Static skin effect in the quantum Hall regime for high‐mobility electrons on a cylindrical surface

Abstract

AbstractWe investigate the quantum Hall effect in a highmobility, two‐dimensional electron gas on a cylindrical surface. Due to the varying filling factor along the current path, the electron transport is characterized by sequential transmission along incompressible stripes and compressible bulk regions. For the compressible regions, we observe an exponential decay of the longitudinal resistances by rotating the sample around the cylinder axis. We adopt the model of the so‐called static skin effect for the conductance in the compressible bulk regions and demonstrate that this behavior can be ascribed to probing the skin channel width by moving the Hall bar terminals along the gradient of the magnetic field along the cylinder periphery. We determine L as the characteristic length for the exponential decay of the skin channel width by moving away from the position where the magnetic field is perpendicular to the surface. The values of L are in the sub‐micrometer range, similarly as for low magnetic fields. (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)