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- W2023155718 abstract "We investigate the dynamical properties of the quantum percolation model at the critical percolation threshold pc in two dimensions by means of the spreading of a wave packet. We find that for t → ∞ the mean square displacement R2(t) converges to R2(t) ≃ 92. In order to obtain a microscopic insight we investigate the averaged squared wave function 〈|ψ(r,t)|2〉 for fixed time t and find that up to a crossover distance r× its spatial decay is given by a stretched exponential with exponent u ≃ 0.58. The exponent u agrees with the exponent dψ obtained recently for the corresponding time independent localization problem. Furthermore we find that the averaged moments 〈|ψ(r,t)|2q〉 for fixed time t scale in a multifractal way 〈|ψ(r,t)|2q〉 ∼ 〈|ψ(r,t)|2〉τ(q) with τ(q) ∼ qδ and δ ≃ 1.25 ± 0.05." @default.
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- W2023155718 date "1998-11-01" @default.
- W2023155718 modified "2023-09-25" @default.
- W2023155718 title "Solving the Schrödinger equation on percolation structures by means of the equation of motion method" @default.
- W2023155718 doi "https://doi.org/10.1002/(sici)1521-3889(199811)7:5/6<539::aid-andp539>3.0.co;2-m" @default.
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