A semiconductor substrate, a field effect transistor and their
manufacturing methods provided with, in order to lower penetrating
dislocation density and reduce surface roughness to a practical level, an
Si substrate 1, a first SiGe layer 2 on the Si substrate, and a second
SiGe layer 3 arranged on the first SiGe layer either directly or with an
Si layer in between; wherein, the first SiGe layer has a film thickness
that is thinner than twice the critical film thickness, which is the film
thickness at which dislocation occurs resulting in lattice relaxation due
to increased film thickness, the Ge composition ratio of the second SiGe
layer is at least lower than the intralayer maximum value of the Ge
composition ratio in the first SiGe layer or in the first SiGe layer at
the contact surface with the Si layer, and the second SiGe layer has an
incremental composition region in which the Ge composition ratio
gradually increases towards the surface at least in a portion thereof.