A simple analytical model for electronic conductance in a one dimensional atomic chain across a defect

Antoine Khater, Dominik Szczȩśniak

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

An analytical model is presented for the electronic conductance in a one dimensional atomic chain across an isolated defect. The model system consists of two semi infinite lead atomic chains with the defect atom making the junction between the two leads. The calculation is based on a linear combination of atomic orbitals in the tight-binding approximation, with a single atomic one s-like orbital chosen in the present case. The matching method is used to derive analytical expressions for the scattering cross sections for the reflection and transmission processes across the defect, in the Landauer-Buttiker representation. These analytical results verify the known limits for an infinite atomic chain with no defects. The model can be applied numerically for one dimensional atomic systems supported by appropriate templates. It is also of interest since it would help establish efficient procedures for ensemble averages over a field of impurity configurations in real physical systems.

Original languageEnglish
Article number012013
JournalJournal of Physics: Conference Series
Volume289
Issue number1
DOIs
Publication statusPublished - 2011
Externally publishedYes

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defects
electronics
orbitals
scattering cross sections
templates
impurities
configurations
approximation
atoms

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A simple analytical model for electronic conductance in a one dimensional atomic chain across a defect. / Khater, Antoine; Szczȩśniak, Dominik.

In: Journal of Physics: Conference Series, Vol. 289, No. 1, 012013, 2011.

Research output: Contribution to journalArticle

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