Quantum Transport in Two-Channel Fractional Quantum Hall Edges

Details Quantum Transport in Two-Channel Fractional Quantum Hall Edges Quantum Transport in Two-Channel Fractional Quantum Hall Edges

1996-11-20

arxiv.org/abs/cond-mat/9611148v1

Phys. Rev. B55, 7690 (1997).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages (REVTeX and 1 Postscript figure)

Scientific paper

10.1103/PhysRevB.55.7690

We study the effect of backward scatterings in the tunneling at a point contact between the edges of a 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 $\nu=2/3$ state, the phase diagram is divided into two domains giving different temperature dependence of the conductance.

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