Theory of Graphene Chiral Quasiparticle LDOS maps

Abstract

We present a theory of momentum space local density-of-states (LDOS) maps N(q,omega) in graphene. The LDOS map has both intravalley contributions centered near zero momentum and reciprocal lattice vectors and intervalley contributions displaced by the wavevector K'-K which connects graphene's two distinct Dirac points. Using graphene's Dirac equation chiral quasiparticle continuum model, we obtain analytic results which explain the qualitative differences between these two LDOS map features. We comment on the sensitivity of both N(q,omega) features to the mix of atomic length scale and smooth disorder sources present in a particular graphene sample.