The main aspects of the fabrication and the structural and magnetic properties of
epitaxial metal-insulator heterostructures are reviewed. Continuous and
lithographically processed systems are discussed, with special emphasis on their
crystalline nature when interpreting their physical properties. The work is placed
within the scope of the previous and current activities by different groups on
Fe/MgO(001), considered as a model system. The influence of deposition
conditions on the epitaxy and morphology are discussed initially, correlating
afterwards magnetic properties with crystalline structure. Subsequently, magnetic
anisotropies and interactions are treated in both continuous and patterned film
structures. Finally, the use of these fully epitaxial transition metal-insulator
heterostructures for the development of magnetic tunnel junctions is described.