Coexistence of Even- and Odd-Frequency Superconductivities Under Broken Time-Reversal Symmetry

TL;DR

This paper demonstrates that in conventional phonon-mediated superconductors with broken time-reversal symmetry, even- and odd-frequency superconducting components coexist, highlighting the significance of odd-frequency pairing in physical properties.

Contribution

It reveals the coexistence of even- and odd-frequency superconductivity in bulk systems under broken time-reversal symmetry using self-consistent Eliashberg calculations.

Findings

Coexistence of even- and odd-frequency components in superconductors.

Broken time-reversal symmetry induces mixed pairing states.

Odd-frequency pairing influences physical quantities in strong coupling superconductors.

Abstract

A novel superconducting state under the broken time-reversal symmetry is studied in conventional phonon-mediated superconductors. By solving the Eliashberg equation self-consistently with the mass renormalization effect, it is found that the even- and odd-frequency components of the order parameter coexist in the bulk system as a consequence of the broken time-reversal symmetry. This finding would direct more attention to the odd-frequency pairing that affects physical quantities, especially in strong coupling superconductors.