Current induced and interaction driven Dirac point drag of massless quasirelativistic fermions
We study the quasiparticle properties of two dimensional massless Dirac Fermions when the many body states possess a finite momentum density in the clean limit. The lack of Galilean invariance endows the many body states at finite momentum density with qualitative differences from those of the system at rest. At finite carrier densities we demonstrate the appearance of a current induced distortion of the pseudospin texture in momentum space that can be viewed as a drag of the Dirac point and the origin of which lies entirely in electron electron interactions. We discuss the potential observation of this effect in graphene.