  We use chiral Luttinger liquid theory to study transport through a quantum
dot in the fractional quantum Hall effect regime and find rich non-Fermi-liquid
tunneling characteristics. In particular, we predict a remarkable
Coulomb-blockade-type energy gap that is quantized in units of the
noninteracting level spacing, new power-law tunneling exponents for voltages
beyond threshold, and a line shape as a function of gate voltage that is
dramatically different than that for a Fermi liquid. We propose experiments to
use these unique spectral properties as a new probe of the fractional quantum
Hall effect.
