Quantifying interaction mechanism in infinite layer nickelate superconductors

The relationship between the long-range antiferromagnetic order in cuprates and the high-temperature superconductivity in these compounds represents unresolved, nearly four-decades long scientific problem. Because recently discovered nickelate superconductors are crystallographical counterparts of cuprates, many properties and difficulties into describing these compounds are common to both families. Recently, Fowlie et al (2022 Nature Physics 18 1043) aimed to detect the antiferromagnetic order in $R_{1-x}Sr_{x}NiO_{2}$ (R = Nd, Pr, La, x ~ 0.2) films by using the muon spin rotation (muSR) technique. This research group reported on the existence of short-range antiferromagnetic order in all studied nickelates. Here, we aimed to reveal the existence of this interaction in the same nickelate films by analyzing the temperature dependent resistivity, $\rho(T)$, reported by the same research group. Global $\rho(T)$ data fits to the advanced Bloch-Gr\"uneisen model showed that each of R1-xSrxNiO2 compounds can be characterized by a unique power-law exponent, p (where p=2 for the electron-electron scattering, p=3 for the electron-magnon scattering, and p=5 for the electron-phonon scattering), and global characteristic temperature, $T_{\omega}$ (which has the meaning of the Debye temperature at p=5). We found that p=2.0 in Nd- and Pr-based compounds, and p=1.3 for La-based compound. The latter value does not have any interpretation within established theoretical models. We also analyzed $\rho(T)$ data for $Nd_{1-x}Sr_{x}NiO_{2}$ (0.125 < x < 0.325) reported by Lee et al (2022 arXiv2203.02580). Because our analysis showed that p-values in nickelates are remarkably different from p=3, we call for the developent of a new theoretical model to describe $\rho(T)$ in materials exhibiting a short-range antiferromagnetic order.