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Title: Dynamical localization of electrons in an aperiodic superlattice

Abstract

We derive the analytical form of the time-dependent wave function for a single-band tight-binding model of independent conduction electrons within an aperiodic semiconductor superlattice, created by modifications in the composition of a single layer of an otherwise periodic superlattice. While the wave function for long times is known to feature both diffusive and localized behavior, the latter originating in the superlattice aperiodicity, we provide quantitative results for these features for all values of the time. {copyright} {ital 1998} {ital The American Physical Society}

Authors:
 [1];  [2]
  1. Ames Laboratory and the Department of Physics and Astronomy, Iowa State University, Ames, Iowa50011 (United States)
  2. Department of Physics, Naval Postgraduate School, Monterey, California93943 (United States)
Publication Date:
OSTI Identifier:
627811
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 57; Journal Issue: 15; Other Information: PBD: Apr 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; SUPERLATTICES; WAVE FUNCTIONS; GALLIUM ARSENIDES; ELECTRONIC STRUCTURE; SCHROEDINGER EQUATION; EFFECTIVE MASS; TIME DEPENDENCE

Citation Formats

Luban, M, and Luscombe, J H. Dynamical localization of electrons in an aperiodic superlattice. United States: N. p., 1998. Web. doi:10.1103/PhysRevB.57.9043.
Luban, M, & Luscombe, J H. Dynamical localization of electrons in an aperiodic superlattice. United States. https://doi.org/10.1103/PhysRevB.57.9043
Luban, M, and Luscombe, J H. 1998. "Dynamical localization of electrons in an aperiodic superlattice". United States. https://doi.org/10.1103/PhysRevB.57.9043.
@article{osti_627811,
title = {Dynamical localization of electrons in an aperiodic superlattice},
author = {Luban, M and Luscombe, J H},
abstractNote = {We derive the analytical form of the time-dependent wave function for a single-band tight-binding model of independent conduction electrons within an aperiodic semiconductor superlattice, created by modifications in the composition of a single layer of an otherwise periodic superlattice. While the wave function for long times is known to feature both diffusive and localized behavior, the latter originating in the superlattice aperiodicity, we provide quantitative results for these features for all values of the time. {copyright} {ital 1998} {ital The American Physical Society}},
doi = {10.1103/PhysRevB.57.9043},
url = {https://www.osti.gov/biblio/627811}, journal = {Physical Review, B: Condensed Matter},
number = 15,
volume = 57,
place = {United States},
year = {1998},
month = {4}
}