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


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/5657

Title:	Absence of the hump in the density of states of percolating clusters
Authors:	Yakubo K.¹ Browse this author →KAKEN DB
Authors:	Nakayama, T. Browse this author
Authors(alt):	矢久保, 考介¹
Issue Date:	1-Dec-1987
Publisher:	American Physical Society
Journal Title:	PHYSICAL REVIEW B
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
Relation:	http://www.aip.org/
Type:	article
URI:	http://hdl.handle.net/2115/5657
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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