“…Thus, we are not considering tunneling of states, which have a lower energy than the conduction-band edge of the ''barrier'' material, as in vertically coupled dots, but tunneling at energies that are lower energy than those of isolated WL states, but still lie well above the conduction-band edge. A third and crucial difference is that here we are not discussing the coupling of the ground state, but of the excited states, whose lateral extent is typically between 1.5 and 2 times that of the ground state, 20,30 and was recently calculated to be about 66% more extended in isolated InAs/ InP QDs grown on a ͑311͒B substrate. 31 We can also compare the wave-function penetration in the two cases.…”