Interplay between nematic fluctuation and superconductivity in the two-orbital Hubbard model: A quantum Monte Carlo study

TL;DR

This study uses quantum Monte Carlo simulations on a two-orbital Hubbard model to explore how nematic fluctuations influence superconductivity, revealing a competitive relationship where nematic fluctuations suppress pairing correlations.

Contribution

It provides the first systematic numerical analysis of nematic fluctuation effects on superconductivity in a realistic two-orbital Hubbard model.

Findings

Nematic interactions enhance nematic fluctuations at various momenta.

Nematic interactions suppress antiferromagnetic order and pairing correlations.

Nematic fluctuations appear to compete with superconductivity.

Abstract

To understand the interplay between nematic fluctuation and superconductivity in iron-based superconductors, we performed a systematic study of the realistic two-orbital Hubbard model by using the constrained-path quantum Monte Carlo method. Our numerical results showed that the on-site nematic interaction induces a strong enhancement of nematic fluctuations at various momentums, especially at ($\pi$,$\pi$). Simultaneously, it was found that the on-site nematic interaction suppresses the ($\pi$,0)/(0,$\pi$) antiferromagnetic order and long-range electron pairing correlations for dominant pairing channels in iron-based superconductors. Our findings suggest that nematic fluctuation seems to compete with superconductivity in iron-based superconductors.