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Many body localization in the presence of a single particle mobility edge

Authors
  • Modak, Ranjan
  • Mukerjee, Subroto
Type
Published Article
Publication Date
Dec 03, 2015
Submission Date
Mar 26, 2015
Identifiers
DOI: 10.1103/PhysRevLett.115.230401
Source
arXiv
License
Yellow
External links

Abstract

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon the introduction of interactions. It has also been shown that mobility edges can appear in the single particle spectrum for certain types of quasiperiodic potentials. Here, we investigate the effect of interactions in two models with such mobility edges. Employing the technique of exact diagonalization for finite-sized systems, we calculate the level spacing distribution, time evolution of entanglement entropy, optical conductivity, and return probability to detect MBL. We find that MBL does indeed occur in one of the two models we study, but the entanglement appears to grow faster than logarithmically with time unlike in other MBL systems.

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