Quantum Hall effect in a high-mobility two-dimensional electron gas on the surface of a cylinder

Abstract

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous current-density distribution gives rise to additional features in the magneto-transport, such as resistance asymmetry and modified longitudinal resistances. We experimentally demonstrate that the asymmetry relations satisfied in the integer filling factor regime are valid also in the transition regime to non-integer filling factors, thereby suggesting a more general form of these asymmetry relations. A model is developed based on the screening theory of the integer quantum Hall effect that allows the self-consistent calculation of the local electron density and thereby the local current density including the current along incompressible stripes. The model, which also includes the so-called `static skin effect' to account for the current density distribution in the compressible regions, is capable of explaining the main experimental observations. Due to the existence of an incompressible-compressible transition in the bulk, the system behaves always metal-like in contrast to the conventional Landauer-Buettiker description, in which the bulk remains completely insulating throughout the quantized Hall plateau regime.

References in corpus (7)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
• Giant asymmetry of the longitudinal magnetoresistance in high-mobility two-dimensional electron gas on a cylindrical surface
• Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Range-Dependent Disorder Effects on the Plateau-Widths Calculated within the Screening Theory of the Iqhe
• The Interrelation between Incompressible Strips and Quantized Hall Plateaus

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