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
The European Physical Journal B | 2011年 / 82卷
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] Influence of weak nonlinearity on the 1D Anderson model with long-range correlated disorder
    B. P. Nguyen
    Kihong Kim
    The European Physical Journal B, 2011, 84 : 79 - 82
  • [2] 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
  • [3] 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
  • [4] 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)
  • [5] A non-Monte Carlo approach to analyzing 1D Anderson localization in dispersive metamaterials
    Kissel, Glen J.
    METAMATERIALS, METADEVICES, AND METASYSTEMS 2015, 2015, 9544
  • [6] Effect of long-range correlated disorder on the transverse localization of light in 1D array of optical waveguides
    Nezhad, M. Khazaei
    Mahdavi, S. M.
    Bahrampour, A. R.
    Golshani, M.
    OPTICS COMMUNICATIONS, 2013, 307 : 39 - 45
  • [7] Anderson localization of circularly polarized waves in a gyrotropic superlattice with correlated disorder
    Makarov, N. M.
    Pritula, G. M.
    Vekslerchik, V. E.
    Usatenko, O. V.
    Yampol'skii, V. A.
    LOW TEMPERATURE PHYSICS, 2024, 50 (12) : 1057 - 1066
  • [8] Diffusive, super-diffusive and ballistic transport in the long-range correlated 1D Anderson model
    Santos, B.
    Viana, L. P.
    Lyra, M. L.
    de Moura, F. A. B. F.
    SOLID STATE COMMUNICATIONS, 2006, 138 (12) : 585 - 589
  • [9] Anderson localization in a random correlated energy landscape
    Russ, S
    Kantelhardt, JW
    Bunde, A
    Havlin, S
    Webman, I
    PHYSICA A, 1999, 266 (1-4): : 492 - 496
  • [10] Disorder and Interactions on a 1D Chain
    Carter, Jonathan M.
    MacKinnon, Angus
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72