Spin transport of weakly disordered Heisenberg chain at infinite temperature

ORAL

Abstract

We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational extrapolation of recurrents. Good convergence for the infinite chain limit is shown. We find that the local spin correlations decay at long times as C ∼ t-β, while the conductivity exhibits a low frequency power law σ ∼ ωα. The exponents depict sub-diffusive behavior β<1/2, α>0 at all finite disorders, and convergence to the scaling result, α+2β=1, at large disorders.

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Presenters

  • Assa Auerbach

    Physics Department, Technion - Israel Institute of Technology

Authors

  • Ilia Khait

    Physics Department, Technion - Israel Institute of Technology

  • Snir Gazit

    University of California, Berkeley, Department of Physics, University of California, Univ of California - Berkeley, Physics, University of California, Berkeley, Physics, Univ of California - Berkeley

  • Norman Yao

    Physics, Univ of California - Berkeley, Department of Physics, University of California, University of California, Berkeley, Univ of California - Berkeley, University of California Berkeley, Physics, University of California, Berkeley, Department of Physics, Univ of California - Berkeley

  • Assa Auerbach

    Physics Department, Technion - Israel Institute of Technology