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We report on measurements of the in-plane magnetic penetration depth($\lambda_{\rm ab}$) in single crystals of Sr$_2$RuO$_4$ down to $\simeq 0.015$K by means of muon-spin rotation/relaxation. The linear temperature dependenceof $\lambda^{-2}_{\rm ab}$ for $T\lesssim 0.7$ K suggests the presence of nodesin the superconducting gap. This statement is further substantiated byobservation of the Volovik effect, $i.e.$ the reduction of $\lambda_{ab}^{-2}$as a function of the applied magnetic field. The experimental zero-field andzero-temperature value of $\lambda_{\rm ab}=124(3)$ nm agrees with$\lambda_{\rm ab}\simeq 130$ nm, calculated based on results of electronicstructure measurements reported in [Phys. Rev X 9, 021048 (2019)]. Our analysisreveals that a simple nodal superconducting energy gap, described by the lowestpossible harmonic of a gap function, does not capture the dependence of$\lambda_{\rm ab}^{-2}$ on $T$, so the higher angular harmonics of the energygap function need to be introduced.

In-plane magnetic penetration depth in Sr$_2$RuO$_4$: muon-spin rotation/relaxation study