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Localization properties of fractons in percolating structures

Research output: Contribution to journalJournal article

Published

Journal publication date25/02/1991
JournalPhysical Review Letters
Journal number8
Volume66
Number of pages4
Pages1074-1077
Original languageEnglish

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.