Faculty Advisor

L. Ramdas Ram-Mohan

Faculty Advisor

Tom H. Keil

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."

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Physics

Project Type

Thesis

Date Accepted

2003-11-24

Accessibility

Unrestricted

Subjects

heterostructure, semiconductor, quantum engineering, self consistency, Semiconductors, Poisson's equation, Quantum theory

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