Scaling approach to phonon-fracton crossover

A. Aharony, S. Alexander, O. Entin-Wohlman, R. Orbach

Research output: Contribution to journalArticlepeer-review

83 Scopus citations

Abstract

A scaling approach is formulated for the vibrational modes, from phonon to fracton, of a fractal network. The ratio of fracton-to-phonon density of vibrational states at crossover is found to be noncritical, i.e., independent of the crossover length scale. A steplike increase in the density of states at crossover is justified by an appeal to the normalization requirement on a fractal network. Applications are made to different fractal models. Recent effective-medium-approximation results are shown to violate scaling.

Original languageEnglish
Pages (from-to)2565-2567
Number of pages3
JournalPhysical Review B
Volume31
Issue number4
DOIs
StatePublished - 1 Jan 1985
Externally publishedYes

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