Hatano-Nelson model with a periodic potential

Details Hatano-Nelson model with a periodic potential Hatano-Nelson model with a periodic potential

2010-09-10

arxiv.org/abs/1009.1946v1

Eur.Phys.J.B79:465-471,2011

Physics

Condensed Matter

Statistical Mechanics

7 pages, 10 figures

Scientific paper

10.1140/epjb/e2011-10875-9

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.

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