A semiconductor structure includes a capacitor structure comprising an active region comprising opposing field edges parallel to a first horizontal direction and a gate region comprising opposing gate edges parallel to a second horizontal direction transverse to the first horizontal direction. The semiconductor structure also comprises a first dielectric material adjacent at least one of the opposing field edges or the opposing gate edges and a second dielectric material adjacent the active area and abutting portions of the first dielectric material. A height of the second dielectric material in a vertical direction may be less than the height of the first dielectric material. Semiconductor devices and related methods are also disclosed.