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Tunneling conductance through two quantum dots, which are connected in seriesto left and right leads, is calculated by using the numerical renormalizationgroup method. As the hopping between the dots increases from very small value,the following states continuously appear; (i) Kondo singlet state of each dotwith its adjacent-site lead, (ii) singlet state between the local spins on thedots, and (iii) double occupancy in the bonding orbital of the two dots. Theconductance shows peaks at the transition regions between these states.Especially, the peak at the boundary between (i) and (ii) has the unitaritylimit value of $2e^{2}/h$ because of coherent connection through thelead-dot-dot-lead. For the strongly correlated cases, the characteristic energyscale of the coherent peak shows anomalous decrease relating to the quantumcritical transition known for the two-impurity Kondo effect. The two dotssystems give the new realization of the two-impurity Kondo problem.Comment: 9 pages, 10 figure

Two-impurity Kondo effect in double-quantum-dot systems: Effect of interdot kinetic exchange coupling