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Chin. Phys. B, 2008, Vol. 17(3): 1113-1118    DOI: 10.1088/1674-1056/17/3/060
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Quantum diffusion in semi-infinite periodic and quasiperiodic systems

Zhang Kai-Wang(张凯旺)
Department of Physics, Xiangtan University, Hunan rm 411105, China
Abstract  This paper studies quantum diffusion in semi-infinite one-dimensional periodic lattice and quasiperiodic Fibonacci lattice. It finds that the quantum diffusion in the semi-infinite periodic lattice shows the same properties as that for the infinite periodic lattice. Different behaviour is found for the semi-infinite Fibonacci lattice. In this case, there are still $C(t)\sim t^{ - \delta }$ and $d(t)\sim t^{\beta }$. However, it finds that $0 < \delta < 1$ for smaller time, and $\delta = 0$ for larger time due to the influence of surface localized states. Moreover, $\beta $ for the semi-infinite Fibonacci lattice is much smaller than that for the infinite Fibonacci lattice. Effects of disorder on the quantum diffusion are also discussed.
Keywords:  quantum diffusion      semi-infinite      periodic lattice      quasiperiodic Fibonacci lattice  
Received:  08 June 2007      Revised:  30 July 2007      Accepted manuscript online: 
PACS:  71.23.Ft (Quasicrystals)  
  68.35.Fx (Diffusion; interface formation)  
  71.23.An (Theories and models; localized states)  
  73.20.Fz (Weak or Anderson localization)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19674046), by the Cheung Kong Scholars Programme of China, and by the Construct Program of the Key Discipline in Hunan Province, China.

Cite this article: 

Zhang Kai-Wang(张凯旺) Quantum diffusion in semi-infinite periodic and quasiperiodic systems 2008 Chin. Phys. B 17 1113

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