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

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

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

The disordered XXZ model is a prototype model of the many-body localization (MBL) transition. Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due to 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.

Original languageEnglish
Article number006
JournalSciPost Physics Core
Volume2
Issue number2
DOIs
StatePublished - 1 Apr 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Condensed Matter Physics

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