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The multipocket Fermi surfaces of iron-based superconductors promote pairingstates with both s_{+-}-wave and d_{x^2-y^2}-wave symmetry. We argue that thecompetition between these two order parameters could lead to atime-reversal-symmetry breaking state with s+id-pairing symmetry in theiron-based superconductors, and propose serveral scenarios in which this phasemay be found. To understand the emergence of such a pairing state on a morerigorous footing, we start from a microscopic 5-orbital descriptionrepresentative for the pnictides. Using a combined approach of functionalrenormalization group and mean-field analysis, we identify the microscopicparameters of the s+id-pairing state. There, we find the most promising regionfor s+id-pairing in the electron doped regime with an enhanced pnictogenheight.

Mechanism for a Pairing State with Time-Reversal Symmetry Breaking in Iron-Based Superconductors