  Coupled semiconductor quantum dots form artificial molecules where relevant
energy scales controlling the interacting ground state can be easily tuned. By
applying an external magnetic field it is possible to drive the system from a
weak to a strong correlation regime where eventually electrons localize in
space in an ordered manner reminiscent of the two-dimensional Wigner crystal.
We explore the phase diagram of such "Wigner molecules" analyzing the angular
correlation function obtained by the Configuration Interaction solution of the
full interacting Hamiltonian. Focus is on the role of tunneling in stabilizing
different ground states.
