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arXiv · 1109.4866

Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels

Roberto Bondesan·Ilya A. Gruzberg·Jesper Lykke Jacobsen·Hideaki Obuse·Hubert Saleur
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Abstract

Critical properties of quantum Hall systems are affected by the presence of extra edge channels - present, in particular, at higher plateau transitions. We study this phenomenon for the case of the spin quantum Hall transition. Using supersymmetry we map the corresponding network model to a classical loop model, whose boundary critical behavior was recently determined exactly. We verify predictions of the exact solution by extensive numerical simulations.

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Roberto Bondesan, Ilya A. Gruzberg, Jesper Lykke Jacobsen, Hideaki Obuse, Hubert Saleur. 2012-03-19. Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels. https://doi.org/10.1103/physrevlett.108.126801

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