title: Touching points in the energy band structure of bilayer graphene superlattices.
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.
authors.affiliation: Theoretical and Computational Physics Department, Institute of Physics, VAST, 10 Dao Tan, Ba Dinh Distr., Hanoi 10000, Vietnam. SISSA/International School for Advanced Study, Via Bonomea 265, I-34136 Trieste, Italy.
authors.forename: C Huy
authors.initials: CH
authors.lastname: Pham
authors.forename: V Lien
authors.initials: VL
authors.lastname: Nguyen