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We have performed transverse-field muon spin relaxation (TF-$\mu$SR)measurements on ambient-pressure-grown polycrystalline$\mathrm{LaO_{0.5}F_{0.5}BiS_{2}}$. From these measurements, no signature ofmagnetic order is found down to 25 mK. The value of the magnetic penetrationdepth extrapolated to 0 K is 0.89 (5) $\mu$m. The temperature dependence ofsuperconducting penetration depth is best described by either a multigap s +s-wave model with $\Delta_{1}$ = 0.947 (7) meV and $\Delta_{2}$ = 0.22 (4) meVor the ansiotropic s-wave model with $\Delta(0)$ = 0.776 meV and anisotropicgap amplitude ratio $\Delta_{min}/\Delta_{max}$ = 0.34. Comparisons with otherpotentially multigap $\mathrm{BiS_{2}}$-based superconductors are discussed. Wefind that these $\mathrm{BiS_{2}}$-based superconductors, including$\mathrm{Bi_{4}O_{4}S_3}$ and the high-pressure synthesized$\mathrm{LaO_{0.5}F_{0.5}BiS_{2}}$, generally conform to the Uemura relation.

Superconducting gap structure in ambient-pressure-grown $\mathrm{LaO_{0.5}F_{0.5}BiS_{2}}$