Spin dependent tunneling through a quantum dot attached to ferromagnetic electrodes with non-collinear magnetizations

Resonant tunneling through an interacting single-level quantum dot, coupled to ferromagnetic electrodes with non-collinear magnetizations has been analyzed theoretically. The dot is additionally subject to an external magnetic field. The non-equilibrium Green function technique and the equation of motion method have been applied to calculate electric current, tunnel magnetoresistance, and the average spin components in the dot. The relevant Green functions have been calculated in the Hartree-Fock approximation, and the calculations are restricted to the weak coupling regime. Numerical results are presented for a dot which is empty at equilibrium, but can be singly or doubly occupied when a bias voltage is applied