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

TL;DR

This paper models transport in split-gate quantum constrictions, revealing how ac bias and magnetic fields can tune transport properties and induce time-dependent quasibound states and Aharonov-Bohm oscillations.

Contribution

It introduces a novel mixed momentum-coordinate approach to solve time-dependent transport equations in split-gate quantum systems.

Findings

Transport properties are tunable by ac bias and magnetic field.

Time-modulated quasibound states observed with inter-sideband transitions.

Aharonov-Bohm oscillations characterized in the system.

Abstract

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.