Dynamical scaling of the quantum Hall plateau transition

Abstract

Using different experimental techniques we examine the dynamical scaling of the quantum Hall plateau transition in a frequency range f = 0.1-55 GHz. We present a scheme that allows for a simultaneous scaling analysis of these experiments and all other data in literature. We observe a universal scaling function with an exponent kappa = 0.5 +/- 0.1, yielding a dynamical exponent z = 0.9 +/- 0.2.

v2: Length shortened to fulfil Journal criteria

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• Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
• Terahertz dynamics of a topologically protected state: quantum Hall effect plateaus near cyclotron resonance in a GaAs/AlGaAs heterojunction
• Experimental Studies of Scaling Behavior of a Quantum Hall System with a Tunable Landau Level Mixing
• Electron correlations and single-particle physics in the Integer Quantum Hall Effect
• High-frequency breakdown of the integer QHE in GaAs/AlGaAs heterojunctions
• Quantum Hall Criticality, Superconductor-Insulator Transition and Quantum Percolation
• Dynamical scaling analysis of the optical Hall conductivity in the quantum Hall regime
• Possible existence of a band of extended states induced by inter-Landau-band mixing in quantum Hall system
• Two parameter flow of σ_{xx}(ω) - σ_{xy}(ω) for the graphene quantum Hall system in ac regime
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics