Quantum dynamics of charge transfer on the one-dimensional lattice： Wave packet spreading and recurrence

The wave function temporal evolution on the one-dimensional （ID） lattice is considered in the tight-binding approxi- mation. The lattice consists of N equal sites and one impurity site （donor）. The donor differs from other lattice sites by the on-site electron energy E and the intersite coupling C....

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Bibliographic Details
Published in:Chinese physics B 2016-01, Vol.25 (1), p.817-830
Main Authors: Likhachev, V N, Shevaleevskii, O I, Vinogradov, G A
Format: Article
Language:English
Subjects:
charge transport
Electron energy
Exact solutions
Lattice sites
Lattices
Mathematical analysis
quantum dynamics
tight-binding approximation
Wave functions
Wave packets
Wave propagation
一维
复发
时间演化
晶格
波包传播
电荷转移
紧束缚近似
量子动力学
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Summary:The wave function temporal evolution on the one-dimensional （ID） lattice is considered in the tight-binding approxi- mation. The lattice consists of N equal sites and one impurity site （donor）. The donor differs from other lattice sites by the on-site electron energy E and the intersite coupling C. The moving wave packet is formed from the wave function initially localized on the donor. The exact solution for the wave packet velocity and the shape is derived at different values E and C. The velocity has the maximal possible group velocity v = 2. The wave packet width grows with time -t1/3 and its amplitude decreases ,- t-1/3. The wave packet reflects multiply from the lattice ends. Analytical expressions for the wave packet front propagation and recurrence are in good agreement with numeric simulations.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/25/1/018708