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Absence of the hump in the density of states of percolating clusters

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Title: Absence of the hump in the density of states of percolating clusters
Authors: Yakubo K.1 Browse this author →KAKEN DB
Nakayama, T. Browse this author
Authors(alt): 矢久保, 考介1
Issue Date: 1-Dec-1987
Publisher: American Physical Society
Volume: 36
Issue: 16
Start Page: 8933
End Page: 8936
Publisher DOI: 10.1103/PhysRevB.36.8933
Abstract: The vibrational densities of states of two-dimensional percolating clusters with very large cluster size are investigated using a novel numerical method. It is confirmed that the fracton density of states is proportional to ω1/3 in accord with the conjecture of Alexander and Orbach. We find that there is no notable steepness or hump in the phonon-fracton crossover region, in conflict with the prediction of the effective-medium theory. It is shown that the fracton modes are localized in "peninsulas" in percolating clusters.
Rights: Copyright © 1987 American Institute of Physics
Type: article
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 矢久保 考介

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