SPIN – A Schr?dinger-Poisson Solver IncludingNonparabolic Bands

摘要

Nonparabolicity effects in two-dimensional electron systems are quantitativelyanalyzed. A formalism has been developed which allows to incorporate a nonparabolicbulk dispersion relation into the Schr?dinger equation. As a consequence ofnonparabolicity the wave functions depend on the in-plane momentum. Each subbandis parametrized by its energy, effective mass and a subband nonparabolicity coefficient.The formalism is implemented in a one-dimensional Schr?dinger-Poisson solver whichis applicable both to silicon inversion layers and heterostructures.