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We report a search for lepton-flavor-violating decays $\tau^- \to \ell^-\phi$ ($\ell^- =e^-,\mu^-$) at the Belle II experiment, using a sample ofelectron-positron data produced at the SuperKEKB collider in 2019-2021 andcorresponding to an integrated luminosity of 190 fb$^{-1}$. We use a newuntagged selection for $e^+e^- \to \tau^+\tau^-$ events, where the signal$\tau$ is searched for as a neutrinoless final state of a single charged leptonand a $\phi$ meson and the other $\tau$ is not reconstructed in any specificdecay mode, in contrast to previous measurements by the BaBar and Belleexperiments. We find no evidence for $\tau^- \to \ell^- \phi$ decays and obtainupper limits on the branching fractions at 90% confidence level of 23 $\times10^{-8}$ and 9.7$\times 10^{-8}$ for $\tau^- \rightarrow e^-\phi$ and $\tau^-\rightarrow \mu^-\phi$, respectively

Search for lepton-flavor-violating $\tau^- \to \ell^-\phi$ decays in 2019-2021 Belle II data