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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
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint 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 |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
- Condensed Matter Physics - Computational
- Quantum Physics
|
| 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.
