Effect of the plasmon mechanism on s-wave superconductors under high pressure in the weak-coupling limit

Abstract

In this research, we investigated the critical temperature (TC), gap-to-TC ratio (2ΔTC) and isotope effect exponent (α) of s-wave superconductors under high-pressure envelopments, including the electron-phonon interaction and electron-Plasmon attractive interaction in the weak-coupling limit. The analytic formula of TC, 2ΔTC and α with non-pressure and under pressure cases were used. The numerical calculations showed that the under-pressure case had a greater critical temperature than the non-pressure case. The effect of pressure had a significant impact on the gap-to-TC ratio, and the isotope effect exponent exhibited a range between 0.30 and 0.75.