Quantum diffusion in semi-infinite periodic and quasiperiodic systems

• 来源期刊: 中国物理B（英文版）
• 关键词: quantum diffusion semi-infinite periodic lattice quasiperiodic Fibonacci lattice
• 年，卷（期）: 2008,（3）
• 页码范围: 1113-1118
• 页数: 6页
• 语种: 英文

摘要

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 Fibonacei lattice. In this ease, there are still C(t)～t-δ and d(t) ～tβ. However, it finds that 0 < δ< 1 for smaller time, and δ=0 for larger time due to the influence of surface localized states. Moreover, β 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 diaeussed.