Randomness at the Edge: Theory of Quantum Hall transport at filling $ν=2/3$
arXiv:cond-mat/9402108 · doi:10.1103/PhysRevLett.72.4129
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 $T^2$.
12 pages 1 postscript figure appended, REVTEX 3.0