A semiconductor device includes a first semiconductor body including a substrate having a first thickness, wherein the first semiconductor body includes a first active zone that generates or receives radiation, and a second semiconductor body having a second thickness smaller than the first thickness and including a tear-off point is arranged on the substrate and connected in an electrically conducting manner to the first semiconductor body, wherein the second semiconductor body includes a second active zone that generates or receives radiation, and the second active zone generates radiation and the first active zone detects the radiation, and the first semiconductor body includes contacts on its underside for connection to the semiconductor device.