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We find evidence that the newly discovered Fe-based superconductorKCa$_2$Fe$_4$As$_4$F$_2$ ($T_c~=~33.36(7)$~K) displays multigapsuperconductivity with line nodes. Transverse field muon spin rotation($\mu$SR) measurements show that the temperature dependence of the superfluiddensity does not have the expected behavior of a fully-gapped superconductor,due to the lack of saturation at low temperatures. Moreover, the data cannot bewell fitted using either single band models or a multiband $s$-wave model, yetare well described by two-gap models with line nodes on either one or both ofthe gaps. Meanwhile the zero-field $\mu$SR results indicate a lack of timereversal symmetry breaking in the superconducting state, but suggest thepresence of magnetic fluctuations. These results demonstrate a different routefor realizing nodal superconductivity in iron-based superconductors. Here thegap structure is drastically altered upon replacing one of the spacer layers,indicating the need to understand how the pairing state is tuned by changes ofthe asymmetry between the pnictogens located either side of the Fe planes.

Nodal multigap superconductivity in KCa$_2$Fe$_4$As$_4$F$_2$