Exponential decay of correlations in the two-dimensional random field Ising model

• 成果类型: Article
• 署名作者: Ding, Jian; Xia, Jiaming
• 署名单位: University of Pennsylvania
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01024-y
• 发表日期: 2021
• 页码: 999-1045
• 关键词: dimension; systems; state

摘要

We study the random field Ising model on Z(2) where the external field is given by i.i.d. Gaussian variables with mean zero and positive variance. We show that the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary.