A semiconductor chip may include a semiconductor body, a current spreading layer, and a contact structure. The semiconductor body may include a first semiconductor layer, a second semiconductor layer, and an intervening active layer, and a current spreading layer arranged in a vertical direction between the contact structure and the semiconductor body. The semiconductor boy has a plurality of internal step configured in a terrace-like manner where the contact structure may include a plurality of conductor tracks arranged with regard to the lateral orientations of the internal step in such a way that current spreading along the internal steps is promoted vis-à-vis current spreading transversely with respect to the internal steps. A method for producing the semiconductor chip is also included.