Classical percolation fingerprints in the high-temperature regime of the integer quantum Hall effect

Abstract

We have performed magnetotransport experiments in the high-temperature regime (up to 50 K) of the integer quantum Hall effect for two-dimensional electron gases in semiconducting heterostructures. While the magnetic field dependence of the classical Hall law presents no anomaly at high temperatures, we find a breakdown of the Drude-Lorentz law for the longitudinal conductance beyond a crossover magnetic field B_c ~ 1 T, which turns out to be correlated with the onset of the integer quantum Hall effect at low temperatures. We show that the high magnetic field regime at B > B_c can be understood in terms of classical percolative transport in a smooth disordered potential. From the temperature dependence of the peak longitudinal conductance, we extract scaling exponents which are in good agreement with the theoretically expected values. We also prove that inelastic scattering on phonons is responsible for dissipation in a wide temperature range going from 1 to 50 K at high magnetic fields.

14 pages + 8 Figures

References in corpus (10)

• Anderson Transitions
• The Quantum Hall Transition in Real Space: From Localized to Extended States
• Critical exponent for the quantum Hall transition
• Finite Size Effects and Irrelevant Corrections to Scaling near the Integer Quantum Hall Transition
• Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum Hall effect
• Robust Nodal Structure of Landau Level Wave Functions Revealed by Fourier Transform Scanning Tunneling Spectroscopy
• Experimental Studies of Scaling Behavior of a Quantum Hall System with a Tunable Landau Level Mixing
• Fluctuating Hall resistance defeats the quantized Hall insulator
• Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions
• Transport via classical percolation at quantum Hall plateau transitions

Cited by in corpus (6)

• Unconventional Features in the Quantum Hall Regime of Disordered Graphene: Percolating Impurity States and Hall Conductance Quantization
• Quantum transport in chemically functionalized graphene at high magnetic field: Defect-Induced Critical States and Breakdown of Electron-Hole Symmetry
• Quantum transport through pairs of edge states of opposite chirality at electric and magnetic boundaries
• A solvable model of Landau quantization breakdown
• Giant Shubnikov-de Haas Oscillations with V-Shaped Minima in a High-Mobility Two-Dimensional Electron Gas: Experiment and Phenomenological Model
• Magnetic field influenced electron-impurity scattering and magnetotransport