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Vibrational properties of bond-diluted triangular lattices

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Zeitschrift für Physik B Condensed Matter

Abstract

Vibrational properties of two-dimensional (2D) triangular elastic bond percolation systems with scalar, central, and bond-bending forces are studied by using the HCPA, the recursion method and the replica trick. The densities of states calculated by means of the HCPA agree qualtatively well with corresponding results of the recursion method. The low-frequency behaviour of the density of states can be interpreted in terms of a phonon-fracton crossover. The dynamic structure factor calculated with the aid of the HCPA for the scalar model exhibits for any wave vector only a single peak, contrary to threedimensional systems.

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Author notes

  1. A. Freyberg

    Present address: Institut für Polymerenchemie Teltow, GDR

Authors and Affiliations

  1. Sektion Physik der Technischen Universität Magdeburg, Postschließfach 124, DDR-3010, Magdeburg, German Democratic Republic

    H. Böttger, A. Freyberg & D. Wegener

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  1. H. Böttger
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  2. A. Freyberg
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  3. D. Wegener
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Böttger, H., Freyberg, A. & Wegener, D. Vibrational properties of bond-diluted triangular lattices. Z. Physik B - Condensed Matter 79, 415–422 (1990). https://doi.org/10.1007/BF01437652

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  • DOI: https://doi.org/10.1007/BF01437652

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