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Journal Article

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

MPS-Authors
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Luitz,  David J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons217286

Khaymovich,  Ivan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

http://dx.doi.org/10.21468/SciPostPhysCore.2.2.006
(Publisher version)

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1909.06380.pdf
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Citation

Luitz, D. J., Khaymovich, I. M., & Bar Lev, Y. (2020). Multifractality and its role in anomalous transport in the disordered XXZ spin-chain. SciPost Physics Core, 2(2): 006. doi:10.21468/SciPostPhysCore.2.2.006.


Cite as: https://hdl.handle.net/21.11116/0000-0009-A952-C
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.