Energy gap of tight-binding electrons on generalized honeycomb lattice

Abstract

So as to clearly understand the energy band gap of graphene, we study the energy band of tight-binding electrons on a honeycomb lattice with on-site potentials A and B on sublattices A and B, nearest-neighbor transfer integrals ta, tb and t c, and next-nearest-neighbor transfer integrals t2a, t2b, t2c, t2d, t2e and t 2f, where t2a, t2b and t2C are transfer integrals between sublattice A, and t2d, t2e and t2f are transfer integrals between sublattice B. © 2008 IOP Publishing Ltd.