  We investigate the transport properties of a (small) quantum dot connected to
Fermi liquid leads with a power-law density of states (DOS). Such a system, if
experimentally realizable, will have interesting physical properties including:
(i) non-saturating Coulomb blockade peak widths; (ii) a non-unitary Kondo peak
symmetrically placed between the Coulomb blockade peaks; (iii) an absence of
conductance away from particle-hole symmetry at sufficiently low temperatures;
and (iv) evidence of a quantum critical point as a function of dot-lead
hopping. These properties are compared and contrasted with one dimensional
Luttinger systems exhibiting a power-law "tunneling-DOS".
