Contribution of electron–magnon scattering to the spin-dependent Seebeck effect in a ferromagnet

We solve the Boltzmann’s transport equations for conduction electrons in a ferromagnet considering electron–magnon scattering. Such scattering gives rise to a spin dependent Seebeck coefficient, which in turn implies that the spin current can be generated by applying a temperature gradient. We estimate the temperature gradient required for switching a nano-magnet by using spin-transfer torque.