The Weak Localization for the Alloy-Type Anderson Model on a Cubic Lattice

被引:0
|
作者
Zhenwei Cao
Alexander Elgart
机构
[1] Virginia Tech.,Department of Mathematics
来源
Journal of Statistical Physics | 2012年 / 148卷
关键词
Anderson localization; Weak disorder; Feynman diagrams; Spectral analysis;
D O I
暂无
中图分类号
学科分类号
摘要
We consider alloy type random Schrödinger operators on a cubic lattice whose randomness is generated by the sign-indefinite single-site potential. We derive Anderson localization for this class of models in the Lifshitz tails regime, i.e. when the coupling parameter λ is small, for the energies E≤−Cλ2.
引用
收藏
页码:1006 / 1039
页数:33
相关论文
共 50 条
  • [21] Hidden Anderson localization in disorder-free Ising-Kondo lattice*
    Yang, Wei-Wei
    Zhang, Lan
    Guo, Xue-Ming
    Zhong, Yin
    CHINESE PHYSICS B, 2020, 29 (10)
  • [22] Spectral Analysis of Lattice Schrödinger-Type Operators Associated with the Nonstationary Anderson Model and Intermittency
    Han, Dan
    Molchanov, Stanislav
    Vainberg, Boris
    MATHEMATICS, 2025, 13 (05)
  • [23] Weak chaos in the disordered nonlinear Schrodinger chain: Destruction of Anderson localization by Arnold diffusion
    Basko, D. M.
    ANNALS OF PHYSICS, 2011, 326 (07) : 1577 - 1655
  • [24] Anderson localization for quasi-periodic lattice schrodinger operators on zd, d arbitrary
    Bourgain, Jean
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2007, 17 (03) : 682 - 706
  • [25] Localization for the Random Displacement Model at Weak Disorder
    Fatma Ghribi
    Frédéric Klopp
    Annales Henri Poincaré, 2010, 11 : 127 - 149
  • [26] LOCALIZATION FOR AN ANDERSON-BERNOULLI MODEL WITH GENERIC INTERACTION POTENTIAL
    Boumaza, Hakim
    TOHOKU MATHEMATICAL JOURNAL, 2013, 65 (01) : 57 - 74
  • [27] LIFSHITZ TAILS AND LOCALIZATION IN THE THREE-DIMENSIONAL ANDERSON MODEL
    Elgart, Alexander
    DUKE MATHEMATICAL JOURNAL, 2009, 146 (02) : 331 - 360
  • [28] Observing localization and delocalization of the flat-band states in an acoustic cubic lattice
    Shen, Ya-Xi
    Peng, Yu-Gui
    Cao, Pei-Chao
    Li, Jensen
    Zhu, Xue-Feng
    PHYSICAL REVIEW B, 2022, 105 (10)
  • [29] Anderson localization in a two-dimensional random gap model
    Hill, A.
    Ziegler, K.
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2014, 56 : 172 - 176
  • [30] The invariant measures at weak disorder for the two-line Anderson model
    Dorlas, TC
    Pulé, JV
    REVIEWS IN MATHEMATICAL PHYSICS, 2004, 16 (05) : 639 - 673