Localization Exponents of Waves in Percolation Systems
1992 年 61 巻 7 号 p. 2173-2177
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1992 年 61 巻 7 号 p. 2173-2177
The asymptotic behavior of localized wave functions of fractons and electrons in bond-percolation systems is investigated numerically by calculating the system-size dependence of the conductance. It is found that two-dimensional (2d) fracton wave functions are superlocalized with dφ=1.26±0.02, where dφ is the exponent indicating the strength of localization, while localized electronic states in 2d percolation systems decay exponentially (dφ=1).
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