Spin-wave-induced corrections to the electronic density of states in metallic ferromagnets

We calculate the correction to the electronic density of states in a disordered ferromagnetic metal induced by spin-wave mediated interaction between the electrons. Our calculation is valid for the case that the exchange splitting Δ in the ferromagnet is much smaller than the Fermi energy, but we make no assumption on the relative magnitude of Δ and the elastic electronic scattering time τel. In the 'clean limit' Δτel/hbar Gt 1 we find a correction with a Td/2 temperature dependence, where d is the effective dimensionality of the ferromagnet. In the 'dirty limit' Δτel/hbar Lt 1, the density-of-states correction is a non-monotonous function of energy and temperature