Fluctuation induced band splitting in ferromagnetic and nearly ferromagnetic metals

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Abstract
It is shown using the RPA expression for the self energy of the single particle Green function that there are two peaks in the resulting spectral density for electrons of either spin in nearly ferromagnetic metals and in ferromagnetic metals above their Curie temperature, due to short range magnetic order. It is further argued that these peaks lead to two well defined Fermi surfaces if kTc is much less than the band splitting energy. The peaks in the spectral density become identical with the peaks due to the Stoner spin split bands as the system orders magnetically.