Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field

TL;DR

This paper extends the Eliashberg equation to describe the coexistence and mixing of odd- and even-frequency superconductivity in strongly correlated electron systems under magnetic fields, revealing the influence of even-frequency components.

Contribution

The authors develop an extended Eliashberg framework to analyze the mixing of odd- and even-frequency pairings in correlated systems with broken time-reversal symmetry.

Findings

Odd- and even-frequency pairings coexist under magnetic fields.

The mixing affects the superconducting properties and stability.

Application to a quasi-one-dimensional lattice demonstrates the theory's relevance.

Abstract

Even- and odd-frequency superconductivity coexist due 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 and examine the effect of the even-frequency component.