Quantum transport in two-channel fractional quantum Hall edges

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Abstract
We study the effect of backward scatterings in the tunneling at a point contact between the edges of second-level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only when both of the edge channels propagate in the same direction. It is shown that the quasiparticle-tunneling picture and the electron-tunneling picture give different scaling behaviors of the conductances, which indicates the existence of a crossover between the two pictures. When the direction of two edge channels are opposite, e.g., in the case of MacDonald's edge construction for the ν=2/3 state [Phys. Rev. Lett. 64, 220 (1990)], the phase diagram is divided into two domains giving a different temperature dependence of the conductance.
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