Boundary element modeling of quantum structures

Fred Gelbard; Kevin J. Malloy

doi:10.1117/12.432564

9 July 2001 Boundary element modeling of quantum structures

Fred Gelbard, Kevin J. Malloy

Proceedings Volume 4283, Physics and Simulation of Optoelectronic Devices IX; (2001) https://doi.org/10.1117/12.432564
Event: Symposium on Integrated Optics, 2001, San Jose, CA, United States

Abstract

Remarkably few applications of boundary element techniques to the solution of Schroedinger's equation have been reported. However, use of boundary elements can reduce the dimensionality by one, and the increased computational efficiencies enable one to compute eigenstates and eigenvalues of 3D quantum dots on desktop PCs. In this work, we introduce the boundary element technique and describe the single band quantum mechanical properties of various quantum dot and quantum wire configurations. The observed behavior of coupled quantum structures results in the equivalent of molecular bonding and antibonding states. Extensions of the method are developed with a numerical perturbation technique for spatially varying potentials, such as the influence of an electric field on quantum wires. Excellent agreement with an exact solution for a quantum wire is reported.

Citation Download Citation

Fred Gelbard and Kevin J. Malloy "Boundary element modeling of quantum structures", Proc. SPIE 4283, Physics and Simulation of Optoelectronic Devices IX, (9 July 2001); https://doi.org/10.1117/12.432564

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