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Tight-binding quantum network with cosine modulations: electronic localization and delocalization

  • Souvik Roy
  • Santanu K. MaitiEmail author
Regular Article
  • 11 Downloads

Abstract

Localization phenomena of non-interacting electrons are critically investigated in a quantum network where site energies and/or hopping integrals are correlated in the form of Aubry-André-Harper (AAH) model. In presence of diagonal hopping between neighboring strands of the network an energy zone, consists of extended and localized states, appears whose width can be adjusted by tuning the physical parameters describing the system. It gives an important signature towards the detection of mobility edge which we justify by analyzing the energy band spectra. Finally, we study the interplay between the diagonal and off-diagonal disorders, and explore the robust delocalizing effect. Our analysis may lead to important aspects of electronic localization in coupled AAH chains.

Graphical abstract

Keywords

Mesoscopic and Nanoscale Systems 

Notes

Author contribution statement

S.R. and S.K.M. conceived the project. S.R. performed numerical calculations. S.R. and S.K.M. analyzed the data. S.K.M. supervised the theoretical calculations. S.R. and S.K.M. co-wrote the paper.

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Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Physics and Applied Mathematics Unit, Indian Statistical InstituteKolkataIndia

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