Plateau Behavior in the Chiral Luttinger Liquid Exponent

The current-voltage power law exponent, α, for electron tunneling into chiral Luttinger liquids at the fractional quantum Hall edge is found to exhibit a plateaulike structure at α close to 3 as the filling factor, ν, is varied. The presence of a plateau near α0ex0ex=0ex0ex3 strongly suggests a fundamental connection between α and the structure of the underlying quantum ground states associated with the robust incompressible ν0ex0ex=0ex0ex1/3 Hall fluid. However, the position in the inverse filling factor where the plateau occurs can vary between samples and appears shifted to values higher than expected from theory.