## Abstract We propose a general formalism for describing the coexistence of coherent and resonant transport in hybrid mesoscopic structures. The approach is based on LandauerโBรผttiker formula for the electronic transmittance and on an old formula of Feshbach. The latter gives the complete Green fu
Transmission through a mesoscopic ring with a quantum dot
โ Scribed by Jian Wu; Bing-Lin Gu; Junjie Liu; Youjiang Guo; Jia-Lin Zhu; Jing-Zhi Yu; Yoshiyuki Kawazoe
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 89 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0375-9601
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โฆ Synopsis
The transmission through a mesoscopic ring with a quantum dot embedded in one of its arms is studied with a one-dimensional scattering model. The quantum dot is approached by a quantum well scatterer. With the use of a scattering matrix describing the junctions between the leads and the ring, it is analytically shown that the quantum interference and the resonant tunneling dominate the transmission. When the state of the dot is far from a resonance, the system acts as a quantum wire with two separated stubs at both ends. However, when a resonant tunneling through the dot occurs, an extra phase shift may be introduced to the wave through the dot and then the quantum interference effect may be flipped. The dependence of the total transmission coefficient on the properties of the quantum dot is also presented.
๐ SIMILAR VOLUMES
Making use of the equation of motion method and Keldysh Green function technique, we obtain a general current formula for a quantum-dot-ring with one of the dots connected to two electron reservoirs under a DC bias voltage. The transmission probability Tรฐoร as a function of electron o curve is prese
We have investigated the transport through a normal-metal-quantum-dot-superconductor NDS system applied by a Zeeman magnetic field on the multi-channel quantum dot. The nonequilibrium Green function technique is used, and the tunneling current is obtained. The tunneling current is affected by the Ze