Scattering matrix approach to direct solution of the Schrödinger equation

R. Akis, D. K. Ferry

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We discuss a numerically stable method, the Usuki method, which is closely related to both the scattering matrix approach and recursive Green's functions. This approach provides a viable approach to directly solving the Schrödinger equation in simulations of semiconductor devices. It has a major advantage over the Green's function in that the electron density can be obtained far more efficiently for use in the self-consistent loop. Various applications of this approach have been studied, although here we focus upon the application of the method to study MOSFETS.

Original languageEnglish (US)
Pages (from-to)232-236
Number of pages5
JournalJournal of Computational Electronics
Volume8
Issue number3-4
StatePublished - Dec 2009

Fingerprint

Scattering Matrix
S matrix theory
Green's function
Green's functions
Scattering
Recursive functions
recursive functions
Semiconductor devices
semiconductor devices
Carrier concentration
Recursive Functions
Semiconductor Devices
Electron
simulation
Simulation

Keywords

  • Devices
  • Quantum simulation
  • Semiconductor

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Modeling and Simulation

Cite this

Scattering matrix approach to direct solution of the Schrödinger equation. / Akis, R.; Ferry, D. K.

In: Journal of Computational Electronics, Vol. 8, No. 3-4, 12.2009, p. 232-236.

Research output: Contribution to journalArticle

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