Many-Body Localization in the Presence of a Single-Particle Mobility Edge

Modak, Ranjan and Mukerjee, Subroto (2015) Many-Body Localization in the Presence of a Single-Particle Mobility Edge. In: PHYSICAL REVIEW LETTERS, 115 (23).

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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.

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW LETTERS
Publisher:	AMER PHYSICAL SOC
Additional Information:	Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	07 Jan 2016 07:20
Last Modified:	07 Jan 2016 07:20
URI:	http://eprints.iisc.ac.in/id/eprint/53039

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