Cooper-pairs distribution function of Untwisted-Misaligned Bilayer Graphene

Cooper-pair distribution function Dcp(ω,Tc) of Untwisted-Misaligned Bilayer Graphene (UMBLG) in the presence of an external electric field is calculated and analyzed for the first time, within the framework of first-principle calculations. A bilayer graphene structure is proposed using a structural geometric approximation, enabling the simulation of a structure rotated at a small angle, avoiding a supercell calculation. Dcp(ω,Tc) function of UMBLG indicates the presence of the superconducting state for specific structural configurations, which is consistency with superconductivity in Twisted Bilayer Graphene (TBLG) reported in the literature. Dcp(ω,Tc) function of UMBLG suggests that Cooper-pairs are possible in the low-frequency vibration region. Furthermore, the structural geometric approximation allowed evaluating the effect of the electric field on superconducting state of UMBLG and its superconducting critical temperature through Ncp parameter.