An effective quantum potential for particle-particle interactions in three-dimensional semiconductor device simulations

Clemens Heitzinger, Christian Ringhofer

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The classical Coulomb potential and force can be calculated efficiently using fast multi-pole methods. Effective quantum potentials, however, describe the physics of electron transport in semiconductors more precisely. Such an effective quantum potential was derived previously for the interaction of an electron with a barrier for use in particle-based Monte Carlo semiconductor device simulators. The method is based on a perturbation theory around thermodynamic equilibrium and leads to an effective potential scheme in which the size of the electron depends upon its energy and which is parameter-free. Here we extend the method to electron-electron interactions and show how the effective quantum potential can be evaluated efficiently in the context of many-body problems. Finally several examples illustrate how the momentum of the electrons changes the classical potential.

Original languageEnglish (US)
Pages (from-to)401-408
Number of pages8
JournalJournal of Computational Electronics
Volume6
Issue number4
DOIs
StatePublished - Dec 1 2007

ASJC Scopus subject areas

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

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