Intrinsic dissipative Floquet superconductors beyond mean-field theory

TL;DR

This paper investigates a dissipative Floquet electronic system with attractive interactions, revealing a novel intrinsic superconducting phase characterized by time-periodic bosonic condensation and a soft Floquet SC gap influenced by dissipation and periodic modulation.

Contribution

It introduces a beyond mean-field theoretical framework to describe intrinsic dissipative Floquet superconductivity with time-periodic bosonic condensation.

Findings

Discovery of a dissipative Floquet SC phase with time-periodic bosonic condensation.

Identification of a soft Floquet SC gap containing diffusive fermionic modes.

Propagation of bosonic modes persists despite dissipation.

Abstract

We study the intrinsic superconductivity in a dissipative Floquet electronic system in the presence of attractive interactions. Based on the functional Keldysh theory beyond the mean-field treatment, we find that the system shows a time-periodic bosonic condensation and reaches an intrinsic dissipative Floquet superconducting (SC) phase. Due to the interplay between dissipations and periodic modulations, the Floquet SC gap becomes "soft" and contains the diffusive fermionic modes with finite lifetimes. However, bosonic modes of the bosonic condensation are still propagating even in the presence of dissipations.