A memory device includes a first plurality of memory cells arranged in a first crossbar array, a first thickness of dielectric material overlying the first plurality of memory cells, and a second plurality of memory cells arranged in a second crossbar array overlying the first thickness of dielectric material. The memory device further includes a second thickness of dielectric material overlying the second plurality of memory cells. In a specific embodiment, the memory device further includes a Nth thickness of dielectric material overlying an Nth plurality of memory cells, where N is an integer ranging from 3 to 8.