A method for producing a semiconductor device is provided. The method includes: providing a wafer including an upper surface and a plurality of semiconductor mesas extending to the upper surface; forming a first support structure made of a first material and adjoining the plurality of semiconductor mesas at the upper surface so that adjacent pairs of the plurality of semiconductor mesas are bridged by the first support structure; forming a second support structure made of a second material different from the first material and adjoining the plurality of semiconductor mesas at the upper surface so that the adjacent pairs of the plurality of semiconductor mesas are bridged by the second support structure; removing the first support structure; and at least partly removing the second support structure.