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

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4]
  1. Peking Univ., Beijing (China); Zhejiang Univ., Hangzhou (China); DOE/OSTI
  2. Zhejiang Univ., Hangzhou (China)
  3. Princeton Univ., NJ (United States)
  4. Zhejiang Univ., Hangzhou (China); Nanjing Univ. (China)
+ Show Author Affiliations
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. Here, 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.
Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
NSFC; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0002140
OSTI ID:
1610642
Alternate ID(s):
OSTI ID: 1492753
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 2 Vol. 99; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (4)

Random network models with variable disorder of geometry journal October 2019
Integer quantum Hall transition on a tight-binding lattice journal March 2019
Integer quantum Hall transition on a tight-binding lattice text January 2018
Random network models with variable disorder of geometry text January 2019

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Related Subjects

2-dimensional systems
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Disordered systems
Finite-size scaling
Integer quantum Hall effect
Localization
Materials science
Physics