Effect of electron interactions on the conductivity and exchange coupling energy of disordered metallic magnetic multilayer

We consider the effect of electron-electron interactions on the current-in-plane (CIP) conductivity and exchange coupling energy of a disordered metallic magnetic multilayer. We analyze its dependence on the value of ferromagnetic splitting of conducting electrons and on ferromagnetic-layers relative magnetizations orientation. We show that the contribution to the CIP conductivity and exchange coupling energy as a periodic function of the angle of magnetizations relative orientation experience 2π→π transition depending on the characteristic energies, i.e. ferromagnetic splitting of the conducting electrons and the Thouless energy of paramagnetic layer.