Superconducting Energy Gap in Hole-Doped Graphene Beyond the Migdal's Theory
A.Z. Kaczmareka, E.A. Drzazga-Szczęśniakb
aDepartment of Theoretical Physics, Faculty of Science and Technology, Jan Długosz University in Częstochowa, 13/15 Armii Krajowej Ave., 42200 Częstochowa, Poland
bDepartment of Physics, Faculty of Production Engineering and Materials Technology, Częstochowa University of Technology, 19 Armii Krajowej Ave., 42200 Częstochowa, Poland
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In this work, we analyze the impact of non-adiabatic effects on the superconducting energy gap in hole-doped graphene. By using the Eliashberg formalism beyond Migdal's theorem, we present that non-adiabatic effects strongly influence the superconducting energy gap in the exemplary boron-doped graphene. In particular, non-adiabatic effects, as represented by the first-order vertex corrections to the electron-phonon interaction, supplement the Coulomb depairing correlations and suppress the superconducting state. In summary, the obtained results confirm previous studies on superconductivity in two-dimensional materials and show that the corresponding superconducting phase may be notably affected by non-adiabatic effects.

DOI:10.12693/APhysPolA.143.153
topics: superconducting, hole-doped graphene, Eliashberg formalism