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A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors

By Mario G. Silveirinha and Nader Engheta

Abstract

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.Comment: 43 pages, 4 figure

Topics: Condensed Matter - Mesoscale and Nanoscale Physics
Publisher: 'American Physical Society (APS)'
Year: 2012
DOI identifier: 10.1103/PhysRevB.86.245302
OAI identifier: oai:arXiv.org:1205.3326

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