Metal hydrogen sulfide superconducting temperature
  \'Eliashberg theory generalized to the case of the electron-phonon (EP) systems with the not constant density of electronic states, as well as to the case of the frequency dependent renormalization of both the electron mass and the chemical potential, is used to study hydrogen sulphide phase under pressure. The frequency and the temperature dependences of the electron mass renormalization ReZ , the density of electronic states , renormalized by the EP interaction , the spectral function of the electron-phonon interaction, obtained by calculation are used to calculate the electronic abnormal GF. The generalized \'Eliashberg equations with the variable density of electronic states are resolved for the hydrogen sulphide phase under pressure. The dependence of both the real and the imaginary part of the order parameter on the frequency in the phase is obtained. The results of the solution of the Eliashberg equations for the Im-3m (170 GPa), Im-3m (200 GPa), Im-3m (225 GPa) and R3m (120 GPa) hydrogen sulphide phases are presented. The value in the hydrogen sulfide phase at the pressure P = 225 GPa has been defined. The value for the hydrogen sulfide phase at the pressure P = 170 GPa has been predicted. 
Nikolay Kudryashov, Alexander Kutukov and Evgeny Mazur
cond-mat.supr-con