A semiconductor device includes a semiconductor substrate having a first dopant and a second dopant. A covalent atomic radius of a material of the semiconductor substrate is i) larger than a covalent atomic radius of the first dopant and smaller than a covalent atomic radius of the second dopant, or ii) smaller than the covalent atomic radius of the first dopant and larger than the covalent atomic radius of the second dopant. The semiconductor device further includes a semiconductor layer on the semiconductor substrate and semiconductor device elements in the semiconductor layer. A vertical concentration profile of the first dopant decreases along at least 80% of a distance between an interface of the semiconductor substrate and the semiconductor layer to a surface of the semiconductor substrate opposite to the interface.