Two-electron states in symmetric and asymmetric double quantum dots in a magnetic field

We studied, theoretically, the two-electron energy levels for double quantum dots, both symmetric and asymmetric, in the presence of a homogeneous magnetic field. Within the effective-mass approach, we expanded the two-electron wave function, in an orthogonal basis formed by the products of each electron wave function in growth direction z, and one-particle solutions of the magnetic Hamiltonian in the x-y plane. We applied our method to the case of Al_xGa_1-xAs, for which we showed how the wave functions vary, and how the basis functions are mixed in a nontrivial way by the effect of the Coulomb potential.