Electrons in graphene, in addition to their spin, have two pseudospin degrees of freedom: sublattice and valley pseudospin. Valleytronics uses the valley degree of freedom as a carrier of information similar to the way spintronics uses electron spin. We show how a double barrier structure consisting of electric and vector potentials can be used to filter massive Dirac electrons based on their valley index. We study the resonant transmission through a finite number of barriers and we obtain the energy spectrum of a superlattice consisting of electric and vector potentials. When a mass term is included the energy bands and energy gaps at the K and K' points are different and they can be tuned by changing the potential.
@article{arxiv.1304.0654,
title = {Resonant valley filtering of massive Dirac electrons},
author = {D. Moldovan and M. Ramezani Masir and L. Covaci and F. M. Peeters},
journal= {arXiv preprint arXiv:1304.0654},
year = {2013}
}