We have performed numerical simulations of coupled, open quantum dots, connected by contacts supporting a number of modes. In single dots, the resonant wave functions can be scarred by classical periodic orbits. Coupling between dots allows for the two-dimensional analog of molecular states. With these molecular states, we find that the wave functions can be scarred by orbits that are clearly shared between dots. In a finite chain of dots, we find that the formation of energy bands and gaps can be a by-product of complicated scarred states involving orbits that can extend over many dots. These orbits appear to be variations of those that contribute to the atomic and molecular states.

• Received 12 August 1998

DOI:https://doi.org/10.1103/PhysRevB.59.7529