On a random regular graph with intermediate disorder, an initially localized wave packet spreads subdiffusively, with width growing as t^beta where beta = 1 - W/W_AT, for a disorder range where earlier work expected diffusion.
Multifractality and its role in anomalous transport in the disordered XXZ spin-chain
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
citation-role summary
background 1
citation-polarity summary
fields
cond-mat.dis-nn 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Sub-diffusion in the Anderson model on random regular graph
On a random regular graph with intermediate disorder, an initially localized wave packet spreads subdiffusively, with width growing as t^beta where beta = 1 - W/W_AT, for a disorder range where earlier work expected diffusion.