Aharonov-Bohm oscillations in a mesoscopic ring with asymmetric arm-dependent injection

Abstract

Electron transport through mesoscopic, one-dimensional rings with asymmetric injection into the arms of the ring is studied, in the presence of a Aharonov-Bohm flux, by means of an appropriate $\mathbf{S}$ matrix. This matrix is expressed in terms of two parameters one of which ($\lambda$) accounts phenomenologically for this asymmetric injection into the arms of the ring. In addition, the effect of a scatterer placed in one arm of the ring is considered. Explicit expressions are obtained for the transmission as a function of the incident electron energy, the magnetic field, the asymmetry parameter $\lambda$, and the strength of the scatterer. Results of the literature for symmetric rings are described by $\lambda =1$ and readily recovered. We relate our results to rings of finite width.

8 pages, 5 figures

References in corpus (2)

• Modulating Unpolarized Current in Quantum Spintronics: Visibility of Spin-Interference Effects in Multichannel Aharonov-Casher Mesoscopic Rings
• Connecting wave functions at a three-leg junction of one-dimensional channels

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