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Phonon transmission via a three–terminal junction in low dimensional wave-guides

Published online by Cambridge University Press:  23 August 2006

M. Belhadi ,
A. Khater ,
J. Hardy  and
K. Maschke
M. Belhadi*
Affiliation:
Département de Physique, Faculté des Sciences, Université Mouloud Mammeri de Tizi-Ouzou, 15000 Tizi-Ouzou, Algeria
A. Khater
Affiliation:
Laboratoire PEC, Université du Maine, 72085 Le Mans, France Department of Physics, McGill University, 3600 rue University, Montreal, QC Canada H3A 2T8
J. Hardy
Affiliation:
Laboratoire d'Acoustique, Université du Maine, 72085 Le Mans, France
K. Maschke
Affiliation:
Institut de Théorie des Phénomènes Physiques, EPFL, 1015 Lausanne, Switzerland
*
mehand.belhadi@yahoo.comantoine.khater@univ-lemans.fr
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Abstract

Coherent phonon scattering and transmission via a three-terminal junction in low-dimensional structures is investigated. The model system consists of two-dimensional crystalline wave-guides, constructed of double atomic chains that are joined together by a nanostructured T-shaped junction. The matching method theoretical approach is used to study the dynamics of the system. A calculation is presented for the coherent reflection and transmission scattering probabilities of the system phonons, as elements of a Landauer type scattering matrix. The scattering and transmission spectra via the T-shaped junction are analyzed as a function of the incident frequency per propagating mode of the perfect wave-guides. Our results show that the junction is an effective phonon splitter and suggest that its characteristics may be controlled by varying its nanometric parameters. Asymmetric Fano-like resonances are observed in the spectra which result from the coherent coupling between the localized modes of the T-shaped junction and the propagating modes of the wave-guides.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 35 , Issue 3 , September 2006 , pp. 185 - 190
Copyright
© EDP Sciences, 2006

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