▎ 摘　　要

In the present study, we investigate the impact of the non-adiabatic effects on the superconducting state in the electron-doped graphene. In particular, by using the Eliashberg formalism we analyze the case scenario of the nitrogen-doped graphene, showing that the non-adiabatic effects complement electron-electron interaction and notably reduce (up to similar to 40%) pivotal thermodynamic properties, such as: the critical temperature, the superconducting gap and their characteristic ratio. Interestingly, the influence of the non-adiabatic effects is found to rise together with the increase of the depairing Coulomb interaction. These observations are elucidated based on the structure of the vertex corrections to the electron-phonon interaction. As a result, we draw a direction for the future research in the field of the two-dimensional non-adiabatic superconductivity. Copyright (C) 2021 EPLA