A semiconductor device includes a first load terminal at a first surface of a semiconductor body and a second load terminal at the opposing surface. An active device area is surrounded by an edge termination area. Load terminal contacts are absent in the edge termination area and are electrically connected to the semiconductor body in the active device area at the first surface. A positive temperature coefficient structure is between at least one of the first and second load terminals and a corresponding one of the first and second surfaces. Above a maximum operation temperature specified for the semiconductor device, a specific resistance of the positive temperature coefficient structure increases by at least two orders of magnitude within a temperature range of at most 50 K. A degree of area coverage of the positive temperature coefficient structure is greater in the edge termination area than in the active device area.