中国物理B ›› 1998, Vol. 7 ›› Issue (3): 196-202.doi: 10.1088/1004-423X/7/3/006
袁辉球, 钟建新
YUAN HUI-QIU (袁辉球), ZHONG JIAN-XIN (钟建新)
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-δ 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.
中图分类号: (Quasicrystals)