Methods for integrating heterogeneous channel material into a semiconductor device, and semiconductor devices that integrate heterogeneous channel material. A method for fabricating a semiconductor device includes processing a first substrate of a first material at a first thermal budget to fabricate a p-type device. The method further includes coupling a second substrate of a second material to the first substrate. The method also includes processing the second substrate to fabricate an n-type device at a second thermal budget that is less than the first thermal budget. The p-type device and the n-type device may cooperate to form a complementary device.