In-plane magnetic penetration depth of superconducting CaKFe$_4$As$_4$

Abstract

The temperature dependence of the in-plane magnetic penetration depth ($λ_{ab}$) in an extensively characterized sample of superconducting CaKFe$_4$As$_4$ ($T_{\rm c}\simeq35$ K) was investigated using muon-spin rotation ($μ$SR). A comparison of $λ_{ab}^{-2}(T)$ measured by $μ$SR with the one inferred from ARPES data confirms the presence of multiple gaps at the Fermi level. An agreement between $μ$SR and ARPES requires the presence of additional bands, which are not resolved by ARPES experiments. These bands are characterized by small supercondcting gaps with an average zero-temperature value of $Δ_{0} =$ 2.4(2) meV. Our data suggest that in CaKFe$_4$As$_4$ the $s^\pm$ order parameter symmetry acquires a more sophisticated form by allowing a sign change not only between electron and hole pockets, but also within pockets of similar type.