Hole-$s_{\pm}$ State Induced by Coexisting Ferro- and Aniferromagnetic and Aniferro-orbital Fluctuations in the Iron Pnictides

TL;DR

This paper investigates electron correlation effects and superconductivity in iron-based superconductors using a multi-orbital Hubbard model and dynamical mean field theory, revealing the role of orbital-dependent fluctuations in inducing hole-$s_{ ext{±}}$-wave pairing.

Contribution

It demonstrates how coexisting ferro- and antiferromagnetic and orbital fluctuations lead to hole-$s_{ ext{±}}$-wave superconductivity in iron pnictides, highlighting the importance of orbital-dependent vertex renormalization.

Findings

Vertex function shows strong orbital-dependent renormalization.

Enhanced ferromagnetic fluctuation due to $q ext{~}0$ nesting.

Realization of hole-$s_{ ext{±}}$-wave pairing driven by combined fluctuations.

Abstract

The multi-orbital Hubbard model is investigated in order to clarify the electron correlation effects and the superconductivity in the iron-based superconductor. The renormalization effects on the self-energy and the two-particle irreducible vertex function are calculated on the basis of the dynamical mean field theory. We find that the vertex function exhibits a strong renormalization with the significant orbital dependence as compared with the renormalization factor, when the antiferromagnetic and the antiferro-orbital fluctuations are comparably enhanced due to the electron and the hole Fermi surfaces nesting effects. The orbital-dependent vertex function together with the $q\sim0$ nesting between the two-hole Fermi surfaces results in the inter-orbital ferromagnetic fluctuation gradually enhanced which is expected to be observed in LiFeAs. We show that the hole-$s_{\pm}$-wave superconductivity with the sign change of the two-hole Fermi surfaces is realized by the enhanced ferromagnetic fluctuation accompanied by the antiferromagnetic fluctuation and the antiferro-orbital fluctuation.