Scattering of Lattice Waves in Planar Surface with Grafted Adatomic Chains

H. Aouchichea and A. Kaddourib aLaboratoire de Mécanique, Structure et Énergétique, Université Mouloud Mammeri, Tizi-Ouzou, 15000 Algérie bEquipe SIAM--UFR:MEC, Département de Physique, Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech, Maroc

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Received: November 6, 2003; revised version: April 5, 2004

In the present work the scattering properties of a monolayer atomic lattice with grafted adatomic chains are investigated. In the case of two grafted lines, separated by a fixed distance, the localized states induced by the defect are determined. The transmission spectra are also obtained for various distances between the two chains and for additional chains regularly spaced. On the one hand, some Fabry-Perot oscillations are observed; their number is directly related to the number of adatomic lines. On the other hand, Fano resonances due to interaction between the localized states and the continuum are obtained. When the mass value of the adatom decreases, it is shown that the resonances move towards high frequencies in agreement with the harmonic oscillator frequency. Another novelty in this work consists of the observation of zeros of transmission in the spectra.

DOI: 10.12693/APhysPolA.106.25 PACS numbers: 61.46.+w, 63.50.+x, 63.20.Mt