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The conductance of a two-dimensional electron gas at the transition from onequantum Hall plateau to the next has sample-specific fluctuations as a functionof magnetic field and Fermi energy. Here we identify a universal feature ofthese mesoscopic fluctuations in a Corbino geometry: The amplitude of themagnetoconductance oscillations has an e^2/h resonance in the transitionregion, signaling a change in the topological quantum number of the insulatingbulk. This resonance provides a signed scaling variable for the criticalexponent of the phase transition (distinct from existing positive definitescaling variables).

Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition