  For the last decade, tunable quantum dot systems have allowed the
investigation of Kondo physics wherein the quenching of a single spin on an
artificial atom affects the conductance. The pseudogap Kondo model featuring a
density of states $\rho(\epsilon)$ = C$|\epsilon|^{r}$, introduced by Withoff
and Fradkin in 1990 was predicted to exhibit Kondo-like physics above a
critical value of the Kondo coupling, J$_c$, which several groups have shown by
numerical renormalization group (RG) is finite for r$< {1/2}$. Gonzalez-Buxton
{\it{et al}} showed that the strong coupling limit of the particle-hole
symmetric model leads to a non-trivial $\frac{\pi (1-r)}{2}$ phase shift at low
temperatures indicating incomplete screening of the local moment, while away
from particle-hole symmetry one generically flows towards a ground state with
$\delta \sim \pi$. We examine the implications of this model for quantum dots
whose leads are Fermi-liquid-like, yet possess a tunneling density of states
which is suppressed at the Fermi energy as a power law.
