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Touching points in the energy band structure of bilayer graphene superlattices.

Authors
  • Pham, C Huy
  • Nguyen, V Lien
Type
Published Article
Journal
Journal of Physics Condensed Matter
Publisher
IOP Publishing
Publication Date
Oct 22, 2014
Volume
26
Issue
42
Pages
425502–425502
Identifiers
DOI: 10.1088/0953-8984/26/42/425502
PMID: 25274067
Source
Medline
License
Unknown

Abstract

The energy band structure of the bilayer graphene superlattices with zero-averaged periodic δ-function potentials are studied within the four-band continuum model. Using the transfer matrix method, the study is mainly focused on examining the touching points between adjacent minibands. For the zero-energy touching points the dispersion relation derived shows a Dirac-like double-cone shape with the group velocity which is periodic in the potential strength P with the period of π and becomes anisotropic at relatively large P. From the finite-energy touching points we have identified those located at zero wave-number. It was shown that for these finite-energy touching points the dispersion is direction-dependent in the sense that it is linear or parabolic in the direction parallel or perpendicular to the superlattice direction, respectively. We have also calculated the density of states and the conductivity which demonstrates a manifestation of the touching points examined.

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