Phonons transmission via atomic impurity chains grafted on 2D lattice
DOI:
https://doi.org/10.31349/RevMexFis.72.030502Abstract
An analytical and numerical formalism is developed to study the influence of the various positions of atomic chain impurities (of type B) on the scattering and transmission vibration spectra in a 2D plane structure (of type A). To achieve this, we have opted for the matching technique. Theoretical formalism provides a complete description of the lattice dynamics and elastic wave propagation through impurity sites. More particularly, it allows the determination of the dynamical properties and localized vibration states of the atomic chain deposited on the planar system. Numerical calculations are performed for three different positions of a B-atom chain on a 2D lattice: top, bridge and hollow. The results show that the phonons associated with the grafted chain are strongly depending on the scattering frequency, elastic force parameters and the position of the impurities. In the three considered configurations, the presence of the atomic chain gives rise to localized vibration effects. The observed fluctuations spectra are related to vibration resonances due to coherent coupling between travelling phonons and the localized vibration modes in the neighborhood of the impurity chain sites.
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