Observation of the quantized Hall insulator in the quantum critical regime of the two-dimensional electron gas

Abstract

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with the plateau-insulator transition at a critical field $B_c$ of 17.2 T show that the Hall resistance $R_H$ is quantized at $h/e^2$ near the critical filling fraction (${\nu }_c$ = 0.55) when $T\to 0$. By making use of universal scaling functions extracted from the magnetotransport data we show that $R_H$ in the insulating phase in the limit $T\to 0$ is quantized at $h/e^2$ for all values of the scaling parameter $\Delta \nu /(T/T_0{)}^{\kappa }$ with $\Delta \nu =\nu -{\nu }_c$. However, as a function of $\Delta \nu$ (or magnetic field) the Hall resistance diverges in the limit $T\to 0$ for all values $\nu <{\nu }_c$.

arXiv commentimproved figures, paragraph added, accepted for publ. in PRB

References in corpus (16)

• A different view of the quantum Hall plateau-to-plateau transitions
• The Quantized Hall Insulator: A New Insulator in Two-Dimensions
• Probing the plateau-insulator quantum phase transition in the quantum Hall regime
• Hall Resistivity and Dephasing in the Quantum Hall Insulator
• The Nature of the Hall Insulator
• (Mis-)handling gauge invariance in the theory of the quantum Hall effect III: The instanton vacuum and chiral edge physics
• Symmetry in the insulator - quantum Hall - insulator transitions observed in a Ge/SiGe quantum well
• Quantum criticality, particle-hole symmetry, and duality of the plateau-insulator transition in the quantum Hall regime
• The effects of macroscopic inhomogeneities on the magneto transport properties of the electron gas in two dimensions
• Quantum Breakdown of the Quantized Hall Insulator
• 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
• New Insights into the Plateau-Insulator Transition in the Quantum Hall Regime
• A study on the universality of the magnetic-field-induced phase transitions in the two-dimensional electron system in an AlGaAs/GaAs heterostructure
• The Quantized Hall Insulator: a "Quantum" Signature of a "Classical" Transport Regime?
• Fluctuating Hall resistance defeats the quantized Hall insulator

Cited by in corpus (10)

• Metal to insulator transition on the N = 0 Landau level in graphene
• Quantum criticality at the Chern-to-normal insulator transition
• Quantum Hall transitions: An exact theory based on conformal restriction
• Characterization of the Quantized Hall Insulator Phase in the Quantum Critical Regime
• Weakly chiral networks and 2D delocalized states in a weak magnetic field
• Statistics of Conductances and Subleading Corrections to Scaling near the Integer Quantum Hall Plateau Transition
• Three-dimensional quasi-quantized Hall insulator phase in SrSi2
• Mapping the Current-Current Correlation Function Near a Quantum Critical Point
• A microscopic model for the magnetic field driven breakdown of the dissipationless state in the integer and fractional quantum Hall effect
• Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models