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 matrix. This matrix is expressed in terms of two parameters, one of which 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 , and the strength of the scatterer. Results of the literature for symmetric rings are described by and readily recovered. We relate our results to rings of finite width.
- Received 31 January 2006
DOI:https://doi.org/10.1103/PhysRevB.75.035304
©2007 American Physical Society