Estimations of the Fermi Velocity and Effective Mass in Epitaxial Graphene and Carbyne

Abstract

It is shown that the Fermi velocity of electrons is a natural characteristic of gapless graphene and cumulene modification of carbyne weakly coupled with the substrate. At the same time, in the presence of gap (graphene with a gap and polyyne modification of carbyne), the corresponding characteristic is the effective electron mass. The corresponding analytical estimations have been performed.