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The superconducting pairing state of LaPt$_{4}$Ge$_{12}$ is studied bymeasuring the magnetic penetration depth $\lambda(T,B)$ and the superfluiddensity $\rho_s(T)$ using a tunnel-diode-oscillator (TDO)-based method and bytransverse field muon-spin rotation ($\mu$SR) spectroscopy. $\lambda(T)$follows an exponential-type temperature dependence at $T\ll T_{c}$, but itszero-temperature value $\lambda(0)$ increases linearly with magnetic field.Detailed analyses demonstrate that both $\lambda(T)$ and the corresponding$\rho_{s}(T)$, measured in the Meissner state by the TDO method are welldescribed by a two-gap $\gamma$ model with gap sizes of$\Delta_1(0)=1.31k_{B}T_c$ and $\Delta_2(0)=1.80k_{B}T_c$ and a very weakinterband coupling. In contrast, $\rho_s(T)$, derived from the $\mu \rm{SR}$data taken in a small field, can be fitted by a single-gap BCS model with a gapclose to $\Delta_2(0)$. We conclude that LaPt$_{4}$Ge$_{12}$ is a marginaltwo-gap superconductor and the small gap $\Delta_1$ seems to be destroyed by asmall magnetic field. In comparison, in PrPt$_4$Ge$_{12}$ the $4f$-electronsmay enhance the interband coupling and, therefore, give rise to more robustmultiband superconductivity.

Weak Interband-Coupling Superconductivity in the Filled Skutterudite LaPt4Ge12