Abstract: A method according to embodiments of the invention includes epitaxially growing a III-nitride semiconductor layer from a gas containing gallium, a gas containing nitrogen, and a gas containing indium. The concentration of indium in the III-nitride semiconductor structure is greater than zero and less than 1020 cm?3. A structure according to embodiments of the invention includes a super lattice of alternating first and second III-nitride layers. The first layers are more highly doped than the second layers. The average dopant concentration in the super lattice is less than 1020 cm?3.