Title page for ETD etd-1124103-230904

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
Maintained by webmaster@wpi.edu

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