A method for forming a semiconductor device includes implanting a predefined dose of protons into a semiconductor substrate. Further, the method comprises controlling a temperature of the semiconductor substrate during the implantation of the predefined dose of protons so that the temperature of the semiconductor substrate is within a target temperature range for more than 70% of an implant process time used for implanting the predefined dose of protons. The target temperature range reaches from a lower target temperature limit to an upper target temperature limit. Further, the lower target temperature limit is equal to a target temperature minus 30° C. and the upper target temperature limit is equal to the target temperature plus 30° C. and the target temperature is higher than 80° C.