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Integer Quantum Hall Transition on a Tight-Binding Lattice
Physical Review B
  • Martin Puschmann
  • Philipp Cain
  • Michael Schreiber
  • Thomas Vojta, Missouri University of Science and Technology

Even though the integer quantum Hall transition has been investigated for nearly four decades its critical behavior remains a puzzle. The best theoretical and experimental results for the localization length exponent ν differ significantly from each other, casting doubt on our fundamental understanding. While this discrepancy is often attributed to long-range Coulomb interactions, Gruzberg et al. [Phys. Rev. B 95, 125414 (2017)10.1103/PhysRevB.95.125414] recently suggested that the semiclassical Chalker-Coddington model, widely employed in numerical simulations, is incomplete, questioning the established central theoretical results. To shed light on the controversy, we perform a high-accuracy study of the integer quantum Hall transition for a microscopic model of disordered electrons. We find a localization length exponent ν=2.58(3) validating the result of the Chalker-Coddington network.

Keywords and Phrases
  • Critical behavior,
  • High-accuracy,
  • Localization length,
  • Long-range Coulomb interaction,
  • Microscopic modeling,
  • Quantum hall,
  • Tight binding
Document Type
Article - Journal
Document Version
Final Version
File Type
© 2019 American Physical Society (APS), All rights reserved.
Publication Date
Citation Information
Martin Puschmann, Philipp Cain, Michael Schreiber and Thomas Vojta. "Integer Quantum Hall Transition on a Tight-Binding Lattice" Physical Review B Vol. 99 Iss. 12 (2019) ISSN: 2469-9950; 2469-9969
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