Elastoresistance measurements on CaKFe$_4$As$_4$ and KCa$_2$Fe$_4$As$_4$F$_2$ with the Fe site of $C_{2v}$ symmetry

We report resistance and elastoresistance measurements on (Ba $_{0.5}$ K $_{0.5}$ )Fe $_{2}$ As $_{2}$ , CaKFe $_{4}$ As $_{4}$ , and KCa $_{2}$ Fe $_{4}$ As $_{4}$ F $_{2}$ . The Fe-site symmetry is $D_{2 d}$ in the first compound but $C_{2 v}$ in the latter two, which lifts the degeneracy of the Fe $d_{x z}$ and $d_{y z}$ orbitals. The temperature dependence of the resistance and elastoresistance is similar between the three compounds. Especially, the [110] elastoresistance is enhanced with decreasing temperature irrespective of the Fe-site symmetry. This appears to be in conflict with recent Raman scattering studies on CaKFe $_{4}$ As $_{4}$ , which suggest the absence of nematic fluctuations. We consider possible ways of reconciliation and suggest that the present result is important in elucidating the origin of in-plane resistivity anisotropy in iron-based superconductors.

Elastoresistance measurements on CaKFe $_{4}$ As $_{4}$ and KCa $_{2}$ Fe $_{4}$ As $_{4}$ F $_{2}$ with the Fe site of $C_{2 v}$ symmetry

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Elastoresistance measurements on CaKFe $_{4}$ As $_{4}$ and KCa $_{2}$ Fe $_{4}$ As $_{4}$ F $_{2}$ with the Fe site of $C_{2 v}$ symmetry

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Elastoresistance measurements on CaKFe44​As44​ and KCa22​Fe44​As44​F22​ with the Fe site of C2vC2v​ symmetry

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Elastoresistance measurements on CaKFe44​As44​ and KCa22​Fe44​As44​F22​ with the Fe site of C2vC2v​ symmetry

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Elastoresistance measurements on CaKFe $_{4}$ As $_{4}$ and KCa $_{2}$ Fe $_{4}$ As $_{4}$ F $_{2}$ with the Fe site of $C_{2 v}$ symmetry

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Elastoresistance measurements on CaKFe $_{4}$ As $_{4}$ and KCa $_{2}$ Fe $_{4}$ As $_{4}$ F $_{2}$ with the Fe site of $C_{2 v}$ symmetry

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