Electron transport through a quantum cavity |
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| Affiliation: | 1. Department of Electrical Engineering, Techno India College of Technology, New Town, Rajarhat, Kolkata 700156, India;2. Department of Applied Physics, University College of Science, Technology and Agriculture, 92 A.P.C. Road, Kolkata 700001, India;1. Department of Geological Sciences, Stockholm University, Svante Arrhenius väg 8, SE-106 91 Stockholm, Sweden;2. Department of Geosciences, Swedish Museum of Natural History, Box 50 007, SE-104 05 Stockholm, Sweden |
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| Abstract: | Electron transport through a quantum cavity coupled with two one-dimensional waveguides is studied using a generalized scattering matrix method. In a symmetric N-channel cavity model, we are able to obtain an exact solution that predicts the electron energies at which the transmission of electron waves become zero. We found that the zero of transmission is closely related to the longitudinal resonance through inter-channel scattering, in particular, to the resonance of the highest propagating mode inside the cavity. This model provides a simple way to calculate the electron transmission through a cavity which could be useful in quantum waveguide engineering. |
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