Anderson localization in 1D systems with correlated disorder

被引:0
|
作者
A. Croy
P. Cain
M. Schreiber
机构
[1] Max-Planck-Institute for the Physics of Complex Systems,
[2] Technische Universität Chemnitz,undefined
[3] Institut für Physik,undefined
来源
关键词
Anderson Model; Localization Length; Band Center; Anderson Localization; Disorder Strength;
D O I
暂无
中图分类号
学科分类号
摘要
Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the localization length and the density of states and compare our numerical results with analytical predictions. Specifically, we find two distinct characteristic behaviors in the vicinity of the band center and at the unperturbed band edge, respectively. Furthermore we address the effect of the intrinsic short-range correlations.
引用
收藏
页码:107 / 112
页数:5
相关论文
共 50 条
  • [1] Anderson localization in 1D systems with correlated disorder
    Croy, A.
    Cain, P.
    Schreiber, M.
    EUROPEAN PHYSICAL JOURNAL B, 2011, 82 (02): : 107 - 112
  • [2] Anderson transition in 1D systems with spatial disorder
    Benhenni, Rabah
    Senoud, Khaled
    Bouamrane, Rachid
    Zekri, Nouredine
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (05) : 1002 - 1008
  • [3] Scaling properties of 1D Anderson model with correlated diagonal disorder
    Deych, LI
    Erementchouk, MV
    Lisyansky, AA
    PHYSICA B-CONDENSED MATTER, 2003, 338 (1-4) : 79 - 81
  • [4] Tailoring Anderson localization by disorder correlations in 1D speckle potentials
    Piraud, Marie
    Sanchez-Palencia, Laurent
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 217 (01): : 91 - 102
  • [5] Tailoring Anderson localization by disorder correlations in 1D speckle potentials
    Marie Piraud
    Laurent Sanchez-Palencia
    The European Physical Journal Special Topics, 2013, 217 : 91 - 102
  • [6] Delocalization in the 1D Anderson model with long-range correlated disorder
    de Moura, FABF
    Lyra, ML
    PHYSICAL REVIEW LETTERS, 1998, 81 (17) : 3735 - 3738
  • [7] The band-centre anomaly in the 1D Anderson model with correlated disorder
    Tessieri, L.
    Herrera-Gonzalez, I. F.
    Izrailev, F. M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (35)
  • [8] 1D Anderson model revisited: Band center anomaly for correlated disorder
    Herrera-Gonzalez, I. F.
    Izrailev, F. M.
    Makarov, N. M.
    Tessieri, L.
    LOW TEMPERATURE PHYSICS, 2017, 43 (02) : 284 - 289
  • [9] Anderson localization and correlated disorder
    Izrailev, F. M.
    MESOSCOPIC PHYSICS IN COMPLEX MEDIA, 2010,
  • [10] ANDERSON LOCALIZATION WITH CORRELATED DISORDER
    STEPHENS, MD
    SKINNER, JL
    CHEMICAL PHYSICS, 1993, 177 (03) : 727 - 731