DYNAMICS PROPERTIES OF HOLE DEFECT ON MESOSCOPIC 2D SYSTEM

Abstract

We present a study of the dynamic phenomena at the inhomogeneous surface crystalline. The breakdown of translation symmetry induced by the inhomogeneity, gives rise to localized modes at its neighbourhood. The formalism of the matching method, the Newton equation and Green function are used to calculate the Rayleigh branches and associate state densities. The numerical results are presented in a large band of scattering energies. This illustrates theoretically the variation of localized phonons and their spectra of states densities for the softening, homogeneous and the hardening elastic constants of the neighbourhood of the perturbed domain. The coherent coupling between these localized phonons induced by the defect and the travelling modes of the perfect waveguide lead to Fano resonances at the state density spectra and Rayleigh dispersion branches.