SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands | Zendy

H. Kosina | Zendy; Christian Troger | Zendy

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SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands

Author(s) -

H. Kosina,

Christian Troger

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1998/39231

Subject(s) - formalism (music) , solver , physics , dispersion relation , schrödinger equation , schrödinger's cat , heterojunction , effective mass (spring–mass system) , poisson distribution , mathematical analysis , quantum mechanics , mathematics , mathematical physics , art , musical , mathematical optimization , visual arts , statistics

Nonparabolicity effects in two-dimensional electron systems are quantitativelyanalyzed. A formalism has been developed which allows to incorporate a nonparabolicbulk dispersion relation into the Schrödinger 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 Schrödinger-Poisson solver whichis applicable both to silicon inversion layers and heterostructures

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