Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                

Transient and persistent particle subdiffusion in a disordered chain coupled to bosons

P. Prelovšek, J. Bonča, and M. Mierzejewski
Phys. Rev. B 98, 125119 – Published 10 September 2018
PDFHTMLExport Citation
Abstract
Authors
Article Text
  • INTRODUCTION
  • MODEL
  • NONINTERACTING BOSONS
  • HARD-CORE BOSONS
  • QUASIPERIODIC POTENTIAL.
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    We consider the propagation of a single particle in a random chain, assisted by the coupling to dispersive bosons. Time evolution treated with rate equations for hopping between localized states reveals a qualitative difference between dynamics due to noninteracting bosons and hard-core bosons. In the first case the transient dynamics is subdiffusive, but multiboson processes allow for long-time normal diffusion, while hard-core effects suppress multiboson processes leading to persistent subdiffusive transport, consistent with numerical results for a full many-body evolution. In contrast, analogous study for a quasiperiodic potential reveals a stable long-time diffusion.

    • Figure
    • Figure
    • Figure
    • Received 3 July 2018

    DOI:https://doi.org/10.1103/PhysRevB.98.125119

    ©2018 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Electron-phonon couplingMagnonsMany-body localization
    Condensed Matter, Materials & Applied Physics

    Authors & Affiliations

    P. Prelovšek1,2, J. Bonča2,1, and M. Mierzejewski3

    • 1J. Stefan Institute, SI-1000 Ljubljana, Slovenia
    • 2Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
    • 3Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, PL-50-370 Wrocław, Poland

    Article Text (Subscription Required)

    Click to Expand

    References (Subscription Required)

    Click to Expand
    Issue

    Vol. 98, Iss. 12 — 15 September 2018

    Reuse & Permissions
    Access Options
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required

    Log In
    Other Options
    ×

    Images

    • Figure 1
      Figure 1

      (a) and (b) Integrated distributions of local rates I(Γl) at different disorders W, for ω0=g=1,tb=0.4 with full (continuous lines) and simplified (dashed lines) rates: (a) NB at T=2 and (b) HCB at T→∞. (c) Time evolution of the SP spread σ2(t) for NB at the same parameters, calculated via rate equations, (d) evolution of the full many-body system using the LHS method. Dot-dashed lines show the diffusion thresholds.

      Reuse & Permissions
    • Figure 2
      Figure 2

      (a) Spread σ2(t), evaluated for HCB with parameters as in Fig. 1. (b) Corresponding averaged SP profile p¯l(t), evaluated for fixed t=50, and for different W=2−6. (c) (Sub)diffusion exponents γ vs disorder W as evaluated from FGR, simplified rates (SFGR), and via full simulation using LHS, respectively. (d) γ from the FGR approach for different ω0=1.5,2.0 and shorter t<100 compared with LHS results for ω0=1.

      Reuse & Permissions
    • Figure 3
      Figure 3

      (a) Distribution I(Γl) and (b) spread σ2(t) for HCB with the same parameters as in Fig. 1 but for quasiperiodic potential.

      Reuse & Permissions
    ×

    Sign up to receive regular email alerts from Physical Review B

    Log In

    Cancel
    ×

    Search

    Article Lookup

    Paste a citation or DOI
    Enter a citation
    ×