About the thermodynamics of the phonon-induced spin density waves

In the paper, the s-wave pseudogap, which originates from phonon-induced spin density wave (SDW) is considered. The exact numerical solutions of the SDW Eliashberg equations are presented. In the self-consistent way, the SDW transition temperature is calculated. The SDW order functions and the wave function renormalization factors as a function of the Matsubara frequency for different values of the temperature are plotted. It is also shown that the ratio of the zero-temperature SDW gap to the SDW critical temperature differs a little from the standard weak-coupling value.