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Multifractality and its role in anomalous transport in the disordered XXZ spin-chain

by David J. Luitz, Ivan M. Khaymovich, Yevgeny Bar Lev

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Submission summary

Authors (as registered SciPost users): Yevgeny Bar Lev · Ivan Khaymovich · David J. Luitz
Submission information
Preprint Link:  (pdf)
Date accepted: 2020-04-17
Date submitted: 2020-04-02 02:00
Submitted by: Bar Lev, Yevgeny
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
  • Quantum Physics
Approaches: Theoretical, Computational


The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe finite size effects. Moreover it is not clear if similarly to the case of single-particle physics, multifractal properties of the many-body eigenstates are related to anomalous transport, which is observed in this model. In this work, using a state-of-the-art, massively parallel, numerically exact method, we study systems of up to 24 spins and show that a large fraction of the delocalized phase flows towards ergodicity in the thermodynamic limit, while a region immediately preceding the MBL transition appears to be multifractal in this limit. We discuss the implication of our finding on the mechanism of subdiffusive transport.

Published as SciPost Phys. Core 2, 006 (2020)

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