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Localization properties of fractons in percolating structures

Lambert, Colin and Hughes, G D (1991) Localization properties of fractons in percolating structures. Physical Review Letters, 66 (8). pp. 1074-1077. ISSN 1079-7114

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Abstract

Scaling curves for the density of states and localization length of fractons near a percolation threshold are obtained for dilute and superconducting lattices in both two and three dimensions. These are used to verify the predictions of single-parameter scaling and to show that the energy dependence of the inverse localization length is consistent with known values of the spectral dimensionalities of these structures. The results demonstrate that eigenstates of an infinite, percolating, dilute structure exhibit superlocalization of the form psi(r) approximately e -beta-r-delta with values of delta = 1.13 +/- 0.06 and 1.39 +/- 0.07 in two and three dimensions, respectively.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Uncontrolled Keywords: SIZE SCALING APPROACH ; ANDERSON LOCALIZATION ; ELASTIC NETWORKS ; 2 DIMENSIONS ; THRESHOLD ; EXPONENTS ; CONDUCTIVITY ; CONDUCTANCE ; SCATTERING ; CONJECTURE
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 49666
Deposited By: ep_importer_pure
Deposited On: 08 Sep 2011 14:46
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 19:31
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/49666

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