Metastable states in spin glasses with short-ranged interactions
Metastable states in spin glasses with short-ranged interactions
复制标题
自旋玻璃中具有短程相互作用的亚稳态
DOI：
10.1088/0022-3719/14/9/016
复制
发表时间：
1981
期刊：
影响因子：
--
通讯作者：
M. .. Moore
中科院分区：
文献类型：
--
作者：
A. Bray;M. .. Moore
本文发展了一种计算伊辛自旋玻璃中能量为E的亚稳态（即一个自旋翻转稳定态）密度NS（E）的方法。结果，最近邻相互作用的超立方晶格O（1/z），其中z是配位数，为E>或=Ec，一个临界能量低于该亚稳态成为相关的。临界行为与过渡在Ec是非经典的，在小于六个维度，与临界指数相同的热自旋玻璃化转变。结果还提出了一个非对称分布的交换相互作用。
A formalism is developed for calculating the density NS(E) of metastable (i.e. one spin-flip stable) states of energy E for Ising spin glasses. Results are presented, for nearest-neighbour interactions on hypercubic lattices to O(1/z), where z is the coordination number, for E>or=Ec, a critical energy below which the metastable states become correlated. The critical behaviour associated with the transition at Ec is non-classical in less than six dimensions, with critical exponents identical to those of the thermal spin glass transition. Results are also presented for an asymmetric distribution of exchange interactions.