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

TL;DR

This paper investigates the critical behavior of the spin quantum Hall transition with multiple edge channels, deriving exact exponents through supersymmetry and classical loop model mapping, supported by numerical simulations.

Contribution

It provides the first exact exponents for the spin quantum Hall transition with multiple edge channels using supersymmetry and loop model techniques.

Findings

Exact critical exponents for the transition

Verification through extensive numerical simulations

Boundary critical behavior characterized precisely

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.