Universal dynamics of density correlations at the transition to the many-body localized state

M. Mierzejewski, J. Herbrych, and P. Prelovšek
Phys. Rev. B 94, 224207 – Published 28 December 2016

Abstract

Within one-dimensional disordered models of interacting fermions, we perform a numerical study of several dynamical density correlations, which can serve as hallmarks of the transition to the many-body localized state. The results confirm that density-wave correlations exhibit quite an abrupt change with increasing disorder, with a nonvanishing long-time value characteristic for the nonergodic phase. In addition, our results reveal a logarithmic variation of correlations in time in a wide time window, which we can bring in connection with the anomalous behavior of the dynamical conductivity near the transition. Our results support the view that the transition to many-body localization can be characterized by universal dynamical exponents.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 8 July 2016
  • Revised 7 November 2016

DOI:https://doi.org/10.1103/PhysRevB.94.224207

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Mierzejewski1, J. Herbrych2, and P. Prelovšek3,4

  • 1Institute of Physics, University of Silesia, 40-007 Katowice, Poland
  • 2Crete Center for Quantum Complexity and Nanotechnology, Department of Physics, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece
  • 3Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia
  • 4Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 94, Iss. 22 — 1 December 2016

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×