Integrated circuit transistor structures are disclosed that reduce band-to-band tunneling between the channel region and the source/drain region of the transistor, without adversely increasing the extrinsic resistance of the device. In an example embodiment, the structure includes one or more spacer configured to separate the source and/or drain from the channel region. The spacer(s) regions comprise a semiconductor material that provides a relatively high conduction band offset (CBO) and a relatively low valence band offset (VBO) for PMOS devices, and a relatively high VBO and a relatively low CBO for NMOS devices. In some cases, the spacer includes silicon, germanium, and carbon (e.g., for devices having germanium channel). The proportions may be at least 10% silicon by atomic percentage, at least 85% germanium by atomic percentage, and at least 1% carbon by atomic percentage. Other embodiments are implemented with III-V materials.