We study two quantum dots in the limit of strong dot-lead coupling and weak
dot-dot tunneling. The model maps on Ising-coupled Kondo impurities. We ar
gue that a new quantum critical fixed point exists at an intermediate value
of the mutual capacitance, supporting non-Fermi-liquid behavior. We constr
uct the total conductance across the double dot structure. It exhibits a st
rongly peaked behavior as a function of the mutual capacitance, gate voltag
e, and temperature. [S0163-1829(99)50632-2].