Quantum Transport in Two-Channel Fractional Quantum Hall Edges

Abstract

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.

21 pages (REVTeX and 1 Postscript figure)

References in corpus (6)

• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Resonant Tunneling Between Quantum Hall Edge States
• The Structure of Fractional Edge States: A Composite Fermion Approach
• Inter-Edge interaction in the Quantum Hall Effect
• Edge and Bulk of the Fractional Quantum Hall Liquids

Cited by in corpus (10)

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• Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
• Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges
• Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-Abelions
• Theory of suppressed shot-noise at $\nu =2/(2p+\chi )$
• Tunneling into fractional quantum Hall liquids
• Strong quasi-particle tunneling study in the paired quantum Hall states
• Anomalous tunneling conductances of a spin singlet ν=2/3 edge states: Interplay of Zeeman splitting and Long Range Coulomb Interaction
• The edge state network model and the global phase diagram