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 | |
| Publication status | Published - 1993 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
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Localized vibrational states on the extremity of an isolated inhomogeneity extending from the boundary into the bulk of two dimensional systems. / Khater, A.; Rafil, O.; Labaye, Y.; Pennec, Y.
In: Solid State Communications, Vol. 87, No. 1, 1993, p. 53-57.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Localized vibrational states on the extremity of an isolated inhomogeneity extending from the boundary into the bulk of two dimensional systems
AU - Khater, A.
AU - Rafil, O.
AU - Labaye, Y.
AU - Pennec, Y.
PY - 1993
Y1 - 1993
N2 - 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.
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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UR - http://www.scopus.com/inward/citedby.url?scp=0027625753&partnerID=8YFLogxK
U2 - 10.1016/0038-1098(93)90535-U
DO - 10.1016/0038-1098(93)90535-U
M3 - Article
VL - 87
SP - 53
EP - 57
JO - Solid State Communications
JF - Solid State Communications
SN - 0038-1098
IS - 1
ER -