Reduced-basis approach to many-body localization

Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this starting point we follow the approach that uses a reduced basis of...

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Bibliographic Details
Published in:arXiv.org 2018-03
Main Authors: Prelovšek, Peter, Barišić, Osor S, Mierzejewski, Marcin
Format: Article
Language:English
Subjects:
Fermions
Localization
Many body interactions
Stiffness
Online Access:Get full text
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Description
Summary:Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this starting point we follow the approach that uses a reduced basis of many-body states. Together with an extrapolation to the full basis, it proves to be efficient for the evaluation of the stiffnesses of local observables, which remain finite within the non-ergodic regime and represent the hallmark of the many-body localization (MBL). The method enables a larger span of system sizes and, within the MBL regime, allows for a more careful analysis of the size scaling of calculated quantities. On the other hand, the survival stiffness as the representative of non--local quantities, reveals limitations of the reduced-basis approach.
ISSN:2331-8422
DOI:10.48550/arxiv.1709.10351