Localized vibrational states on the extremity of an isolated inhomogeneity extending from the boundary into the bulk of two dimensional systems

A. Khater; O. Rafil; Y. Labaye; Y. Pennec

doi:10.1016/0038-1098(93)90535-U

Localized vibrational states on the extremity of an isolated inhomogeneity extending from the boundary into the bulk of two dimensional systems

A. Khater, O. Rafil, Y. Labaye, Y. Pennec

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

A two dimensional system consisting of a half-infinite linear chain of A atoms wedged between two quarter-infinite square lattices of B atoms is considered to be bound. We present a calculation for the localized vibrational states on the extremity of the chain A at the boundary as a function of the system parameters. The chain, regarded as an isolated inhomogeneity extending from the boundary into the bulk of the system, together with the surface boundary, break the symmetry in two dimensions. The matching method is used, and it is shown that it is necessary to generalize the method in two dimensions in order to treat the evanescent vibrational states of the system.

Original language	English
Pages (from-to)	53-57
Number of pages	5
Journal	Solid State Communications
Volume	87
Issue number	1
DOIs	https://doi.org/10.1016/0038-1098(93)90535-U
Publication status	Published - 1993
Externally published	Yes

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ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics

Cite this

Khater, A., Rafil, O., Labaye, Y., & Pennec, Y. (1993). Localized vibrational states on the extremity of an isolated inhomogeneity extending from the boundary into the bulk of two dimensional systems. Solid State Communications, 87(1), 53-57. https://doi.org/10.1016/0038-1098(93)90535-U

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AB - A two dimensional system consisting of a half-infinite linear chain of A atoms wedged between two quarter-infinite square lattices of B atoms is considered to be bound. We present a calculation for the localized vibrational states on the extremity of the chain A at the boundary as a function of the system parameters. The chain, regarded as an isolated inhomogeneity extending from the boundary into the bulk of the system, together with the surface boundary, break the symmetry in two dimensions. The matching method is used, and it is shown that it is necessary to generalize the method in two dimensions in order to treat the evanescent vibrational states of the system.

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10.1016/0038-1098(93)90535-U