Document Type thesis Author Name Moussa, Jonathan Edward Email Address jmoussa at alum.wpi.edu URN etd-1124103-230904 Title The Schroedinger-Poisson Selfconsistency in Layered Quantum Semiconductor Structures Degree MS Department Physics Advisors L. Ramdas Ram-Mohan, Advisor Tom H. Keil, Department Head Keywords heterostructure semiconductor quantum engineering self consistency Date of Presentation/Defense 2003-12-25 Availability unrestricted Abstract
We develop a selfconsistent solution of the Schroedinger and Poisson equations in semiconductor
heterostructures with arbitrary doping profiles and layer geometries. An algorithm
for this nonlinear problem is presented in a multiband k.P framework for the electronic
band structure using the finite element method. The discretized functional integrals associated
with the Schroedinger and Poisson equations are used in a variational approach. The
finite element formulation allows us to evaluate functional derivatives needed to linearize
Poisson’s equation in a natural manner. Illustrative examples are presented using a number
of heterostructures including single quantum wells, an asymmetric double quantum well,
p-i-n-i superlattices and trilayer superlattices.
Files jmoussa.pdf
Browse by Author | Browse by Department | Search all available ETDs
Questions? Email etd-questions@wpi.edu