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

被引：0

作者：

Wei-Min Wang

机构：

[1] UMR 8628 du CNRS,

[2] Département de mathématiques,undefined

[3] Université Paris-Sud,undefined

[4] Bâtiment 425,undefined

[5] 91405 Orsay Cedex,undefined

[6] France (e-mail: wei-min.wang@math.u-psud.fr),undefined

来源：

Inventiones mathematicae | 2001年 / 146卷

关键词：

Mathematics Subject Classification (1991): 35P, 60K, 81V;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We 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]). rid

引用

页码：365 / 398

页数：33

共 50 条

[1] Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder
Wang, WM
INVENTIONES MATHEMATICAE, 2001, 146 (02) : 365 - 398
[2] Localization and eigenvalue statistics for the lattice Anderson model with discrete disorder
Imbrie, John Z.
REVIEWS IN MATHEMATICAL PHYSICS, 2021, 33 (08)
[3] Poisson statistics for Anderson model with singular randomness
Dolai, Dhriti Ranjan
Krishna, M.
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2015, 30 (03) : 251 - 266
[4] Poisson statistics of eigenvalues in the hierarchical Anderson model
Kritchevski, Evgenij
ANNALES HENRI POINCARE, 2008, 9 (04): : 685 - 709
[5] Poisson Statistics of Eigenvalues in the Hierarchical Anderson Model
Evgenij Kritchevski
Annales Henri Poincaré, 2008, 9 : 685 - 709
[6] Super-Universality in Anderson Localization
Horvath, Ivan
Markos, Peter
PHYSICAL REVIEW LETTERS, 2022, 129 (10)
[7] Realistic model of correlated disorder and Anderson localization
Flambaum, VV
Sokolov, VV
PHYSICAL REVIEW B, 1999, 60 (07): : 4529 - 4531
[8] WEAK-DISORDER EXPANSION FOR THE ANDERSON MODEL ON A TREE
MILLER, JD
DERRIDA, B
JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (3-4) : 357 - 388
[9] Renormalization flow of the hierarchical Anderson model at weak disorder
Metz, F. L.
Leuzzi, L.
Parisi, G.
PHYSICAL REVIEW B, 2014, 89 (06)
[10] Anderson localization in quantum chaos:: Scaling and universality
Garcia-Garcia, A. M.
Wang, J.
ACTA PHYSICA POLONICA A, 2007, 112 (04) : 635 - 653

← 1 2 3 4 5 →