PT-symmetric graphene under a magnetic field

Fabio Bagarello, Naomichi Hatano

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We propose a [Formula: see text]-symmetrically deformed version of the graphene tight-binding model under a magnetic field. We analyse the structure of the spectra and the eigenvectors of the Hamiltonians around the K and K' points, both in the [Formula: see text]-symmetric and [Formula: see text]-broken regions. In particular, we show that the presence of the deformation parameter V produces several interesting consequences, including the asymmetry of the zero-energy states of the Hamiltonians and the breakdown of the completeness of the eigenvector sets. We also discuss the biorthogonality of the eigenvectors, which turns out to be different in the [Formula: see text]-symmetric and [Formula: see text]-broken regions.
Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalPROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A
Volume472
Publication statusPublished - 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy

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