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Randomness at the edge: Theory of quantum Hall transport at filling ν=2/3

Randomness at the edge: Theory of quantum Hall transport at filling ν=2/3

Current Luttinger liquid edge state theories for filling \ensuremath{\nu}=2/3 predict a nonuniversal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunneling we find a phase transition into a new disorder-dominated edge phase. An exact solution of the random model in this phase gives a quantized Hall conductance …