We review recent results on the modeling of nanoscale nMOSFETs with III-V compounds channel material. The focus will be on semi-classical transport modeling in short channel devices; we will show that back-scattering in the channel still influences the device performance, and thus affects the choice of the channel material. The model ingredients necessary to describe III-V MOSFETs will be discussed, and major differences compared to modeling of silicon FETs will be highlighted. © 2019 IEEE.