On the Quantum Transport through an Asymmetric Aharonov-Bohm Ring with Rashba Spin-Orbit Interaction

The transmission amplitude through an asymmetric Aharonov-Bohm ring is derived analytically, in the presence of the Rashba spin-orbit interaction. For this purpose, one resorts to the transfer matrix method. The conductance is established in terms of the Landauer formalism and it is analyzed for different values of the asymmetry and ring-lead coupling parameters. A theoretical proposal to use the asymmetric ring like a spin filtering device is discussed, by an adequate tuning of the Aharonov-Bohm and Aharonov-Casher phases (via the magnetic field and the Rashba parameter).