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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

Submission summary

As Contributors: Yevgeny Bar Lev · Ivan Khaymovich · David J. Luitz
Arxiv Link: https://arxiv.org/abs/1909.06380v4 (pdf)
Date accepted: 2020-04-17
Date submitted: 2020-04-02 02:00
Submitted by: Bar Lev, Yevgeny
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approaches: Theoretical, Computational

Abstract

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.

Ontology / Topics

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Many-body localization (MBL) XXZ model

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



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