부산대학교 도서관

We study the effects of a Zeeman magnetic field on the electron transport of one-dimensional quantum rings which are marked by electronic states with $d-$orbital symmetry in the presence of spin-orbit and orbital Rashba couplings. By considering phase-coherent propagation, we analyse the geometric Aharonov-Anandan (AA) phase of the channels which is acquired in a closed path, by demonstrating that the orbital polarization can influence the electronic transport when amplitude and magnetic field directions are varied. We explore all the possible cases for the injection of electrons at various energies in the regime of low electron filling. The magnetic field can allow the selection of only one channel where the transmission is uniquely affected by the AA phase. Conversely, when more orbital channels are involved there is also a dynamical contribution that lead to oscillations in the transmission as the magnetic field is varied. In particular, the transmission is chiral when the energy states are close to the absolute minimum of the energy bands. Instead, when an interference between the channels occurs the orbital and spin contributions tend to balance each other with the increasing of the magnetic field amplitude resulting in a trivial AA phase. This saturation effect does not occur in the high magnetic field regime when orbital and spin properties of the channels exhibit sharp variations with direct consequences on the transport.
Comment: 6 pages, 5 figures