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 d3z2βr2β level as
(d3z2βr2β)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 d3z2βr2β orbital is
stabilized in the interfacial manganite layer neighboring to a
(d3z2βr2β)1 or (d3z2βr2β)2 system. In this case, the magnetic
interaction is sensitive to the occupancy of the Mn d3z2βr2β 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 t2gβ orbitals.Comment: 7pages, 4 figures, 1 tabl