An interlayer structure that, in one implementation, includes a combination of an amorphous or nano-crystalline seed-layer, and one or more metallic layers, deposited on the seed layer, with the fcc, hcp or bcc crystal structure is used to epitaxially orient a semiconductor layer on top of non-single-crystal substrates. In some implementations, this interlayer structure is used to establish epitaxial growth of multiple semiconductor layers, combinations of semiconductor and oxide layers, combinations of semiconductor and metal layers and combination of semiconductor, oxide and metal layers. This interlayer structure can also be used for epitaxial growth of p-type and n-type semiconductors in photovoltaic cells.