@article{ISI:000269198900020, abstract = {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.}, article-number = {375601}, author = {Agarwal, Amit and Sen, Diptiman}, doi = {10.1088/0953-8984/21/37/375601}, issn = {0953-8984}, journal = {JOURNAL OF PHYSICS-CONDENSED MATTER}, month = {SEP 16}, number = {37}, orcid-numbers = {Agarwal, Amit/0000-0001-6399-7264}, researcherid-numbers = {Agarwal, Amit/G-8580-2011 }, times-cited = {2}, title = {AC conductivity of a quantum Hall line junction}, unique-id = {ISI:000269198900020}, volume = {21}, year = {2009} }