Reduced-basis approach to many-body localization

P. Prelovšek, O. S. Barišić, and M. Mierzejewski
Phys. Rev. B 97, 035104 – Published 4 January 2018

Abstract

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 nonergodic 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 nonlocal quantities, reveals limitations of the reduced-basis approach.

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  • Received 29 September 2017
  • Revised 23 November 2017

DOI:https://doi.org/10.1103/PhysRevB.97.035104

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

P. Prelovšek1,2, O. S. Barišić3, and M. Mierzejewski4

  • 1Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia
  • 2Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
  • 3Institute of Physics, HR-10000 Zagreb, Croatia
  • 4Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370 Wrocław, Poland

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Issue

Vol. 97, Iss. 3 — 15 January 2018

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