| Quantum diffusion in semi-infinite periodic and quasiperiodic systems |
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| 引用本文： | 张凯旺. Quantum diffusion in semi-infinite periodic and quasiperiodic systems[J]. 中国物理 B, 2008, 17(3): 1113-1118 |
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| 作者姓名： | 张凯旺 |
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| 作者单位： | Department of Physics, Xiangtan University, Hunan rm411105, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No 19674046), by theCheung Kong Scholars Programme of China, and by the ConstructProgram of the Key Discipline in Hunan Province, China. |
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| 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 Fibonacci lattice. In this case, there are still C（t） - t^-δ and d（t） - t^β. 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 discussed.
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| 关 键 词： | 量子扩散 无限性 周期性晶格 斐波纳契数列 |
| 收稿时间： | 2007-06-08 |
| 修稿时间： | 2007-07-30 |
Quantum diffusion in semi-infinite periodic and quasiperiodic systems |
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| Zhang Kai-Wang. Quantum diffusion in semi-infinite periodic and quasiperiodic systems[J]. Chinese Physics B, 2008, 17(3): 1113-1118 |
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| Authors: | Zhang Kai-Wang |
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| Affiliation: | Department of Physics, Xiangtan University, Hunan rm411105, China |
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| Abstract: | This paper studies quantum diffusion in semi-infiniteone-dimensional periodic lattice and quasiperiodic Fibonaccilattice. It finds that the quantum diffusion in the semi-infiniteperiodic lattice shows the same properties as that for the infiniteperiodic lattice. Different behaviour is found for the semi-infiniteFibonacci lattice. In this case, there are still $C(t)sim t^{ -delta }$ and $d(t)sim t^{beta }$. However, it finds that This paper studies quantum diffusion in semi-infiniteone-dimensional periodic lattice and quasiperiodic Fibonaccilattice. It finds that the quantum diffusion in the semi-infiniteperiodic lattice shows the same properties as that for the infiniteperiodic lattice. Different behaviour is found for the semi-infiniteFibonacci lattice. In this case, there are still $C(t)sim t^{ -delta }$ and $d(t)sim t^{beta }$. However, it finds that This paper studies quantum diffusion in semi-infiniteone-dimensional periodic lattice and quasiperiodic Fibonaccilattice. It finds that the quantum diffusion in the semi-infiniteperiodic lattice shows the same properties as that for the infiniteperiodic lattice. Different behaviour is found for the semi-infiniteFibonacci lattice. In this case, there are still $C(t)sim t^{ -delta }$ and $d(t)sim t^{beta }$. However, it finds that This paper studies quantum diffusion in semi-infiniteone-dimensional periodic lattice and quasiperiodic Fibonaccilattice. It finds that the quantum diffusion in the semi-infiniteperiodic lattice shows the same properties as that for the infiniteperiodic lattice. Different behaviour is found for the semi-infiniteFibonacci lattice. In this case, there are still $C(t)sim t^{ -delta }$ and $d(t)sim t^{beta }$. However, it finds that $0
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| Keywords: | quantum diffusion semi-infinite periodic lattice quasiperiodic Fibonacci lattice |
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