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

Das, Sourin and Rao, Sumathi and Sen, Diptiman (2009) Effect of inter-edge Coulomb interactions on transport through a point contact in nu=5/2 quantum Hall state. In: Europhysics Letters, 86 (3). 37010-1-37010-6.

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Official URL: http://www.iop.org/EJ/abstract/0295-5075/86/3/3701...

Abstract

We study transport across a point contact separating two line junctions in a nu = 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, we show that the stable fixed point corresponds to a point contact that 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) = 1/2e(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) = 5/2e(2)/h) and the fully disconnected case (G(H) = 0).

Item Type: Journal Article
Additional Information: Copyright for this article belongs to EDP sciences.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 09 Jul 2009 12:29
Last Modified: 19 Sep 2010 05:34
URI: http://eprints.iisc.ernet.in/id/eprint/20844

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