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AC conductivity of a quantum Hall line junction

Agarwal, Amit and Sen, Diptiman (2009) AC conductivity of a quantum Hall line junction. In: Journal of Physics: Condensed Matter, 21 (37). 375601-1-375601-9.

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Official URL: http://www.iop.org/EJ/abstract/0953-8984/21/37/375...


We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter-or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of density-density interactions and a local tunneling conductance (sigma) between the two edges is considered. Assuming that sigma is independent of the frequency omega, we derive expressions for the AC conductivity as a function of omega, the length of the line junction and other parameters of the system. We reproduce the results of Sen and Agarwal (2008 Phys. Rev. B 78 085430) in the DC limit (omega -> 0), and generalize those results for an interacting system. As a function of omega, the AC conductivity shows significant oscillations if sigma is small; the oscillations become less prominent as sigma increases. A renormalization group analysis shows that the system may be in a metallic or an insulating phase depending on the strength of the interactions. We discuss the experimental implications of this for the behavior of the AC conductivity at low temperatures.

Item Type: Journal Article
Publication: Journal of Physics: Condensed Matter
Publisher: Institute of Physics
Additional Information: Copyright of this article belongs to Institute of Physics.
Keywords: States;wire;scattering;systems.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 15 Sep 2009 11:32
Last Modified: 19 Sep 2010 05:45
URI: http://eprints.iisc.ac.in/id/eprint/23260

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