A general consideration is presented for the magnetic interaction at an
interface between a perovskite manganite and other transition metal oxides. The
latter is specified by the electron number n in the d3z2−r2 level as
(d3z2−r2)n. Based on the molecular orbitals formed at the interface and
the generalized Hund's rule, the sign of the magnetic interaction is rather
uniquely determined. The exception is when the d3z2−r2 orbital is
stabilized in the interfacial manganite layer neighboring to a
(d3z2−r2)1 or (d3z2−r2)2 system. In this case, the magnetic
interaction is sensitive to the occupancy of the Mn d3z2−r2 orbital. It
is also shown that the magnetic interaction between the interfacial Mn layer
and the bulk region can be changed. Manganite-based heterostructures thus show
a rich magnetic behavior. We also present how to generalize the argument
including t2g orbitals.Comment: 7pages, 4 figures, 1 tabl