NASA NTRS · 19850056417
Position-dependent effective masses in semiconductor theory. II
Abstract
A compound semiconductor possessing a slowly varying position-dependent chemical composition is considered. An effective-mass equation governing the dynamics of electron (or hole) motion using the Kohn-Luttinger representation and canonical transformations is derived. It is shown that, as long as the variation in chemical composition may be treated as a perturbation, the effective masses become constant, position-independent quantities. The effective-mass equation derived here is identical to the effective-mass equation derived previously by von Roos (1983), using a Wannier representation.
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Von Roos, O., Mavromatis, H.. 1985-02-15. Position-dependent effective masses in semiconductor theory. II. https://ntrs.nasa.gov/citations/19850056417
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