Ferromagnetic Spin Fluctuation and Unconventional Superconductivity in Rb$_{2}$Cr$_{3}$As$_{3}$ revealed by $^{75}$As NMR and NQR

TL;DR

This study uses $^{75}$As NMR and NQR to reveal ferromagnetic spin fluctuations and unconventional superconductivity with point nodes in Rb$_{2}$Cr$_{3}$As$_{3}$, a quasi-one-dimensional superconductor, showing no Hebel-Slichter peak and a $T^5$ gap behavior.

Contribution

It provides the first detailed NMR/NQR evidence of ferromagnetic fluctuations and unconventional pairing symmetry in Rb$_{2}$Cr$_{3}$As$_{3}$, highlighting its unique superconducting properties.

Findings

Spin-lattice relaxation rate increases below 100 K, indicating ferromagnetic fluctuations.

Superconducting state shows no Hebel-Slichter peak, suggesting unconventional pairing.

Relaxation rate follows a $T^5$ dependence below 3 K, consistent with point nodes in the gap.

Abstract

We report $^{75}$As nuclear magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) studies on the superconductor Rb$_{2}$Cr$_{3}$As$_{3}$ with a quasi one-dimensional crystal structure. Below $T\sim$ 100 K, the spin-lattice relaxation rate (1/$T_{1}$) divided by temperature, 1/$T_{1}T$, increases upon cooling down to $T_{\rm c}$ = 4.8 K, showing a Curie-Weiss-like temperature dependence. The Knight shift also increases with decreasing temperature. These results suggest ferromagnetic spin fluctuation. In the superconducting state, 1/$T_{1}$ decreases rapidly below $T_{\text{c}}$ without a Hebel-Slichter peak, and follows a $T^5$ variation below $T\sim$ 3 K, which point to unconventional superconductivity with point nodes in the gap function.