Quantum criticality, particle-hole symmetry, and duality of the plateau-insulator transition in the quantum Hall regime

Abstract

We report new experimental data on the plateau-insulator transition in the quantum Hall regime, taken from a low mobility InGaAs/InP heterostructure. By employing the fundamental symmetries of the quantum transport problem we are able to disentangle the universal quantum critical aspects of the magnetoresistance data (critical indices and scaling functions) and the sample dependent aspects due to macroscopic inhomogeneities. Our new results and methodology indicate that the previously established experimental value for the critical index (kappa = 0.42) resulted from an admixture of both universal and sample dependent behavior. A novel, non-Fermi liquid value is found (kappa = 0.57) along with the leading corrections to scaling. The statement of self-duality under the Chern Simons flux attachment transformation is verified.

4 pages, 2 figures

References in corpus (4)

• Establishing a non-Fermi liquid theory for disordered metals near two dimensions
• The effects of macroscopic inhomogeneities on the magneto transport properties of the electron gas in two dimensions
• Evidence for a Quantum Hall Insulator in an InGaAs/InP Heterostructure
• The effect of carrier density gradients on magnetotransport data measured in Hall bar geometry

Cited by in corpus (15)

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• Quantum criticality at the Chern-to-normal insulator transition
• Plateau insulator transition in graphene
• Emergence of integer quantum Hall effect from chaos
• Quantum critical behaviour of the plateau-insulator transition in the quantum Hall regime
• Observation of the quantized Hall insulator in the quantum critical regime of the two-dimensional electron gas
• An experimental study on $\Gamma$(2) modular symmetry in the quantum Hall system with a small spin-splitting
• Characterization of the Quantized Hall Insulator Phase in the Quantum Critical Regime
• Experimental probes of emergent symmetries in the quantum Hall system
• Magneto-transport of graphene and quantum phase transitions in the quantum Hall regime
• Mapping the Current-Current Correlation Function Near a Quantum Critical Point
• Super universality of the quantum Hall effect and the "large $N$ picture" of the $\vartheta$ angle