中国物理B ›› 1998, Vol. 7 ›› Issue (3): 196-202.doi: 10.1088/1004-423X/7/3/006

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QUANTUM DIFFUSION IN TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

袁辉球, 钟建新   

  1. Department of Physics, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:1997-05-04 修回日期:1997-10-22 出版日期:1998-03-20 发布日期:1998-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and by the QC Science Foundation of Hunan Province.

QUANTUM DIFFUSION IN TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

YUAN HUI-QIU (袁辉球), ZHONG JIAN-XIN (钟建新)   

  1. Department of Physics, Xiangtan University, Xiangtan 411105, China
  • Received:1997-05-04 Revised:1997-10-22 Online:1998-03-20 Published:1998-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and by the QC Science Foundation of Hunan Province.

摘要: We have studied the quantum diffusion in an octagonal quasiperiodic tiling. Paticular attention is paid to the analysis of long-time behavior of the autocorrelation function C(t) and the relationship between diffusion and fractal dimensions of energy spectrum. For the pure hopping model, numerical calculations show that C(t)~t-1 , which corresponds to the case of periodic systems. For the combined model, in which the contribution of site potentials is considered, C(t)~t with 0<δ≤1. The scaling factor δ is related to Hamiltonian parameters and the type of site where electron is initially located. Moreover, we find a crossover from δ=1 to 0<δ<1 with increasing site potentials.

Abstract: We have studied the quantum diffusion in an octagonal quasiperiodic tiling. Paticular attention is paid to the analysis of long-time behavior of the autocorrelation function C(t) and the relationship between diffusion and fractal dimensions of energy spectrum. For the pure hopping model, numerical calculations show that C(tt-1 , which corresponds to the case of periodic systems. For the combined model, in which the contribution of site potentials is considered, C(tt-$\delta$ with 0<$\delta$≤1. The scaling factor $\delta$ is related to Hamiltonian parameters and the type of site where electron is initially located. Moreover, we find a crossover from $\delta$=1 to 0<$\delta$<1 with increasing site potentials.

中图分类号:  (Quasicrystals)

  • 61.44.Br
66.30.Dn (Theory of diffusion and ionic conduction in solids) 71.23.Ft (Quasicrystals)