Conductance through a quantum dot in the fractional quantum Hall regime

We study a parabolic quantum dot in the fractional quantum Hall regime by solving the problem exactly for up to eight electrons at filling factors between 1 and 1/3. Many-body coherence in the fractional regime strongly suppresses the resonant conductance through the dot below the integer-regime values. In particular, we predict that at ν=1/3 all conductance peaks are lowered by a factor of 1/N, and that at ν=2/3 odd and even peaks are suppressed differently.