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Acta Physica Sinica (Overseas Edition), 1998, Vol. 7(3): 196-202    DOI: 10.1088/1004-423X/7/3/006
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

QUANTUM DIFFUSION IN TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

YUAN HUI-QIU (袁辉球), ZHONG JIAN-XIN (钟建新)
Department of Physics, Xiangtan University, Xiangtan 411105, China
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.
Received:  04 May 1997      Revised:  22 October 1997      Accepted manuscript online: 
PACS:  61.44.Br (Quasicrystals)  
  66.30.Dn (Theory of diffusion and ionic conduction in solids)  
  71.23.Ft (Quasicrystals)  
Fund: Project supported by the National Natural Science Foundation of China and by the QC Science Foundation of Hunan Province.

Cite this article: 

YUAN HUI-QIU (袁辉球), ZHONG JIAN-XIN (钟建新) QUANTUM DIFFUSION IN TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS 1998 Acta Physica Sinica (Overseas Edition) 7 196

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