6533b85ffe1ef96bd12c2580
RESEARCH PRODUCT
$PT$-symmetric graphene under a magnetic field
Fabio BagarelloNaomichi Hatanosubject
deformed grapheneGeneral Mathematicsmedia_common.quotation_subjectMathematicsofComputing_GENERALStructure (category theory)General Physics and AstronomyFOS: Physical sciencesDeformation (meteorology)01 natural sciencesAsymmetrySpectral linelaw.inventionTheoretical physicslawCompleteness (order theory)0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)biorthogonal eigenstate010306 general physicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsResearch ArticlesMathematical Physicsmedia_commonPhysicsCondensed Matter - Mesoscale and Nanoscale Physics010308 nuclear & particles physicsGrapheneGeneral Engineering-symmetric HamiltonianMathematical Physics (math-ph)Magnetic fielddescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-09-01 |