Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-6930
Authors: Los, Joop
Janssen, Ted
Gähler, Franz
Title: Lattice dynamics of 3-dimensional tilings modelling icosahedral quasicrystals
Issue Date: 1993
metadata.ubs.publikation.typ: Zeitschriftenartikel
metadata.ubs.publikation.source: Journal of non-crystalline solids 153/154 (1993), S. 581-585
URI: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-39863
http://elib.uni-stuttgart.de/handle/11682/6947
http://dx.doi.org/10.18419/opus-6930
Abstract: A study of the lattice dynamics of three-dimensional tilings modelling icosahedral quasicrystals is presented. The phonon density of states is calculated, and the character of the eigenstates is determined. Three different types of commensurate approximants are considered, namely symmetrized, perfect and randomized approximants. It appears that the density of states is smoothed by randomization. The participation ratio, which measures the rate of localization of an eigenmode, is given as a function of frequency. Only the states at the very upper end of the frequency spectrum appear to be localized, whereas all other states are extended. The density of states at low frequencies is analyzed in more detail, by applying a Brillouin zone integration over the lowest branches. It is found that these lowest branches scale for successive approximants.
Appears in Collections:15 Fakultätsübergreifend / Sonstige Einrichtung

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