Journal of Statistical Physics, Vol. 116, Nos. 1/4, August 2004, p. 773-782.
We design a two-dimensional ferromagnet of quantum spheres of radius O(10 nm^3) made of nonmagnetic intrinsic semiconducting material, each connected to its neighbors by nano-cylinders made of identical material. Ferro-magnetism ensues if there is precisely one electron trapped in each sphere; this is a direct consequence of a theorem by Elliott Lieb. We analyze and estimate the important materials parameters. At concentrations of less than 1 electron per sphere, ultimate collapse of the ferromagnetic state should yield a paramagnetic Fermi liquid. We point out the need for additional numerical and physical experimentation.