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Using constrained-path quantum Monte Carlo method, we systematically studythe Hubbard model on AA-stacked honeycomb lattices with electric field. Oursimulation demonstrates a dominant chiral d+id wave pairing induced by theelectric field at half filling. In particular, as the on-site Coulombinteraction increases, the effective pairing correlation of chiral d+idsuperconducting state exhibits increasing behavior. We attribute the electricfield induced d+id superconductivity to an increased density of states near theFermi energy and an suppressed antiferromagnetic spin correlation after turningon the electric field. Our results strongly suggest the AA-stacked graphenesystem with electric field is a good candidate for chiral d+id superconductors.

Electric field-induced chiral d+id superconducting state in AA-stacked bilayer graphene: A quantum Monte Carlo study