K. Moon et Sm. Girvin, EFFECT OF INTEREDGE COULOMB INTERACTIONS ON THE TRANSPORT BETWEEN QUANTUM HALL EDGE STATES, Physical review. B, Condensed matter, 54(7), 1996, pp. 4448-4451
In a recent experiment, Milliken et al. demonstrated possible evidence
for a Luttinger liquid through measurements of the tunneling conducta
nce between edge states in the nu = 1/3 quantum Hall plateau. However,
at low temperatures; a discrepancy exists between the theoretical pre
dictions based on Luttinger liquid theory and experiment. We consider
the possibility that this is due to long-range Coulomb interactions, w
hich 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 agre
ement with experiment.