Level statistics for vibrational eigenstates of percolation clusters

Jan W. Kantelhardt, Armin Bunde and Ludwig Schweitzer

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 76-80

Abstract: We show that the method of level statistics can be applied successfully to investigate the localization behavior of vibrations and spin-wave states on the infinite percolation cluster for p⩾pc. The fluctuations of the density of states are well described within the framework of random matrix theory. We find that all excitations are localized for percolation clusters on the square lattice, including the so-called phonon (or magnon) states with low frequency (energy) and can conclude that the fracton–phonon crossover is not related to a localization–delocalization transition in d=2.

Keywords: Percolation; Vibrations; Localization; Level statistics (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437198005780
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:76-80

DOI: 10.1016/S0378-4371(98)00578-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().