• 文献标题:   PT-symmetric graphene under a magnetic field
  • 文献类型:   Article
  • 作  者:   BAGARELLO F, HATANO N
  • 作者关键词:   ptsymmetric hamiltonian, biorthogonal eigenstate, deformed graphene
  • 出版物名称:   PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL ENGINEERING SCIENCES
  • ISSN:   1364-5021 EI 1471-2946
  • 通讯作者地址:   Univ Palermo
  • 被引频次:   4
  • DOI:   10.1098/rspa.2016.0365
  • 出版年:   2016

▎ 摘  要

We propose a PT-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 PT-symmetric and PT-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 PT-symmetric and PT-broken regions.