Superconductivity in Twisted Bilayer Graphene: Cooper-pairs distribution function analysis

Abstract

Abstract Cooper-pair distribution function Dcp(ω, Tc) for Twisted Bilayer Graphene (TBLG) in the presence of an external electric field is presented. The TBLG structure is proposed in the geometric approximation frame that allows mimicking structures with layers rotated in tiny angles, avoiding supercell calculations. The results show that the proposed geometric method manages to reproduce TBLG theoretical calculations reported in the literature in a good approximation. Dcp(ω, Tc) for TBLG suggests that Cooper-pairs are possible in the low-frequency vibration region. The calculations appear to be consistent with the existence of the superconducting state in TBLG, and it allows us to suggest the effect of the electric field for specific angles of rotation of TBLG.