Topological superconductivity in two dimensions with mixed chirality

We find a mixed chirality d-wave superconducting state in the coexistence region between antiferromagnetism and interaction-driven superconductivity in lightly doped honeycomb materials. This state has a topological chiral d+id-wave symmetry in one Dirac valley but d-id-wave symmetry in the other valley and hosts two counterpropagating edge states, always protected in the absence of intervalley scattering. A first-order topological phase transition, with no bulk gap closing, separates the chiral d-wave state at small magnetic moments from the mixed chirality d-wave phase.