TY - JOUR

T1 - Localization properties of fractons in percolating structures

AU - Lambert, Colin

AU - Hughes, G D

PY - 1991/2/25

Y1 - 1991/2/25

N2 - 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.

AB - 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.

KW - SIZE SCALING APPROACH

KW - ANDERSON LOCALIZATION

KW - ELASTIC NETWORKS

KW - 2 DIMENSIONS

KW - THRESHOLD

KW - EXPONENTS

KW - CONDUCTIVITY

KW - CONDUCTANCE

KW - SCATTERING

KW - CONJECTURE

U2 - 10.1103/PhysRevLett.66.1074

DO - 10.1103/PhysRevLett.66.1074

M3 - Journal article

VL - 66

SP - 1074

EP - 1077

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 8

ER -