Hatano-Nelson model with a periodic potential

F. Hébert (), M. Schram, R. T. Scalettar, W. B. Chen and Z. Bai

The European Physical Journal B: Condensed Matter and Complex Systems, 2011, vol. 79, issue 4, 465-471

Abstract: We study a generalisation of the Hatano-Nelson Hamiltonian in which a periodic modulation of the site energies is present in addition to the usual random distribution. The system can then become localized by disorder or develop a band gap, and the eigenspectrum shows a wide variety of topologies. We determine the phase diagram, and perform a finite size scaling analysis of the localization transition. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Date: 2011
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DOI: 10.1140/epjb/e2011-10875-9

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