Measurement of the conductance distribution function at a quantum Hall transition

Abstract

We study experimentally the reproducible conductance fluctuations between the quantum Hall plateaus in the conductance of two-terminal submicron silicon MOSFETs. For the dramatic fluctuations at the insulator-to-first-plateau transition we find a conductance distribution that is approximately uniform between zero and $e^2/h$. We point out that this is consistent with the prediction of random $S$-matrix theory for a conductor with single-channel leads in a magnetic field.

10 pages, Revtex, 3 eps figures; final version with slight changes, accepted for publication in PRB Rapid Communications

References in corpus (3)

• Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
• Universal Quantum Signatures of Chaos in Ballistic Transport
• Effect of a Voltage Probe on the Phase-Coherent Conductance of a Ballistic Chaotic Cavity

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• Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition
• Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions
• Conductance distribution in quasi-one-dimensional disordered quantum wires
• Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
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• Near-Perfect Correlation of the Resistance Components of Mesoscopic Samples at the Quantum Hall Regime
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• Quantum Hall Criticality, Superconductor-Insulator Transition and Quantum Percolation
• Localization Length Exponent, Critical Conductance Distribution and Multifractality in Hierarchical Network Models for the Quantum Hall Effect
• Weakly chiral networks and 2D delocalized states in a weak magnetic field
• Fluctuating Hall resistance defeats the quantized Hall insulator
• Real-space renormalization-group approach to the integer quantum Hall effect
• Conductance distribution between Hall plateaus
• Quantum Hall criticality in an amorphous Chern insulator
• Two-terminal conductance fluctuations in the integer quantum Hall regime
• Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder
• Visibility diagrams and experimental stripe structure in the quantum Hall effect
• Transmission Resonances Anomaly in 1D Disordered Quantum Systems
• Conductance fluctuations at the fractional quantum Hall plateau transitions
• Characterization of the Local Density of States Fluctuations near the Integer Quantum Hall Transition in a Quantum Dot Array