Modeling conduction in electron waveguides with finite-range impurities

Hoshik Lee, Han Hsu, L. E. Reichl

研究成果: 雜誌貢獻期刊論文同行評審

11 引文 斯高帕斯(Scopus)

摘要

We study the conductance of an electron waveguide with a finite range impurity using reaction matrix theory. We compute the scattering matrix for the waveguide and use it to obtain an exact expression for the Landauer conductance. In an effort to simplify the computation of conductance in such systems, we review the convergence difficulties that occur if δ-function impurities in two space dimensions are used in place of finite range impurities. We compare our exact result for the waveguide conductance with a finite range impurity with the case of the δ-function impurity with the finite number of modes. We determine conditions for which a δ-function impurity can be used to approximate the conductance when a finite range impurity is present.

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文章編號045307
期刊Physical Review B - Condensed Matter and Materials Physics
71
發行號4
DOIs
出版狀態已出版 - 1月 2005

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