Scattering of fractons, the Ioffe-Regel criterion, and the (4/3) conjecture

Amnon Aharony*, S. Alexander, Ora Entin-Wohlman, R. Orbach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

96 Scopus citations


The relaxation time for scattering of vibrational modes by structural irregularities in d-dimensional random systems is shown to cross over from 1/d+1c-d for phonons (<c, the crossover frequency between phonon and fracton vibrational excitations) to 5-3d for fractons (d is the fracton dimensionality). The Ioffe-Regel criterion for localization, 1, and a scaling Ansatz, then lead to the Alexander-Orbach value, di=(4/3), and 1/ for all >c.. AE

Original languageEnglish
Pages (from-to)132-135
Number of pages4
JournalPhysical Review Letters
Issue number2
StatePublished - 1987
Externally publishedYes


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