Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Dynamics of an Electron in Quasiperiodic Systems. I. Fibonacci Model
Hisashi HiramotoShuji Abe
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1988 年 57 巻 1 号 p. 230-240

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Dynamics of an electron in quasiperiodic systems is studied numerically. Calculations are carried out for the one-dimensional tight-binding model with diagonal or off-diagonal modulation obeying the Fibonacci sequence. The width of the wavepacket of an electron put on a single site at time t=0 exhibits such an overall time evolution as \sqrt⟨Δx2⟩∼tα (0<α<1). The dynamical index α decreases continuously with increasing the modulation strength. This anomalous power-law diffusion is successfully interpreted in terms of renormalization group arguments in both the strong and weak modulation limits.
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