Computational Approaches to Silicon-Based Nanostructures
Trellakis, Alexandros
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https://hdl.handle.net/2142/80683
Description
Title
Computational Approaches to Silicon-Based Nanostructures
Author(s)
Trellakis, Alexandros
Issue Date
2000
Doctoral Committee Chair(s)
Ravaioli, Umberto
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Condensed Matter
Language
eng
Abstract
Finally, a full-band approach for the solution of Schrodinger's equation based on Fast Fourier Transforms is described. Using this simulation method, it becomes possible to solve Schrodinger's equation in the one band approximation for arbitrary band structures, putting a more complete description of high energy states and realistic temperatures within reach. Two example applications concerning non-parabolic effects in silicon quantum structures are presented, a MOS quantum capacitor and a MOS quantum cavity. Future directions for further extending this numerical method are discussed.
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