Landau velocity for collective quantum Hall breakdown in bilayer graphene

Abstract

Breakdown of the quantum Hall effect (QHE) is commonly associated with an electric field approaching the inter Landau-level (LL) Zener field, ratio of the Landau gap and cyclotron radius. Eluded in semiconducting heterostructures, in spite of extensive investigation, the intrinsic Zener limit is reported here using high-mobility bilayer graphene and high-frequency current noise. We show that collective excitations arising from electron-electron interactions are essential. Beyond a noiseless ballistic QHE regime a large superpoissonian shot noise signals the breakdown via inter-LL scattering. The breakdown is ultimately limited by collective excitations in a regime where phonon and impurity scattering are quenched. The breakdown mechanism can be described by a Landau critical velocity as it bears strong similarities with the roton mechanism of superfluids.

13 pages, 3 figures

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• Fundamental dissipation due to bound fermions in the zero-temperature limit
• Hyperbolic Phonon Polariton Electroluminescence as an Electronic Cooling Pathway
• A corner reflector of graphene Dirac fermions as a phonon-scattering sensor
• Graphene's non-equilibrium fermions reveal Doppler-shifted magnetophonon resonances accompanied by Mach supersonic and Landau velocity effects
• Magneto-exciton limit of quantum Hall breakdown in graphene