Relation between barrier conductance and Coulomb blockade peak splitting for tunnel-coupled quantum dots

We study the relation between the barrier conductance and the Coulomb blockade peak splitting for two electrostatically equivalent dots connected by tunneling channels with bandwidths much larger than the dot charging energies. We find that this problem is equivalent to a well-known single-dot problem and present solutions for the relation between peak splitting and barrier conductance in both the weak- and strong-coupling limits. Results are in good qualitative agreement with the experimental findings of Waugh et al.