Randomness at the Edge: Theory of Quantum Hall transport at filling ν=2/3
C. L. Kane, M. P. A. Fisher, J. Polchinski
Abstract
Current Luttinger liquid edge state theories for filling ν=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 T2/ν-2 to T2.
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