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

► 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.