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

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

1995-11-02

arxiv.org/abs/cond-mat/9511013v1

Physics

Condensed Matter

4 pages, RevTex, 2 postscript figures, tex file and figures have been uuencoded

Scientific paper

10.1103/PhysRevB.54.4448

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 $\nu=1/3$ 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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