Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum Hall effect

We calculate numerically the localization length critical index within the Chalker-Coddington model of the plateau-plateau transitions in the quantum Hall effect. We report a finite-size scaling analysis using both the traditional power-law corrections to the scaling function and the inverse logarit...

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Published in:Physical review letters 2011-08, Vol.107 (6), p.066402-066402, Article 066402
Main Authors: Amado, M, Malyshev, A V, Sedrakyan, A, Domínguez-Adame, F
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Language:English
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description We calculate numerically the localization length critical index within the Chalker-Coddington model of the plateau-plateau transitions in the quantum Hall effect. We report a finite-size scaling analysis using both the traditional power-law corrections to the scaling function and the inverse logarithmic ones, which provided a more stable fit resulting in the localization length critical index ν = 2.616 ± 0.014. We observe an increase of the critical exponent ν with the system size, which is possibly the origin of discrepancies with early results obtained for smaller systems.
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title Numerical study of the localization length critical index in a network model of plateau-plateau transitions in the quantum Hall effect
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