Electronic control of edge-mode spectrum of integer-hall-effect 2d electron waveguides

Abstract

In this paper, the control of the edge-mode spectrum of integer-Hall-effect 2D waveguides by electric field is proposed and modeled with the effective mass approach. Under certain found conditions, the applied transversal electric field allows refining the modal spectrum from non-localized waves, and, additionally, it can switch the edge-mode from the propagating to the evanescent state, and it is interesting in the design of the edge-mode off and on logic components. These waveguides, arbitrary biased by potentials, are described by the Pauli spin-less charge equation, and they are simulated using the order reduction method of partial differential equations in its Kron s quantum-circuit representation. Additionally to the spectrum control mechanism, the influence of large-scale disorder of confinement potential and magnetic field on the edge localization and modal switching is studied