A semiconductor substrate manufacturing method has a first layer formation
process, a second layer formation process, a heat treatment process, and
a polishing process; in the first layer formation process, the thickness
of the first SiGe layer is set to less than twice the critical thickness,
which is the film thickness at which dislocations appear and lattice
relaxation occurs due to increasing film thickness; in the second layer
formation process, the Ge composition ratio of the second SiGe layer is
at least at the contact face with the first SiGe layer or with the Si
layer, set lower than the maximum value of the Ge composition ratio in
the first SiGe layer, and moreover, a gradient composition region in at
least a portion of which the Ge composition ratio increases gradually
toward the surface is formed. By this means, the penetrating dislocation
density is kept low, surface roughness is low, and worsening of roughness
at the surface and at interfaces due to heat treatment in device
manufacturing processes or similar is prevented.