2016/09/02 by Fabio Bagarello, Naomichi Hatano · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.mes-hall #math-ph #math.MP
paper · pdf · doi:10.1098/rspa.2016.0365
in press in Proceedings of the Royal Society A
arxiv created 2016/09/02 · arxiv updated 2016/11/23
We propose a PT-symmetrically deformed version of the graphene tight-binding model under a magnetic field. We analyze 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.