Effect of interedge Coulomb interactions on the transport between quantum Hall edge states

In a recent experiment, Milliken 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 crossover behavior from Luttinger liquid to the Coulomb interaction dominated regime. The crossover behavior thus obtained seems to resolve one of the discrepancies, yielding good agreement with experiment.