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Interaction of a discrete soliton with a surface mode

Interaction of a discrete soliton with a surface mode We examine the formation of bound state(s) near the surface of a semi-infinite tight-binding chain, when both, a linear surface mode and a nonlinear impurity located at distance d from the surface, are present. By using the formalism of lattice Green functions, we obtain an exact equation for the allowed bound states, and find that in general, up to five bound states are possible, although not all of them are stable. The presence of a surface mode can alter considerably the critical nonlinearity needed to form a bound state on the nonlinear impurity site, when the impurity is close to the surface. When the surface state is “on,” interference effects between its tail and the discrete soliton tail can lead to a destabilization of the latter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Interaction of a discrete soliton with a surface mode

Physical Review B , Volume 73 (1) – Jan 1, 2006
6 pages

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References (36)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2006 The American Physical Society
ISSN
1550-235X
DOI
10.1103/PhysRevB.73.014204
Publisher site
See Article on Publisher Site

Abstract

We examine the formation of bound state(s) near the surface of a semi-infinite tight-binding chain, when both, a linear surface mode and a nonlinear impurity located at distance d from the surface, are present. By using the formalism of lattice Green functions, we obtain an exact equation for the allowed bound states, and find that in general, up to five bound states are possible, although not all of them are stable. The presence of a surface mode can alter considerably the critical nonlinearity needed to form a bound state on the nonlinear impurity site, when the impurity is close to the surface. When the surface state is “on,” interference effects between its tail and the discrete soliton tail can lead to a destabilization of the latter.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jan 1, 2006

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