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dc.contributor.authorLos, Joopde
dc.contributor.authorJanssen, Tedde
dc.contributor.authorGähler, Franzde
dc.date.accessioned2009-04-30de
dc.date.accessioned2016-03-31T11:41:28Z-
dc.date.available2009-04-30de
dc.date.available2016-03-31T11:41:28Z-
dc.date.issued1993de
dc.identifier.other314261451de
dc.identifier.urihttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-39857de
dc.identifier.urihttp://elib.uni-stuttgart.de/handle/11682/6946-
dc.identifier.urihttp://dx.doi.org/10.18419/opus-6929-
dc.description.abstractA study of the phonon spectrum of the octagonal tiling is presented, by calculating and analysing the properties of the spectrum of perfect and randomized commensurate approximants with unit cells containing up to 8119 vertices. The total density of states, obtained by numerical integration over the Brillouin zone, exhibits much structure, and in the low frequency range of the spectrum there is deviation from the normal linear behaviour in the form of pseudogaps. For randomized approximants these pseudogaps disappear and the density of states is globally smoothened. It turns out that the widths of the gaps in the dispersion vanish in the low frequency limit. Therefore the scaling behaviour of the lowest branches tends to the behaviour of an absolutely continuous spectrum, which is not the case at higher frequencies. As an application, the vibrational specific heat of the different tiling models is calculated and compared to the specific heat of a square lattice and of a Debye model.en
dc.language.isoende
dc.rightsinfo:eu-repo/semantics/openAccessde
dc.subject.classificationPhonon , Parkettierungde
dc.subject.ddc530de
dc.titleThe phonon spectrum of the octagonal tilingen
dc.typearticlede
dc.date.updated2014-10-16de
ubs.fakultaetFakultätsübergreifend / Sonstige Einrichtungde
ubs.institutSonstige Einrichtungde
ubs.opusid3985de
ubs.publikation.sourceInternational journal of modern physics, B 7 (1993), S. 1505-1525. URL http://dx.doi.org/10.1142/S0217979293002468de
ubs.publikation.typZeitschriftenartikelde
Enthalten in den Sammlungen:15 Fakultätsübergreifend / Sonstige Einrichtung

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