Method for making semiconductor device including a superlattice with different non-semiconductor material monolayers

A method for making a semiconductor device may include forming a superlattice on a semiconductor substrate and including a plurality of stacked groups of layers. Each group of layers of the superlattice may include a plurality of stacked base semiconductor monolayers defining a base semiconductor portion and at least one non-semiconductor monolayer constrained within a crystal lattice of adjacent base semiconductor portions. A first at least one non-semiconductor monolayer may be constrained within the crystal lattice of a first pair of adjacent base semiconductor portions and comprise a first non-semiconductor material, and a second at least one non-semiconductor monolayer may be constrained within the crystal lattice of a second pair of adjacent base semiconductor portions and comprise a second non-semiconductor material different than the first non-semiconductor material.