Time-Periodic Potential in a Magnetic Field

The transport through a quantum wire is investigated with an embedded time-periodic Gaussian-shaped potential, a static single Quantum Point Contact and a double Quantum Point Contact with and without a homogeneous perpendicular magnetic field. A mixed momentum-coordinate representation is used to obtain a coupled integral equation called the Lippmann-Schwinger equation. Numerical calculations are used to solve this equation which couples both the subbands and the sidebands in the system. The Landauer-Büttiker formalism is then used to calculate the conductance of the system. The numerical results show dip-and-peak structures in the conductance in the time-dependent case when the incident electrons can make inelastic transitions to a subband edge. They also show result obtained in the static case such as quasi-bound states, mode mixing, Aharonov-Bohm oscillations and edge states in a magnetic field. Ágri