Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract

Manolescu, Andrei

Coulomb and spin-orbit interactions in nanorings

Combined effects of the Coulomb electron-electron interaction and the spin orbit coupling in one- and two-dimensional nanorings will be shown. The Coulomb interaction is treated in a complete many-body manner with the so-called “exact diagonalization” method. The spin-orbit coupling is described by the Rashba and/or Dresselhaus models. The local spin and charge densities will be observed both in the ground state and in the excited states. The influence of an external magnetic field and/or of an external potential will also be discussed.