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

Details 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 $ν=2/3$

1994-02-25

arxiv.org/abs/cond-mat/9402108v1

Physics

Condensed Matter

12 pages 1 postscript figure appended, REVTEX 3.0

Scientific paper

10.1103/PhysRevLett.72.4129

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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