Extended states and dynamical localization in semiconductor superlattices

Abstract

We study the quantum dynamics of electronic wave packets in quantum-well based semiconductor superlattices subject to an applied electric field. Using a high-accuracy numerical method, we analyze the dynamical behavior of electronic wave packets in periodic, random and random dimer superlattices. The spatial extent of electronic states is characterized by means of the time-dependent inverse participation ratio. We show that the delocalized states recently found in random dimer superlattices become spatially localized under the action of the applied field (dynamical localization) but wavepackets are much less localized than in purely random superlattices at moderate field. We conclude that the resonant tunneling effects causing delocalization in dimer superlattices play an important role even in the presence of moderate electric field.