Oscillatory Magneto-Conductance in Quantum Waveguides with Lateral Multi-Barrier Structures

Abstract

The magneto-transport properties of a narrow quantum waveguide with lateral multi-barrier modulation are investigated theoretically. It is found that the magneto-conductance as a function of Fermi energy or magnetic field exhibits square-wave-like oscillations. In the presence of magnetic field, the edge states are formed near each barrier and the boundaries. Therefore, the number of edge states increases with the number of lateral barriers, leading to the increase of the propagating modes. On the other hand, owing to the tunneling effect a pair of edge states around the barrier region with opposite moving directions may be coupled and formed a circulating localized state, leading to the quenching of the related propagating states. The resulting dispersion relation exhibits oscillation structures superimposed on the bulk Landau levels. These novel conductance characteristics may provide potential applications to the fabrication of new quantum devices.