Universal Nature of Replica Symmetry Breaking in Quantum Systems with Gaussian Disorder

被引：0
作者：
C. Itoi
机构：
[1] Nihon University,Department of Physics, GS & CST
来源：
Journal of Statistical Physics | 2017年 / 167卷
关键词：
Quenched disorder; Quantum spin systems; Replica symmetry breaking; Spontaneous symmetry breaking; Long range order; Self-averaging; Order parameter; Spin Overlap;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study quantum spin systems with quenched Gaussian disorder. We prove that the variance of all physical quantities in a certain class vanishes in the infinite volume limit. We study also replica symmetry breaking phenomena, where the variance of an overlap operator in the other class does not vanish in the replica symmetric Gibbs state. On the other hand, it vanishes in a spontaneous replica symmetry breaking Gibbs state defined by applying an infinitesimal replica symmetry breaking field. We prove also that the finite variance of the overlap operator in the replica symmetric Gibbs state implies the existence of a spontaneous replica symmetry breaking.
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页码：1262 / 1279
页数：17
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