J Mater Sci Technol ›› 1999, Vol. 15 ›› Issue (04): 351-353.

• Research Articles • Previous Articles     Next Articles

Dynamics of an Electron in Generalized Fibonacci Lattices

Huiqiu YUAN, Kaiwang ZHANG, Jianxin ZHONG   

  1. Department of physics, Xiangtan University, Xiangtan 411105, China
  • Received:1999-01-15 Revised:1999-03-15 Online:1999-07-28 Published:2009-10-10
  • Contact: Huiqiu YUAN

Abstract: Quantum dynamics in a family of generalized Fibonacci lattices have been studied. The autocorrelation function C(t) and the mean square displacement d(t) are investigated in the framework of a tight-binding Hamiltonian model. Numerical results show that C(t)- t-d and d(t)- tb. With the increase of modulation strength, d(t) exhibits a transition from ballistic (β=1) to non-ballistic behavior (0<β<1). However, we have 0<δ<1 in any case, and d decreases upon increasing the modulation strength. Moreover, approximately self-similar oscillations for both C(t) and d(t) are observed in the strong modulation cases.

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