Conference paper

Authors list: Bunde, A; Kantelhardt, JW; Schweitzer, L

Publication year: 1998

Pages: 372-382

Journal: Annalen der Physik

Volume number: 7

Issue number: 5-6

ISSN: 0003-3804

eISSN: 1521-3889

DOI Link: https://doi.org/10.1002/andp.199851005-603

Conference: 210 WE-Heraeus-Seminar on Percolation, Interaction, Localization - Simulations of Transport in Disordered Systems

Publisher: Wiley

Abstract: 
After a short introduction into percolation theory we discuss the localization behavior of vibrational modes of infinite percolation clusters above the critical concentration in two and three dimensions. Results from level statistics show that all eigenstates are localized in d = 2, including the low frequency phonon states. In d = 3 there is evidence for a localization-delocalization transition. But contrary to the common view this transition occurs for frequencies above the phonon-fracton crossover giving rise to a new regime of extended fracton states.

Harvard Citation style: Bunde, A., Kantelhardt, J. and Schweitzer, L. (1998) Localization behavior of vibrational modes, Annalen der Physik, 7(5-6), pp. 372-382. https://doi.org/10.1002/andp.199851005-603

APA Citation style: Bunde, A., Kantelhardt, J., & Schweitzer, L. (1998). Localization behavior of vibrational modes. Annalen der Physik. 7(5-6), 372-382. https://doi.org/10.1002/andp.199851005-603