Hatano-Nelson model with a periodic potential |
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| Authors: | F Hébert M Schram R T Scalettar W B Chen Z Bai |
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| Institution: | (1) Department of Physics, Philipps University Marburg, Renthof 5, 35032 Marburg, Germany;(2) Department of Physics and Material Sciences Center, Philipps University Marburg, Renthof 5, 35032 Marburg, Germany |
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| 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. |
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