Ferromagnetism in Semiconductor Dot Array

Abstract
Ferromagnetism in semiconductor-dot arrays is theoretically predicted. The two types of bipartite semiconductor-dot arrays which we propose exhibit flat band characteristics. According to the Lieb theorem, ferromagnetism is predicted, although our designed dot arrays do not contain any magnetic elements. We also investigate the typical dot-radius and inter-dot distance for the realization of the semiconductor-dot ferromagnetism, and several applications are discussed.