We study transport properties of a ${\text{MoS}}_2$ monolayer in the presence of a perpendicular magnetic field $B$. We derive and discuss its band structure and take into account spin and valley Zeeman effects. Compared to a conventional two-dimensional electron gas, these effects lead to new quantum Hall plateaus and new peaks in the longitudinal resistivity as functions of the magnetic field. The field $B$ leads to a significant enhancement of the spin splitting in the conduction band, to a beating of the Shubnikov–de Haas (SdH) oscillations in the low-field regime, and to their splitting in the high-field regime. The Zeeman fields suppress significantly the beating of the SdH oscillations in the low-field regime and strongly enhance their splitting at high fields. The spin and valley polarizations show a similar beating pattern at low fields and are clearly separated at high fields in which they attain a value higher than $90\%$.

• Received 30 June 2015

DOI:https://doi.org/10.1103/PhysRevB.93.035406