In a field-effect semiconductor device, alternating first n-type and p-type pillar regions are arranged in the active area. The first n-type pillar regions are in Ohmic contact with the drain metallization. The first p-type pillar regions are in Ohmic contact with the source metallization. An integrated dopant concentration of the first n-type pillar regions substantially matches that of the first p-type pillar regions. A second p-type pillar region is in Ohmic contact with the source metallization, arranged in the peripheral area and has an integrated dopant concentration smaller than that of the first p-type pillar regions divided by a number of the first p-type pillar regions. A second n-type pillar region is arranged between the second p-type pillar region and the first p-type pillar regions, and has an integrated dopant concentration smaller than that of the first n-type pillar regions divided by a number of the first n-type pillar regions.