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Numerical simulation of quantum electron transport in nanoscale resonant tunneling structures

Posted on:2005-11-18Degree:Ph.DType:Dissertation
University:Stevens Institute of TechnologyCandidate:Recine, GregFull Text:PDF
GTID:1450390008979591Subject:Physics
Abstract/Summary:
Electron transport in resonant tunneling nanostructures has been studied in detail over the past decade. Almost all of the numerical simulations to date have restricted the problem to one dimensional transport through structures which have been, for the most part, symmetric and single welled (double barrier). These simulations are performed by numerically solving the Wigner function equation, which is a quantum mechanical analogue to the classical Boltzmann transport equation. This non-linear partial differential equation is solved on a phase space lattice. Using this method, a short study of multiple barrier nanostructures (GaAs/AlGaAs) will be presented. This study will determine if this method, which has proved to be valuable for symmetric nanostructures structures, can be applied to arbitrary structures.; Even though much progress has been made using the 1D theory, in real devices electrons are not confined to transport in a single dimension and the Coulombic potential is fully present and felt in three dimensions. Here we present a method for numerical simulation of electronic transport through a cylindrical device that possesses azimuthal symmetry. Parallel computing techniques involved in the simulation will be discussed.
Keywords/Search Tags:Transport, Numerical, Simulation, Structures
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