Crystal growth method of oxide, cerium oxide, promethium oxide, multi-layered structure of oxides, manufacturing method of field effect transistor, manufacturing method of ferroelectric non-volatile memory and ferroelectric non-volatile memory

An epitaxial rare earth oxide (001)/silicon (001) structure is realized by epitaxially growing a rare earth oxide such as cerium dioxide in the (001) orientation on a (001)-oriented silicon substrate. For this purpose, the surface of the (001)-oriented Si substrate is processed into a dimer structure by 21, 12 surface reconstruction, and a rare earth oxide of a cubic system or a tetragonal system, such as CeO₂ film, is epitaxially grown in the (001) orientation on the Si substrate by molecular beam epitaxy, for example. During this growth, a source material containing at least one kind of rare earth element is supplied after the supply of an oxidic gas is supplied onto the surface of the Si substrate. If necessary, annealing is conducted in vacuum after the growth.