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Tensorial green-function theory of atomic-wire T-junction transmission

Authors

  • Kenneth W. Sulston,

    Corresponding author
    1. Department of Mathematics & Statistics, University of Prince Edward Island, Charlottetown, Prince Edward Island, Canada C1A 4P3
    • Department of Mathematics & Statistics, University of Prince Edward Island, Charlottetown, Prince Edward Island, Canada C1A 4P3
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    • Fax: +1 902 566 0466

  • Sydney G. Davison

    1. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
    2. Department of Physics and the Guelph-Waterloo Physics Institute, University of Waterloo, Canada
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Abstract

A tensorial Green-function treatment of the electronic transmission properties of an atomic wire T-junction is presented within the framework of the tight-binding approximation. The adoption of the tensorial formalism enables overlap effects to be included in a straightforward manner, without the need to resort to a change in the Hilbert space. The T-junction structure and the presence of overlap effects both give rise to antiresonances. Although those due to the former are located inside the energy band, the latter appear at the band edges. The transmission is seen to depend in different ways on the bond energy and the overlap between the attached atom and the wire. © 2012 Wiley Periodicals, Inc.

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