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Using functional renormalization group method, we study the favorablecondition for electronic correlation driven time reversal invariant topologicalsuperconductivity in symmetry class DIII. For non-centrosymmetric systems weargue that the proximity to ferromagnetic (or small wavevector magnetic)instability can be used as a guideline for the search of this type ofsuperconductivity. This is analogous to the appearance of singletunconventional superconductivity in the neighborhood of antiferromagneticinstability. We show three concrete examples where ferromagnetic-likefluctuation leads to topological pairing.

Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems