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The magnetoresistance and magnetic torque of FeS are measured in magneticfields $B$ of up to 18 T down to a temperature of 0.03 K. The superconductingtransition temperature is found to be $T_c$ = 4.1 K, and the anisotropy ratioof the upper critical field $B_{c2}$ at $T_c$ is estimated from the initialslopes to be $\Gamma(T_c)$ = 6.9. $B_{c2}(0)$ is estimated to be 2.2 and 0.36 Tfor $B \parallel ab$ and $c$, respectively. Quantum oscillations are observedin both the resistance and torque. Two frequencies $F$ = 0.15 and 0.20 kT areresolved and assigned to a quasi-two-dimensional Fermi surface cylinder. Thecarrier density and Sommerfeld coefficient associated with this cylinder areestimated to be 5.8 $\times$ 10$^{-3}$ carriers/Fe and 0.48 mJ/(K$^2$mol),respectively. Other Fermi surface pockets still remain to be found.Band-structure calculations are performed and compared to the experimentalresults.

Upper critical field and quantum oscillations in tetragonal superconducting FeS