Localization and delocalization in one-dimensional systems with translation-invariant hopping

被引：1
|
作者：
Sepehrinia, Reza [1 ,2 ]
机构：
[1] Univ Tehran, Dept Phys, Tehran 14395547, Iran
[2] IPM, Inst Res Fundamental Sci, Sch Phys, Tehran 193955531, Iran
来源：
PHYSICAL REVIEW B | 2021年 / 103卷 / 02期
关键词：
QUANTUM DIFFUSION; ABSENCE; MODEL;
D O I：
10.1103/PhysRevB.103.L020201
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present a theory of Anderson localization on a one-dimensional lattice with translation-invariant hopping. We find by analytical calculation the localization length for arbitrary finite-range hopping in the single propagating channel regime. Then by examining the convergence of the localization length, in the limit of infinite hopping range, we revisit the problem of localization criteria in this model and investigate the conditions under which it can be violated. Our results reveal possibilities of having delocalized states by tuning the long-range hopping.
引用
收藏
页数：4
相关论文
共 50 条
  • [31] LOCALIZATION IN ONE-DIMENSIONAL DISORDERED SYSTEMS
    ECONOMOU, EN
    COHEN, MH
    [J]. PHYSICAL REVIEW B-SOLID STATE, 1971, 4 (02): : 396 - &
  • [32] ELECTRON LOCALIZATION AND DELOCALIZATION IN THE ONE-DIMENSIONAL TOMONAGA MODEL WITH BACKSCATTERING AND IMPURITIES
    CHUI, ST
    BRAY, JW
    [J]. PHYSICAL REVIEW B, 1979, 19 (08): : 4020 - 4022
  • [33] HOPPING TRANSPORT IN ONE-DIMENSIONAL PERIODIC LATTICE SYSTEMS
    SCHNEIDER, WR
    [J]. HELVETICA PHYSICA ACTA, 1983, 56 (04): : 987 - 988
  • [34] SOME COMMENTS ON HOPPING IN RANDOM ONE-DIMENSIONAL SYSTEMS
    BERNASCONI, J
    BEYELER, HU
    [J]. PHYSICAL REVIEW B, 1980, 21 (08): : 3745 - 3747
  • [35] Delocalization and conductance quantization in one-dimensional systems attached to leads
    Zeng, ZY
    Claro, F
    [J]. PHYSICAL REVIEW B, 2002, 65 (19): : 1 - 3
  • [36] Dynamical delocalization in one-dimensional disordered systems with oscillatory perturbation
    Yamada, H
    Ikeda, KS
    [J]. PHYSICAL REVIEW E, 1999, 59 (05): : 5214 - 5230
  • [37] Delocalization in one-dimensional disordered systems with a short range correlation
    Datta, P. K.
    [J]. PHYSICA B-CONDENSED MATTER, 2008, 403 (19-20) : 3819 - 3821
  • [38] DELOCALIZATION AND SUPERALTERNATION EFFECTS IN NONLINEAR SUSCEPTIBILITIES OF ONE-DIMENSIONAL SYSTEMS
    AGRAWAL, GP
    FLYTZANIS, C
    [J]. CHEMICAL PHYSICS LETTERS, 1976, 44 (02) : 366 - 370
  • [39] Localization-delocalization transition of photons in one-dimensional random n-mer dielectric systems
    Zhao, Z.
    Gao, F.
    Peng, R. W.
    Cao, L. S.
    Li, D.
    Wang, Z.
    Hao, X. P.
    Wang, Mu
    Ferrari, C.
    [J]. PHYSICAL REVIEW B, 2007, 75 (16):
  • [40] Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
    Shima, H
    Nomura, T
    Nakayama, T
    [J]. PHYSICAL REVIEW B, 2004, 70 (07) : 075116 - 1
12345