Wigner localization and dynamics in two-electron semiconductor rings

We present a theoretical analysis of the electronic structure and the linea r-response dynamics for two-dimensional rings in a perpendicular magnetic f ield containing two electrons. The exact lower eigenstates are found by num erically solving the Schrodinger equation and are used to build the pertuba tive dipole response. We show the equivalence of this technique with the in tegration in real time used in a previous work. Comparison with the predict ions of local spin density approximation theory is also done. In narrow rin gs the solution is shown to correspond to a rigid rotor and thus to a local ized structure in the intrinsic frame, i.e., a rotating Wigner molecule. (C ) 2002 John Wiley & Sons, Inc.