Surface phonons and elastic surface waves

Authors

  • H. Büscher,

    1. Institut für Theoretische Physik II - Festkörperphysik der Westfälischen Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 10, W-4400 Münster, Germany
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  • W. Klein-Heßling,

    1. Institut für Theoretische Physik II - Festkörperphysik der Westfälischen Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 10, W-4400 Münster, Germany
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  • W. Ludwig

    1. Institut für Theoretische Physik II - Festkörperphysik der Westfälischen Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 10, W-4400 Münster, Germany
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Abstract

Theoretical investigations on the dynamics of the (001), (110) and (111) surfaces of some cubic metals (Ag, Cu, Ni) will be reviewed. Both, lattice dynamical and continuum theoretical results are obtained via a Green's function formalism. The main attitude of this paper is the comparison of our results with experiments and with results obtained via slab-calculations. The calculation of elastic surface waves has been performed using a modified surface-green-function-matching method. We have used two different approaches of calculation the bulk Green's function (a) using the spectral representation and (b) a method, what works on residues. The investigations are carried out using shortrange phenomenological potentials. The atomic force constants in the first surface layers are modified to describe surface phonon anomalies, observed by experiments. In the case of Ag (100) and Ag(110) we conclude that the detection of odd symmetry shear modes by Erskine et al. [1 a, b] was not very accurate.

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