Localization in Asymmetric Random Displacements Models with Infinite Range of Interaction |
| |
Authors: | Victor Chulaevsky |
| |
Affiliation: | 1.Département de Mathématiques,Université de Reims,Reims Cedex,France |
| |
Abstract: | We consider a random displacements model in a Euclidean space with an infinite-range, polynomially decaying interaction potential, without assuming any symmetry properties of the latter, and give an elementary proof of eigenvalue concentration estimates without resorting to a more traditional Wegner-type analysis or explicit ground state energy minimization. In the strong disorder/semi-classical regime, we prove exponential spectral and dynamical localization, with sub-exponential decay of the eigenfunction correlators. Prior works focused on compactly supported interactions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|