Mesoscopic Transport and Persistent Current in the Aharonov-Bohm Rings

Abstract: The electronic transport of a non-interacting quantum rings serially connected to a quantum wire is investigated via the transfer matrix method. We discuss in detail some features of the band structure in multiple rings configuration in the presence of a magnetic field. Moreover, for a uniform quantum ring, the persistent current is found to exhibit a periodic band structure. The effect of magnetic field is also studied. This field is shown to shift the electronic spectrum and damp the amplitude of the persistent current density.

Key words: quantum transport, Aharonov-Bohn rings, persistent current.