A method of fabricating a stacked nanostructure array includes preparing a substrate; forming a bottom electrode directly on the substrate; growing a first nanostructure array directly on the bottom electrode; forming an insulating layer on the first nanostructure array; exposing the upper surface of the first nanostructure array; depositing a second, and subsequent, nanostructure array on a nanostructure array immediately below the second and subsequent nanostructure array; repeating said forming, said exposing and said depositing a subsequent steps to form a stacked nanostructure array; removing an uppermost insulating layer; and forming a top electrode on an uppermost nanostructure array. A sensor incorporating the nanostructure array includes top and bottom electrodes with plural layers of nanostructure array therebetween.