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
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.
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