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.