Abstract: A vertical semiconductor transistor component is built up on a substrate by using a statistical mask. The vertical semiconductor transistor component has vertical pillar structures statistically distributed over the substrate. The vertical pillar structures are electrically connected on a base side thereof to a first common electrical contact. The vertical pillar structures include, along the vertical direction, layer zones of differing conductivity, and have insulation layers on their circumferential walls. An electrically conductive material is deposited between the pillar structures and forms a second electrical contact of the semiconductor transistor component. The pillar structures are electrically contacted to a third common electrical contact on their capping side.

Abstract: A spacer is used as a mask in an etching step during which a layer structure is produced for a channel layer and for a first source/drain region. After the layer structure has been produced, the first source/drain region and a second source/drain region can be produced by implantation. The second source/drain region is self-aligned on two mutually opposite flanks of the layer structure. A gate electrode can be produced in the form of a spacer on the two flanks. In order to avoid a capacitance formed by a first contact of the gate electrode and the first source/drain region, a part of the first source/drain region may be removed. If the layer structure is produced along edges of an inner area, then a third contact of the second source/drain region may be produced inside the inner area in order to reduce the surface area of the transistor.