A semiconductor device with a semiconductor body and to a method for producing it. In one embodiment, the semiconductor body has first electrodes which contact first highly doped semiconductor zones and complementary-conduction body zones surrounding the first semiconductor zones. The semiconductor body has a second electrode which contacts a second highly doped semiconductor zone. Between the second semiconductor zone and the body zones, a drift zone is arranged. Control electrodes which are insulated from the semiconductor body by a gate oxide and act on the body zones for controlling the semiconductor device are arranged on the semiconductor body. The body zones have minority charge carrier injector zones with complementary conduction to the body zones, arranged between the first semiconductor zones and the drift zone.