Scaling laws under quantum Hall effect for a smooth disorder potential

We carried out the analysis of discovered experimental values of the critical parameter κ for the quantum Hall plateau-plateau transitions in modulation-doped GaAs/AlGaAs heterostructures. It turned out that these values are in the main concentrated at the range of 0.5–0.7. We argue that within the...

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Bibliographic Details
Published in:Low temperature physics (Woodbury, N.Y.) N.Y.), 2019-02, Vol.45 (2), p.176-180
Main Authors: Gudina, S. V., Klepikova, A. S., Neverov, V. N., Shelushinina, N. G., Yakunin, M. V.
Format: Article
Language:English
Subjects:
Electrons
Heterostructures
Percolation
Quantum Hall effect
Quantum tunnelling
Scaling laws
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Summary:We carried out the analysis of discovered experimental values of the critical parameter κ for the quantum Hall plateau-plateau transitions in modulation-doped GaAs/AlGaAs heterostructures. It turned out that these values are in the main concentrated at the range of 0.5–0.7. We argue that within the theoretical concepts for the large-scale disorder potential, it corresponds to a borderland between quantum tunnelling processes and classical percolation regime. Just, the critical exponent value for the bandwidth of delocalized states, κ = 0.54 ± 0.01, obtained by us for HgTe-based heterostructure with inverted band spectrum, can be associated with a smooth character of impurity potential in our system.
ISSN:1063-777X
1090-6517
DOI:10.1063/1.5086407