A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while charge-1/3 anyons produce a reentrant integer quantum Hall state.
Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu=2/3$
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Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new disordered-dominated edge phase. An exact solution of the random model in this phase gives a quantized Hall conductance of 2/3 and a neutral mode propagating upstream. The presence of the neutral mode changes the predicted temperature dependence for tunnelling through a point contact from $T^{2/\nu -2}$ to $T^2$.
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Anyon delocalization transitions out of a disordered FQAH insulator
A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while charge-1/3 anyons produce a reentrant integer quantum Hall state.