Superconducting properties of bi-layer graphene in chiral model

Within the scope of the graphene chiral model we suggest a description of superconducting properties of the bi-layer graphene with some twisting angle a between the layers. The interaction with an external magnetic field is included through the gauge invariance principle, the field being oriented along the graphene plane. The expression for the optimal twisting angle generating superconductivity is obtained, the latter being equivalent to the vanishing magnetic field between the graphene layers (the Meissner effect). © Published under licence by IOP Publishing Ltd.