Abstract
Even- and odd-frequency superconductivity coexist owing to broken time-reversal symmetry under magnetic field. In order to describe this mixing, we extend the linearized Eliashberg equation for the spin and charge fluctuation mechanism in strongly correlated electron systems. We apply this extended Eliashberg equation to the odd-frequency superconductivity on a quasi-one-dimensional isosceles triangular lattice under in-plane magnetic field. We find that the mixing effect enhances the critical fields by about 30% for the superconducting state with odd-frequency singlet p-wave pairing.

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