English

A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors

Mesoscale and Nanoscale Physics 2013-05-30 v2

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.

Keywords

Cite

@article{arxiv.1205.3326,
  title  = {A Metamaterial-Inspired Model for Electron Waves in Bulk Semiconductors},
  author = {Mario G. Silveirinha and Nader Engheta},
  journal= {arXiv preprint arXiv:1205.3326},
  year   = {2013}
}

Comments

43 pages, 4 figures

R2 v1 2026-06-21T21:04:19.223Z