Effect of inter-edge Coulomb interactions on transport through a point contact in a ν= 5/2 quantum Hall state

Abstract

We study transport across a point contact separating two line junctions in a ν= 5/2 quantum Hall system. We analyze the effect of inter-edge Coulomb interactions between the chiral bosonic edge modes of the half-filled Landau level (assuming a Pfaffian wave function for the half-filled state) and of the two fully filled Landau levels. In the presence of inter-edge Coulomb interactions between all the six edges participating in the line junction, the stable fixed point corresponds to a point contact which is neither fully opaque nor fully transparent. Remarkably, this fixed point represents a situation where the half-filled level is fully transmitting, while the two filled levels are completely backscattered; hence the fixed point Hall conductance is given by G_H = {1/2} e^2/h. We predict the non-universal temperature power laws by which the system approaches the stable fixed point from the two unstable fixed points corresponding to the fully connected case (G_H = {5/2} e^2/h) and the fully disconnected case (G_H = 0).

6 pages, 3 figures; made several changes -- this is the published version

References in corpus (3)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state

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• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
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• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction