Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion

被引:77
作者
Bar Lev, Yevgeny [1 ]
Kennes, Dante M. [2 ]
Kloeckner, Christian [3 ]
Reichman, David R. [1 ]
Karrasch, Christoph [3 ]
机构
[1] Columbia Univ, Dept Chem, 3000 Broadway, New York, NY 10027 USA
[2] Columbia Univ, Dept Phys, 3000 Broadway, New York, NY 10027 USA
[3] Free Univ Berlin, Dahlem Ctr Complex Quantum Syst & Fachbereich Phy, D-14195 Berlin, Germany
关键词
MANY-BODY LOCALIZATION; MATRIX RENORMALIZATION-GROUP; METAL-INSULATOR-TRANSITION; DYNAMICS; STATES;
D O I
10.1209/0295-5075/119/37003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in a one-dimensional interacting system subject to a quasiperiodic potential. For this purpose we calculate the growth of the mean-square displacement as well as the melting of domain walls. While the system is nonintegrable for all studied parameters, there is no finite region of parameters for which we observe diffusive transport. In particular, our model shows a rich dynamical behavior crossing over from superdiffusion to subdiffusion. We discuss the implications of our results for the general problem of many-body localization, with a particular emphasis on the rare region Griffiths picture of subdiffusion. Copyright (C) EPLA, 2017
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页数:6
相关论文
共 56 条
  • [1] Rare-region effects and dynamics near the many-body localization transition
    Agarwal, Kartiek
    Altman, Ehud
    Demler, Eugene
    Gopalakrishnan, Sarang
    Huse, David A.
    Knap, Michael
    [J]. ANNALEN DER PHYSIK, 2017, 529 (07)
  • [2] Anomalous Diffusion and Griffiths Effects Near the Many-Body Localization Transition
    Agarwal, Kartiek
    Gopalakrishnan, Sarang
    Knap, Michael
    Mueller, Markus
    Demler, Eugene
    [J]. PHYSICAL REVIEW LETTERS, 2015, 114 (16)
  • [3] EXCITATION DYNAMICS IN RANDOM ONE-DIMENSIONAL SYSTEMS
    ALEXANDER, S
    BERNASCONI, J
    SCHNEIDER, WR
    ORBACH, R
    [J]. REVIEWS OF MODERN PHYSICS, 1981, 53 (02) : 175 - 198
  • [4] Universal Dynamics and Renormalization in Many-Body-Localized Systems
    Altman, Ehud
    Vosk, Ronen
    [J]. ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6, 2015, 6 : 383 - 409
  • [5] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES
    ANDERSON, PW
    [J]. PHYSICAL REVIEW, 1958, 109 (05): : 1492 - 1505
  • [6] [Anonymous], ARXIV161207173
  • [7] [Anonymous], 1980, ANN ISRAEL PHYS SOC
  • [8] Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles
    Atas, Y. Y.
    Bogomolny, E.
    Giraud, O.
    Roux, G.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (08)
  • [9] Slow dynamics in a two-dimensional Anderson-Hubbard model
    Bar Lev, Yevgeny
    Reichman, David R.
    [J]. EPL, 2016, 113 (04)
  • [10] Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice
    Bar Lev, Yevgeny
    Cohen, Guy
    Reichman, David R.
    [J]. PHYSICAL REVIEW LETTERS, 2015, 114 (10)