Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-09-08
J. Phys. Condens. Matter. 21, 375601 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, 3 figures; made some changes -- this is the published version
Scientific paper
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 the tunneling conductance (\sigma), between the two edges, is considered, and exact expressions are derived for the AC conductivity as a function of the frequency (\omega), the length of the line junction and other parameters of the system. We reproduce the results of Phys. Rev. B 78, 085430 (2008) in the DC limit (\omega \to 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.
Agarwal Amit
Sen Diptiman
No associations
LandOfFree
AC conductivity of a quantum Hall line junction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with AC conductivity of a quantum Hall line junction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AC conductivity of a quantum Hall line junction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-30556