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19 April 2024
 
  » arxiv » 1110.4280

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Topological quantum number and critical exponent from conductance fluctuations at the quantum Hall plateau transition
I. C. Fulga ; F. Hassler ; A. R. Akhmerov ;
Date 19 Oct 2011
AbstractThe conductance of a two-dimensional electron gas at the transition from one quantum Hall plateau to the next has sample-specific fluctuations as a function of magnetic field and Fermi energy. Here we identify a universal feature of these mesoscopic fluctuations in a Corbino geometry: The amplitude of the magnetoconductance oscillations has an e^2/h resonance in the transition region, signaling a change in the topological quantum number of the insulating bulk. This resonance provides a signed scaling variable for the critical exponent of the phase transition (distinct from existing positive definite scaling variables).
Source arXiv, 1110.4280
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