A thyristor-based semiconductor device includes a thyristor body that has at least one region in the substrate and a thyristor control port in a trenched region of the device substrate. According to an example embodiment of the present invention, the trench is at least partially filled with a dielectric material and a control port adapted to capacitively couple to the at least one thyristor body region in the substrate. In a more specific implementation, the dielectric material includes deposited dielectric material that is adapted to exhibit resistance to voltage-induced stress that thermally-grown dielectric materials generally exhibit. In another implementation, the dielectric material includes thermally-grown dielectric material, and when used in connection with highly-doped material in the trench, grows faster on the highly-doped material than on a sidewall of the trench that faces the at least on thyristor body region in the substrate. In still another implementation, the dielectric material includes both a thermally-grown dielectric material and a deposited dielectric material. These approaches are particularly useful, for example, in high-density and other applications where thermally-stable dielectric materials are desirable and/or where dielectric material growth at different rates is desirable.