An embodiment of a method for manufacturing a semiconductor device includes: providing a monocrystalline semiconductor substrate having a first side; forming a plurality of recess structures in the semiconductor substrate at the first side; filling the recess structures with a dielectric material to form dielectric islands in the recess structures; forming a semiconductor layer on the first side of the semiconductor substrate to cover the dielectric islands; and subjecting the semiconductor layer to heat treatment and recrystallizing the semiconductor layer to form a recrystallized semiconductor layer, so that a crystal structure of the recrystallized semiconductor layer adapts to a crystal structure of the semiconductor substrate, and so that the semiconductor substrate and the semiconductor layer together form a compound wafer with the dielectric islands at least partially buried in the semiconductor material of the compound wafer.