Hidden anomalous Hall effect in Sr2RuO4 with chiral superconductivity dominated by the Ru dxy orbital

The polar Kerr effect in superconducting Sr2RuO4 implies finite ac anomalous Hall conductivity. Since intrinsic anomalous Hall effect (AHE) is not expected for a chiral superconducting pairing developed on the single Ru dxy orbital, multiorbital chiral pairing actively involving the Ru dxz and dyz orbitals has been proposed as a potential mechanism. Here we propose that AHE could still arise even if the chiral superconductivity is predominantly driven by the dxy orbital. This is demonstrated through two separate models which take into account subdominant orbitals in the Cooper pairing, one involving the oxygen px and py orbitals in the RuO2 plane, and another the dxz and dyz orbitals. In both models, finite orbital mixing between the dominant dxy and the other orbitals may induce interorbital pairing between them, and the resultant states support intrinsic AHE, with Kerr rotation angles that could potentially reconcile with the experimental observation. Our proposal therefore sheds new light on the microscopic pairing in Sr2RuO4. We also show that intrinsic Hall effect is generally absent for nonchiral states such as S+iD, D+iP, and D+iG, which provides a clear constraint on the symmetry of the superconducting order in this material.