Absence of Replica Symmetry Breaking in the Transverse and Longitudinal Random Field Ising Model

被引：4
|
作者：
Itoi, C. [1 ]
机构：
[1] Nihon Univ, Dept Phys, GS & CST, Chiyoda Ku, 1-8-14 Kanda Surugadai, Tokyo 1018308, Japan
来源：
JOURNAL OF STATISTICAL PHYSICS | 2018年 / 170卷 / 04期
关键词：
Transverse field Ising model; Quantum spin systems; Gaussian random field; The FKG inequality; The Ghirlanda-Guerra identities; The Lie-Trotter-Suzuki formula; Interpolation; SPIN SYSTEMS; STATE;
D O I：
10.1007/s10955-017-1950-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is proved that replica symmetry is not broken in the transverse and longitudinal random field Ising model. In this model, the variance of spin overlap of any component vanishes in any dimension almost everywhere in the coupling constant space in the infinite volume limit. The weak Fortuin-Kasteleyn-Ginibre property in this model and the Ghirlanda-Guerra identities in artificial models in a path integral representation based on the Lie-Trotter-Suzuki formula enable us to extend Chatterjee's proof for the random field Ising model to the quantum model.
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页码：684 / 699
页数：16
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