Eur. Phys. J. Appl. Phys.
Volume 35, Number 3, September 2006
|Page(s)||185 - 190|
|Section||Surfaces, Interfaces and Films|
|Published online||23 August 2006|
Phonon transmission via a three–terminal junction in low dimensional wave-guides
Département de Physique, Faculté des Sciences, Université
Mouloud Mammeri de Tizi-Ouzou, 15000 Tizi-Ouzou, Algeria
2 Laboratoire PEC, Université du Maine, 72085 Le Mans, France
3 Department of Physics, McGill University, 3600 rue University, Montreal, QC Canada H3A 2T8
4 Laboratoire d'Acoustique, Université du Maine, 72085 Le Mans, France
5 Institut de Théorie des Phénomènes Physiques, EPFL, 1015 Lausanne, Switzerland
Revised: 5 June 2006
Accepted: 9 June 2006
Published online: 23 August 2006
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.
PACS: 63.22.+m – Phonons or vibrational states in low-dimensional structures and nanoscale materials / 63.20.Mt – Phonon-defect interactions
© EDP Sciences, 2006
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