An influence of parallel electric field on the dispersion relation of graphene - a new route to Dirac logics

Ab initio density functional theory (DFT) simulations were used to investigate an influence of electric field, parallel to single and multilayer graphene on its electron dispersion relations close to K point. It was shown that for both single layer and AAAA stacking multilayer graphene under influence of parallel field the dispersion relations transform to nonlinear. The effect, associated with the hexagonal symmetry breaking, opens new route to high speed transistors and logical devices working in Dirac regime. The implementation of such device is presented.