Magnetic transport in laterally coupled layers

Abstract

We discuss magnetic transport in the system of two adjacent hard-wall layers exposed to a homogeneous field perpendicular to the layer plane and coupled laterally through a strip-shaped window in the common boundary. We show that the spectrum is a combination of absolutely continuous and flat bands, the latter being present only if the widths of the two layers are commensurate, and derive their properties. We also analyze the one-sided geometry in which the barrier separating the two layers is a halfplane.

15 pages, three figures

References in corpus (4)

• Edge Currents for Quantum Hall Systems, I. One-Edge, Unbounded Geometries
• Edge Currents for Quantum Hall Systems, II. Two-Edge, Bounded and Unbounded Geometries
• Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction
• Magnetic quantum currents in the presence of a Neumann wall