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Localization-length exponent in two models of quantum Hall plateau transitions

Author(s): Zhu, Q; Wu, P; Bhatt, Ravindra N; Wan, X

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Abstract: © 2019 American Physical Society. Motivated by the recent numerical studies on the Chalker-Coddington network model that found a larger-than-expected critical exponent of the localization length characterizing the integer quantum Hall plateau transitions, we revisited the exponent calculation in the continuum model and in the lattice model, both projected to the lowest Landau level or subband. Combining scaling results with or without the corrections of an irrelevant length scale, we obtain ν=2.48±0.02, which is larger but still consistent with the earlier results in the two models, unlike what was found recently in the network model. The scaling of the total number of conducting states, as determined by the Chern number calculation, is accompanied by an effective irrelevant length scale exponent y=4.3 in the lattice model, indicating that the irrelevant perturbations are insignificant in the topology number calculation.
Publication Date: 29-Jan-2019
Citation: Zhu, Q, Wu, P, Bhatt, RN, Wan, X. (2019). Localization-length exponent in two models of quantum Hall plateau transitions. Physical Review B, 99 (2), 10.1103/PhysRevB.99.024205
DOI: doi:10.1103/PhysRevB.99.024205
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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