Quantum Waveguide Properties of Bethe Lattices with a Ring
LIN Zhi-Ping1,2, HOU Zhi-Lin2, LIU You-Yan2
1Department of Physics, Guangdong University of Technology, Guangzhou 5100902Department of Physics, South China University of Technology, Guangzhou 510640
Quantum Waveguide Properties of Bethe Lattices with a Ring
LIN Zhi-Ping1,2, HOU Zhi-Lin2, LIU You-Yan2
1Department of Physics, Guangdong University of Technology, Guangzhou 5100902Department of Physics, South China University of Technology, Guangzhou 510640
摘要Based on waveguide theory we investigate electronic transport properties of Bethe lattices with a mesoscopic ring threaded by a magnetic flux. The generalized eigen-function method (GEM) is used to calculate the transmission and reflection coefficients up to the fifth generation of Bethe lattices. The relationships among the transmission coefficient T, magnetic flux Φ and wave vector kl are investigated in detail. The numerical results are shown by the three-dimensional plots and contour maps. Some resonant-transmission features and the symmetry of the transmission coefficient T to flux Φ are observed and discussed.
Abstract：Based on waveguide theory we investigate electronic transport properties of Bethe lattices with a mesoscopic ring threaded by a magnetic flux. The generalized eigen-function method (GEM) is used to calculate the transmission and reflection coefficients up to the fifth generation of Bethe lattices. The relationships among the transmission coefficient T, magnetic flux Φ and wave vector kl are investigated in detail. The numerical results are shown by the three-dimensional plots and contour maps. Some resonant-transmission features and the symmetry of the transmission coefficient T to flux Φ are observed and discussed.
LIN Zhi-Ping;HOU Zhi-Lin;LIU You-Yan. Quantum Waveguide Properties of Bethe Lattices with a Ring[J]. 中国物理快报, 2008, 25(11): 4105-4108.
LIN Zhi-Ping, HOU Zhi-Lin, LIU You-Yan. Quantum Waveguide Properties of Bethe Lattices with a Ring. Chin. Phys. Lett., 2008, 25(11): 4105-4108.
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2008, Vol. 25 
