Abstract
The effect of the surface termination on the phonon dispersion curves is illustrated by comparison with the bulk dispersion curves. After a review of Rayleigh’s theory of surface waves in elastic media the atomistic Born-von Karman theory for bulk phonons is presented. How the surface affects the surface vibrations is illustrated by the Green’s function theory and slab calculations. The chapter closes with some illustrations of surface phonon dispersion curves and their classification.
For those well ordered motions, and regular paces,
though they give no sound unto the ear,
yet to the understanding
they strike a note most full of harmony.
Sir Thomas Browne
(from Ziman, Principles of the Theory of Solids, 1972)
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Benedek, G., Toennies, J.P. (2018). The Physics of Surface Phonons. In: Atomic Scale Dynamics at Surfaces. Springer Series in Surface Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-56443-1_3
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