  The non-Fermi-liquid properties of an ultrasmall quantum dot coupled to a
lead and to a quantum box are investigated. Tuning the ratio of the tunneling
amplitudes to the lead and box, we find a line of two-channel Kondo fixed
points for arbitrary Coulomb repulsion on the dot, governing the transition
between two distinct Fermi-liquid regimes. The Fermi liquids are characterized
by different values of the conductance. For an asymmetric dot, spin and charge
degrees of freedom are entangled: a continuous transition from a spin to a
charge two-channel Kondo effect evolves. The crossover temperature to the
two-channel Kondo effect is greatly enhanced away from the local-moment regime,
making this exotic effect accessible in realistic quantum-dot devices.
