Coherent magnetotransport and time-dependent transport through split-gated quantum constrictions

The authors report on modeling of transport spectroscopy in split-gate controlled quantum constrictions. A mixed momentum-coordinate representation is employed to solve a set of time-dependent Lippmann-Schwinger equations with intricate coupling between the subbands and the sidebands. Our numerical results show that the transport properties are tunable by adjusting the ac-biased split-gates and the applied perpendicular magnetic field. We illustrate time-modulated quasibound-state features involving inter-sideband transitions and the Aharonov-Bohm oscillation characteristics in the split-gated systems.