Self-consistent modeling of open quantum devices

Richard Akis, Lucian Shifren, David Ferry

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper, we describe a method of simulating electron transport in semiconductor devices that operate in the quantum regime. Specifically, devices formed in which the electrons are confined to two dimensions (2D) and transport is ballistic. Modeling such structures using a finite difference approach, we describe how the conductance can be calculated using a numerically stabilized variant of the transfer matrix approach derived from the 2D Schrödinger equation. Examining the example of a quantum point contact, we also describe how this method can be efficiently coupled to a Poisson solver to allow self-consistency to be achieved.

Original languageEnglish (US)
Title of host publication2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002
EditorsM. Laudon, B. Romanowicz
Pages185-188
Number of pages4
StatePublished - Dec 1 2002
Event2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 - San Juan, Puerto Rico
Duration: Apr 21 2002Apr 25 2002

Publication series

Name2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002

Other

Other2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002
CountryPuerto Rico
CitySan Juan
Period4/21/024/25/02

Keywords

  • Finite difference
  • Heterostructures
  • Numerical methods
  • Quantum transport

ASJC Scopus subject areas

  • Engineering(all)

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    Akis, R., Shifren, L., & Ferry, D. (2002). Self-consistent modeling of open quantum devices. In M. Laudon, & B. Romanowicz (Eds.), 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 (pp. 185-188). (2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002).