Analytical solutions for electronic states in three-dimensional semiconductor quantum rings

O. Vänskä, M. Kira, Stephan W Koch, I. Tittonen

Research output: Contribution to journalArticle

Abstract

We study single-particle electronic states of a threedimensional semiconductor quantum ring. Starting from the envelope-function theory, we formulate a fully analytical model for single-particle wave functions and confinement energies of charge carriers. The approximative harmonic-oscillator model is found to be in excellent agreement with numerical results. The model is a powerful tool in practical calculations when there is a need to go beyond single particle properties to more demanding many-body effects.

Original languageEnglish (US)
Pages (from-to)1246-1249
Number of pages4
JournalPhysica Status Solidi (C) Current Topics in Solid State Physics
Volume10
Issue number9
DOIs
StatePublished - Sep 2013
Externally publishedYes

Fingerprint

rings
electronics
harmonic oscillators
charge carriers
envelopes
wave functions
energy

Keywords

  • Quantum rings
  • Semiconductor nanostructures
  • Single-particle states

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Analytical solutions for electronic states in three-dimensional semiconductor quantum rings. / Vänskä, O.; Kira, M.; Koch, Stephan W; Tittonen, I.

In: Physica Status Solidi (C) Current Topics in Solid State Physics, Vol. 10, No. 9, 09.2013, p. 1246-1249.

Research output: Contribution to journalArticle

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