Pseudospin-filter tunneling of massless Dirac fermions

The tunneling of the massless Dirac fermions through a vector potential barrier are theoretically investigated, wherethe vector potential can be introduced by very high and very thin (d-function) magnetic potential barriers. We showthat, distinct from the previously studied electric barrier tunneling, the vector potential barriers are more transparent forpseudospin-1/2 Dirac fermions but more obstructive for pseudospin-1 Dirac fermions. By tuning the height of the vectorpotential barrier, the pseudospin-1/2 Dirac fermions remain transmitted, whereas the transmission of the pseudospin-1Dirac fermions is forbidden, leading to a pseudospin filtering effect for massless Dirac fermions.