Efficient numerical schemes for electronic states in coupled quantum dots

Tsung Min Hwang, Wei Hua Wang, Weichung Wang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Electronic states in coupled quantum dots are studied numerically and qualitatively in this article. A second-order finite volume scheme based on uniform meshes is first developed to solve the three-dimensional Schrödinger equation. The scheme is used to solve the eigenvalue problem with more than 12 million unknowns. Using these efficient numerical tools, we study quantum structure induced interactions, with emphases on the effects of dot size and space layer thickness. The numerical experiments have predicted the phenomena that envelope functions become delocalized over two QDs and the energy levels show anticrossing behavior.

Original languageEnglish
Pages (from-to)3695-3709
Number of pages15
JournalJournal of Nanoscience and Nanotechnology
Volume8
Issue number7
DOIs
Publication statusPublished - 2008 Jul 1

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Keywords

  • Anticrosslng
  • Coupled quantum dots
  • Delocalization
  • Electronic states
  • Finite volume method
  • Numerical simulation
  • Schrödinger equation

ASJC Scopus subject areas

  • Bioengineering
  • Chemistry(all)
  • Biomedical Engineering
  • Materials Science(all)
  • Condensed Matter Physics

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