The conductance of the asymmetric Aharonov-Bohm ring with a delta-potential barrier in the presence of Rashba spin-orbit interaction

This Letter deals with the effect of a delta-potential barrier on the one-dimensional and asymmetric Aharonov-Bohm ring with Rashba spin-orbit interaction. The analytic expressions of the transmission amplitude and conductance are derived by applying the transfer matrix method in the one-electron scattering formalism. Resorting to an adequate tuning of the Aharonov-Bohm magnetic flux and Rashba coupling strength, a control of the conductance can be done by varying the strength and the location of the barrier. This may be useful in the design of further mesoscopic spin filters by using suitable asymmetry configurations. -- Highlights: → An asymmetric Aharonov-Bohm ring with Rashba spin-orbit interaction is considered. → The effect of a delta-potential barrier on this ring is examined. → The analytic expression of the transmission amplitude is derived. → The conductance can be controlled by varying the barrier parameters. → The asymmetric ring can acts like a spin filter device.