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H. Kosina, C. Troger, "SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands", VLSI Design, vol. 8, Article ID 039231, 5 pages, 1998. https://doi.org/10.1155/1998/39231
SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands
Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism has been developed which allows to incorporate a nonparabolic bulk dispersion relation into the Schrödinger equation. As a consequence of nonparabolicity the wave functions depend on the in-plane momentum. Each subband is parametrized by its energy, effective mass and a subband nonparabolicity coefficient. The formalism is implemented in a one-dimensional Schrödinger-Poisson solver which is applicable both to silicon inversion layers and heterostructures.
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