Tuning superconductivity and spin-vortex fluctuations in CaKFe$_4$As$_4$ through in-plane antisymmetric strains

TL;DR

This study explores how in-plane antisymmetric strains affect superconductivity and spin-vortex fluctuations in CaKFe$_4$As$_4$, revealing strain-induced modifications in magnetic order and superconducting transition temperature.

Contribution

It demonstrates the coupling between in-plane strains and spin-vortex fluctuations in CaKFe$_4$As$_4$, providing insights into tuning superconductivity via strain in iron-based superconductors.

Findings

Anisotropic in-plane strain response of $T_c$ observed

Strain influences the stability of spin-vortex and stripe orders

Pathway proposed for strain-controlled phase diagram

Abstract

Lattice strains of appropriate symmetry have served as an excellent tool to explore the interaction of superconductivity in the iron-based superconductors with nematic and stripe spin-density wave (SSDW) order, which are both closely tied to an orthorhombic distortion. In this work, we contribute to a broader understanding of the coupling of strain to superconductivity and competing normal-state orders by studying CaKFe$_4$As$_4$ under large, in-plane strains of $B_{1g}$ and $B_{2g}$ symmetry. In contrast to the majority of iron-based superconductors, pure CaKFe$_4$As$_4$ exhibits superconductivity with relatively high transition temperature of $T_c\,\sim\,$35 K in proximity of a non-collinear, tetragonal, hedgehog spin-vortex crystal (SVC) order. Through experiments, we demonstrate an anisotropic in-plane strain response of $T_c$, which is reminiscent of the behavior of other pnictides with nematicity. However, our calculations suggest that in CaKFe$_4$As$_4$, this anisotropic response correlates with the one of the SVC fluctuations, highlighting the close interrelation of magnetism and high-$T_c$ superconductivity. By suggesting moderate $B_{2g}$ strains as an effective parameter to change the stability of SVC and SSDW, we outline a pathway to a unified phase diagram of iron-based superconductivity.