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Simplifying Semiclassical Electron Transport in Highly Inhomogeneous Fields
thesis
posted on 2022-03-07, 00:39 authored by Thomas MinneeThe Boltzmann transport equation describes the dynamics of electrons via
the time evolution of a 6-D scalar field. This semiclassical
description is valid in any device where the external field is
relatively constant over the decoherence length. Near equilibrium, the
electron distribution can be characterized by a local chemical potential
and the lattice temperature, leading to a simplified electron state
described by a 3-D scalar field. When external fields are large, this
approximation breaks down as the electrons are accelerated far away from
a lattice temperature thermal equilibrium. If the external field is
quasi-homogeneous, the local field or average kinetic energy can be used
to characterize the shape of the distribution function, leading to an
electron state described by one or two 3-D scalar fields. However, if
the external field is not quasi-homogeneous, there is currently no
significant simplification of the Boltzmann transport equation that is
widely accepted as being theoretically sound.
History
Copyright Date
2018-11-07Date of Award
2018-11-07Publisher
Te Herenga Waka—Victoria University of WellingtonRights License
Author Retains All RightsDegree Discipline
PhysicsDegree Grantor
Te Herenga Waka—Victoria University of WellingtonDegree Level
DoctoralDegree Name
Doctor of PhilosophyANZSRC Type Of Activity code
2 STRATEGIC BASIC RESEARCHVictoria University of Wellington Item Type
Awarded Doctoral ThesisLanguage
en_NZVictoria University of Wellington School
School of Chemical and Physical SciencesAdvisors
Ruck, BenUsage metrics
Keywords
Non-Equilibrium ElectronsHot ElectronsBoltzmann Transport EquationSemiclassical Electron TransportNon-Equilibrium Carrier TransportEnergy TransportHydrodynamic Electron TransportMacroscopic Electron TransportDegree Discipline: PhysicsDegree Level: DoctoralDegree Name: Doctor of PhilosophySchool: School of Chemical and Physical SciencesElectronic and Magnetic Properties of Condensed Matter; Superconductivity
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