Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-1124103-230904

Document Typethesis
Author NameMoussa, Jonathan Edward
Email Address jmoussa at alum.wpi.edu
TitleThe Schroedinger-Poisson Selfconsistency in Layered Quantum Semiconductor Structures
  • L. Ramdas Ram-Mohan, Advisor
  • Tom H. Keil, Department Head
  • Keywords
  • heterostructure
  • semiconductor
  • quantum engineering
  • self consistency
  • Date of Presentation/Defense2003-12-25
    Availability unrestricted


    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.

  • jmoussa.pdf

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