Coulomb and Spin-Orbit Interaction Effects in a Mesoscopic Ring

We study a ring structure on a two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit interaction in an external magnetic field. The competition between the two kinds of SOI leads to a deformation of the charge and spin densities around the ring. After examining the one-electron eigenstates we investigate Coulomb effects. We use two different ring models: a continuous model with analytical single particle states (Tan-Inkson) and a discrete model (tight-binding) which is more convenient for many-body calculations. We show that for more than two electrons the deformation of the charge density is smeared out by the Coulomb interaction, whilst the deformation of the spin density is amplified.Rannsóknasjóðu