Tunnel field-effect transistors (TFETs) are potential successors of metal-oxide-semiconductor FETs because of the absence of short-channel effects and of a subthreshold-slope limit. As a solution to the low on-currents of silicon-based TFETs, the incorporation of silicon-germanium at the source-channel interface has been considered. However, the understanding of the band-to-band-tunneling mechanism at heterojunctions is incomplete. We have investigated through device simulations and modeling the impact of source-material modifications on the tunnel current in n-channel nanowire TFETs. Our modeling work includes the development of a semi-analytical model, which determines the tunnel probability along the dominant tunnel path in two-dimensional TFETs. In particular, we have analyzed the impact of the bandgap, electron affinity, effective mass, dielectric constant, and density of states of both source and channel material. We show that a small-bandgap source material and a large positive electron-affinity offset at the source-channel interface boost the tunnel current of n-channel TFETs.