Second Landau Level Fractional Quantum Hall Effects in the Corbino Geometry

Abstract

For certain measurements, the Corbino geometry has a distinct advantage over the Hall and van der Pauw geometries, in that it provides a direct probe of the bulk 2DEG without complications due to edge effects. This may be important in enabling detection of the non-Abelian entropy of the 5/2 fractional quantum Hall state via bulk thermodynamic measurements. We report the successful fabrication and measurement of a Corbino-geometry sample in an ultra-high mobility GaAs heterostructure, with a focus on transport in the second and higher Landau levels. In particular, we report activation energy gaps of fractional quantum Hall states, with all edge effects ruled out, and extrapolate the conductivity prefactor from the Arrhenius fits. Our results show that activated transport in the second Landau level remains poorly understood. The development of this Corbino device opens the possibility to study the bulk of the 5/2 state using techniques not possible in other geometries.

References in corpus (9)

• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Direct measurements of the fractional quantum Hall effect gaps
• De-Pinning Transition of Bubble Phases in a High Landau Level
• Model for Dissipative Conductance in Fractional Quantum Hall States
• Filling factor dependence of the fractional quantum Hall effect gap
• Diffusion Thermopower of Quantum Hall States Measured in Corbino Geometry

Cited by in corpus (8)

• High quality magnetotransport in graphene using the edge-free Corbino geometry
• Competing charge density waves probed by non-linear transport and noise in the second and third Landau levels
• Specific heat and entropy of fractional quantum Hall states in the second Landau level
• In-plane electric fields and the $\nu =\frac{5}{2}$ fractional quantum Hall effect in a disk geometry
• Stability of the 5/2 Fractional Quantum Hall State in a Corbino Disc Sample with In-plane Electric Fields
• Domain Textures in the Fractional Quantum Hall Effect
• Anomalous Electronic Transport in High Mobility Corbino Rings
• Large composite fermion effective mass at filling factor 5/2