The persistence of eigenstates in open quantum dots

We show that transport in open quantum dots can be mediated by single eigenstates, even when the dot leads support several propagating modes. The broadening of these few robust states, whose wave functions are generally localized within the interior of the dot, is found to be virtually independent of the lead width. Our results therefore indicate that a proper discussion of the specific nature of the individual eigenstates of the closed system is critical to determining their influence on transport through open dots.