Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder

• 成果类型: Article
• 署名作者: Wang, WM
• 署名单位: Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s002220100169
• 发表日期: 2001
• 页码: 365-398
• 关键词: spectrum; smoothness; diffusion; density; absence; STATES; PROOF

摘要

lWe prove Anderson localization with the mean-field Lyapunov exponent and Poisson statistics for eigenvalue spacing for the multi-dimensional Anderson model at weak disorder. These results are obtained by developing the supersymmetric formalism initiated in [W1] (see also [SjW]).