Theoretical investigation of the superconducting pairing symmetry in a bilayer two-orbital model of pressurized La$_3$Ni$_2$O$_7$

TL;DR

This paper explores the possible superconducting pairing symmetries in pressurized La$_3$Ni$_2$O$_7$ using a bilayer two-orbital model, revealing a transition from triplet to singlet pairings influenced by spin fluctuations.

Contribution

It provides a theoretical analysis of how different bands and spin fluctuations influence the evolution of pairing symmetry in pressurized La$_3$Ni$_2$O$_7$, highlighting the competition between $d$-wave and $s_ ext{pm}$-wave states.

Findings

The $oldsymbol{eta}$ and $oldsymbol{ ext{delta}}$ bands suppress ferromagnetic fluctuations.

Superconducting pairing evolves from triplet to $d$-wave and then to $s_ ext{pm}$-wave.

The competition between pairing states depends on the suppression of ferromagnetic fluctuations.

Abstract

We investigate the superconducting pairing symmetry in pressurized La$_3$Ni$_2$O$_7$ based on a bilayer two-orbital model. There are two symmetric bands $\alpha$ and $\gamma$, as well as two antisymmetric ones $\beta$ and $\delta$. It is found that the $\gamma$ band induces considerable ferromagnetic spin fluctuation and prefers an odd-frequency, $s$-wave spin triplet pairing state. The addition of the other bands gradually suppresses the ferromagnetic spin fluctuation and enhances the antiferromagnetic ones. The superconducting pairing then evolves from a spin triplet into a $d$-wave spin singlet, and finally into an $s_\pm$-wave one. The competition between the $d$-wave and $s_\pm$-wave pairings relies on whether the ferromagnetic spin fluctuation is suppressed completely or not.