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The effect of inter-edge Coulomb interactions on the transport between quantum Hall edge states

K. Moon·S. M. Girvin
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Abstract

In a recent experiment, Milliken {\em et al.} demonstrated possible evidence for a Luttinger liquid through measurements of the tunneling conductance between edge states in the $ν=1/3$ quantum Hall plateau. However, at low temperatures, a discrepancy exists between the theoretical predictions based on Luttinger liquid theory and experiment. We consider the possibility that this is due to long-range Coulomb interactions which become dominant at low temperatures. Using renormalization group methods, we calculate the cross-over behaviour from Luttinger liquid to the Coulomb interaction dominated regime. The cross-over behaviour thus obtained seems to resolve one of the discrepancies, yielding good agreement with experiment.

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K. Moon, S. M. Girvin. 1995-11-02. The effect of inter-edge Coulomb interactions on the transport between quantum Hall edge states. https://doi.org/10.1103/physrevb.54.4448

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