An active surface with a source area, a channel area and a drain area is provided in a semiconductor substrate. Each of the areas lie adjacent to a main surface of the semiconductor substrate. At least one trench is provided in the main surface of the semiconductor substrate. The trench is adjacent to the channel area and is situated in the gate electrode part. The gate electrode preferably has two opposite parts which are each adjacent to the channel area. The transistor is produced using standard process steps.