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• W2013906463 abstract "The electronic motion in quasiperiodic systems (the Harper model, the Fibonacci chain, two- and three-dimensional Fibonacci quasilattices) is studied, in the framework of a tight-binding Hamiltonian. The spreading with time of the wavepacket is described in terms of the behaviour of the autocorrelation function C(t). It is found that, in all cases, C(t) approximately t- delta . For the Harper model with lambda <2, the motion of the electron is ballistic ( delta =1), which goes against a previous estimate of delta =0.84. We show that this discrepancy is due to the neglect of a logarithmic contribution in the scaling analysis. For the Harper model with lambda =2 and the Fibonacci chain, the motion is non-ballistic with 0< delta <1. For the higher-dimensional Fibonacci quasilattices, C(t) exhibits a transition from a ballistic to a non-ballistic behaviour, upon varying the modulation strength of the quasiperiodicity. The relation between C(t) and the fractal dimensions of the spectral measure is also studied." @default.
• W2013906463 created "2016-06-24" @default.
• W2013906463 creator A5051245049 @default.
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• W2013906463 date "1995-10-30" @default.
• W2013906463 modified "2023-10-18" @default.
• W2013906463 title "Quantum dynamics in quasiperiodic systems" @default.
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• W2013906463 doi "https://doi.org/10.1088/0953-8984/7/44/008" @default.
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