 (04): : L79 - L83
  • [5] Exact mappings between fermionic Ising spin-glass and classical spin-glass models
    Castillo, IP
    Sherrington, D
    PHYSICAL REVIEW B, 2005, 72 (10):
  • [6] Exact solutions of a class of S=1 quantum Ising spin models
    Yang, Zhi-Hua
    Yang, Li-Ping
    Wu, Hai-Na
    Dai, Jianhui
    Xiang, Tao
    PHYSICAL REVIEW B, 2009, 79 (21)
  • [7] Exact sampling hardness of Ising spin models
    Fefferman, B.
    Foss-Feig, M.
    Gorshkov, A. V.
    PHYSICAL REVIEW A, 2017, 96 (03)
  • [9] Exact solutions of an Ising spin chain with a spin-1 impurity
    黄旭初
    Chinese Physics B, 2017, 26 (03) : 519 - 525
  • [10] REPLICA SYMMETRY AND MASSLESS MODES IN SPIN-GLASSES - 2 NON-ISING SPINS
    BRAY, AJ
    MOORE, MA
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (07): : 1349 - 1361