The phase diagram of Levy spin glasses

被引:18
|
作者
Neri, I. [1 ]
Metz, F. L. [1 ]
Bolle, D. [1 ]
机构
[1] Katholieke Univ Leuven, Inst Theoret Phys, B-3001 Heverlee, Belgium
来源
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年
关键词
cavity and replica method; disordered systems (theory); spin glasses (theory); MEAN-FIELD-THEORY; FINITE CONNECTIVITY; RANDOM MATRICES; MODEL; TEMPERATURE; SYSTEMS;
D O I
10.1088/1742-5468/2010/01/P01010
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study a fully connected spin-glass model in which the coupling strengths are drawn from a Levy distribution. In this model each spin can be seen as interacting through a finite number of strong bonds and an infinite number of weak bonds, due to the large tail behavior of the coupling distribution. We solve the model through the replica and the cavity method. The hybrid behavior of Levy spin glasses becomes transparent in our solution: the local field contains a part propagating along a backbone of strong bonds and a Gaussian noise term due to weak bonds. Our method allows us to determine the complete replica symmetric phase diagram, the replica symmetry breaking line and the entropy. The results are compared with ones from simulations and previous calculations using a Gaussian ansatz for the distribution of fields.
引用
收藏
页数:21
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