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arXiv · 1603.06588

Spin transport of weakly disordered Heisenberg chain at infinite temperature

Ilia Khait·Snir Gazit·Norman Y. Yao·Assa Auerbach
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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 $C \sim t^{-β}$, while the conductivity exhibits a low frequency power law $σ\sim ω^α$. 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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Ilia Khait, Snir Gazit, Norman Y. Yao, Assa Auerbach. 2016-06-18. Spin transport of weakly disordered Heisenberg chain at infinite temperature. https://doi.org/10.1103/physrevb.93.224205

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