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- W2065368234 abstract "We study the electron dynamics in one-dimensional periodic and aperiodic (Thue-Morse) crystals. For the periodic chain the mean-square displacement ${mathrm{ensuremath{sigma}}}^{2}$(t) and the integrated autocorrelation function C(t) of a quantum wave packet put on an initial site display unlimited ballistic motion defined by the asymptotic ${mathrm{ensuremath{sigma}}}^{2}$(t)ensuremath{sim}${mathit{t}}^{2}$ and the nonexponential C(t)ensuremath{sim}${mathit{t}}^{mathrm{ensuremath{-}}1}$ laws. In the spatial distribution of the wave packet we find unexpected ``phase chaos'' features. For the aperiodic Thue-Morse sequence our numerical results show super-diffusion [${mathrm{ensuremath{sigma}}}^{2}$(t)ensuremath{sim}${mathit{t}}^{3/2}$] and interesting self-similar oscillations for the ``return to the origin'' probability. The transmission coefficient of plane waves scattered from the aperiodic Thue-Morse sequence is shown to display self-similar band structure with completely transmissive modes which are related to the corresponding dynamics." @default.
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- W2065368234 date "1995-01-01" @default.
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- W2065368234 title "Quantum electron dynamics in periodic and aperiodic sequences" @default.
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- W2065368234 doi "https://doi.org/10.1103/physrevb.51.895" @default.
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