  Novel systems of layered graphene are attracting interest for theories and
applications. The stability, band structures of few-layer graphite films, and
their dependence on electric field applied along the c-axis are examined within
the density functional theory. We predict that those of Bernal type and also
rhombohedral type tri- and tetra-layer graphite films exhibit stability. The
rhombohedral-type systems including AB-bilayer, show variable band gap induced
by perpendicular electric field, whereas the other systems such as the
Bernal-type films stay semi-metallic.
