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

Qiong Zhu, Peng Wu, R. N. Bhatt, Xin Wan

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number024205
JournalPhysical Review B
Volume99
Issue number2
DOIs
StatePublished - Jan 29 2019

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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