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Randomness at the Edge: Theory of Quantum Hall transport at filling $ν=2/3$

C. L. Kane·M. P. A. Fisher·J. Polchinski
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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 $T^{2/ν-2}$ to $T^2$.

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C. L. Kane, M. P. A. Fisher, J. Polchinski. 1994-02-25. Randomness at the Edge: Theory of Quantum Hall transport at filling $ν=2/3$. https://doi.org/10.1103/physrevlett.72.4129

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