%0 Journal Article
%T A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors
%A Mario G. Silveirinha
%A Nader Engheta
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevB.86.245302
%X Based on an analogy with electromagnetic metamaterials, we develop an effective medium description for the propagation of electron matter waves in bulk semiconductors with a zincblende structure. It is formally demonstrated that even though departing from a different starting point, our theory gives results for the energy stationary states consistent with Bastard's envelope function approximation in the long-wavelength limit. Using the proposed approach, we discuss the time evolution of a wave packet in a bulk semiconductor with a zero-gap and linear energy-momentum dispersion.
%U http://arxiv.org/abs/1205.3326v2