Anomalous distribution of magnetization in an Ising spin glass with correlated disorder

被引:1
作者
Nishimori, Hidetoshi [1 ,2 ,3 ]
机构
[1] Inst Sci Tokyo, Inst Integrated Res, Nagatsuta Cho Midori Ku, Yokohama 2268503, Japan
[2] Tohoku Univ, Grad Sch Informat Sci, Sendai 9808579, Japan
[3] RIKEN Interdisciplinary Theoret & Math Sci iTHEMS, Wako, Saitama 3510198, Japan
关键词
CHAOS; MODEL; UNIVERSALITY; ENERGY; CODES; PHASE; NOISE;
D O I
10.1103/PhysRevE.110.064108
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The effect of correlations in disorder variables is a largely unexplored topic in spin glass theory. We study this problem through a specific example of correlated disorder introduced in the Ising spin glass model. We prove that the distribution function of the magnetization along the Nishimori line in the present model is identical to the distribution function of the spin glass order parameter in the standard Edwards-Anderson model with symmetrically distributed independent disorder. This result means that if the Edwards-Anderson model exhibits replica symmetry breaking, the magnetization distribution in the correlated model has support on a finite interval, in sharp contrast to the conventional understanding that the magnetization distribution has, at most, two delta peaks. This unusual behavior challenges the traditional argument against replica symmetry breaking on the Nishimori line in the Edwards-Anderson model. In addition, we show that when temperature chaos is present in the Edwards-Anderson model, the ferromagnetic phase is strictly confined to the Nishimori line in the present model. These findings are valid not only for finite-dimensional systems but also for the infinite-range model, and highlight the need for a deeper understanding of disorder correlations in spin glass systems.
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页数:9
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