Calculation of transmission probability by solving an eigenvalue problem

Sergiy Bubin, Kálmán Varga

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The electron transmission probability in nanodevices is calculated by solving an eigenvalue problem. The eigenvalues are the transmission probabilities and the number of nonzero eigenvalues is equal to the number of open quantum transmission eigenchannels. The number of open eigenchannels is typically a few dozen at most, thus the computational cost amounts to the calculation of a few outer eigenvalues of a complex Hermitian matrix (the transmission matrix). The method is implemented on a real space grid basis providing an alternative to localized atomic orbital based quantum transport calculations. Numerical examples are presented to illustrate the efficiency of the method.

Original languageEnglish
Article number465306
JournalJournal of Physics Condensed Matter
Volume22
Issue number46
DOIs
Publication statusPublished - Nov 24 2010
Externally publishedYes

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eigenvalues
grids
costs
orbitals
Electrons
matrices
Costs
electrons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Materials Science(all)

Cite this

Calculation of transmission probability by solving an eigenvalue problem. / Bubin, Sergiy; Varga, Kálmán.

In: Journal of Physics Condensed Matter, Vol. 22, No. 46, 465306, 24.11.2010.

Research output: Contribution to journalArticle

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