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

Published 2011-09-22, updated 2012-03-19Version 2

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.