Scalability of non-adiabatic effects in lithium-decorated graphene superconductor

The analysis is conducted to unveil how the non-adiabatic effects scale within the superconducting phase of lithium-decorated graphene (LiC$_{6}$). Based on the Eliashberg formalism it is shown that the non-adiabatic effects notably reduce essential superconducting parameters in LiC$_{6}$ and arise as a significant oppressor of the discussed phase. Moreover, nonadiabaticity is found to scale with the strength of superconductivity, proportionally to the phonon energy scale and inversely with respect to the electron-phonon coupling. These findings are partially in contrast to other theoretical studies and show that superconductivity in LiC$_{6}$ is more peculiar than previously anticipated. In this context, the guidelines for enhancing superconducting phase in LiC$_{6}$ and sibling materials are also proposed.