Temperature effects on the calculation of the functional derivative of Tc with respect to α2F(ω)

Abstract

The functional derivative of the superconducting transition temperature Tc with respect to the electron-phonon coupling function α 2 F ( ω ) , δ T c 2 / δ α 2 F ( ω ) permits identifying the frequency regions where phonons are most effective in raising Tc. This work presents an analysis of temperature effects on the calculation of the δTc/δα2F(ω) and μ* parameters. The results may permit establishing that the variation of the temperature in the δTc/δα2F(ω) and μ* parameter allows establishing patterns and conditions that are possibly related to the physical conditions in the superconducting state, with implications on the theoretical estimation of the Tc.