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Numerical Study of a Dual Representation of the Integer Quantum Hall Transition

Kevin S. Huang1, S. Raghu1,2, and Prashant Kumar1,3

  • 1Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA
  • 2Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
  • 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA

Phys. Rev. Lett. 126, 056802 – Published 4 February, 2021Erratum Phys. Rev. Lett. 127, 069903 (2021)

DOI: https://doi.org/10.1103/PhysRevLett.126.056802

Abstract

We study the critical properties of the noninteracting integer quantum Hall to insulator transition (IQHIT) in a “dual” composite-fermion (CF) representation. A key advantage of the CF representation over electron coordinates is that at criticality CF states are delocalized at all energies. The CF approach thus enables us to study the transition from a new vantage point. Using a lattice representation of CF mean-field theory, we compute the critical and multifractal exponents of the IQHIT. We obtain ν=2.56±0.02 and η=0.51±0.01, both of which are consistent with the predictions of the Chalker-Coddington network model formulated in the electron representation.

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