  Oxide heterostructures exhibit a rich variety of magnetic and transport
properties which arise due to contact at an interface. This can lead to
surprising effects that are very different from the bulk properties of the
materials involved. We report the magnetic properties of bilayers of SrRuO3, a
well known ferromagnet, and CaRuO3, which is nominally a paramagnet. We find
intriguing features that are consistent with CaRuO3 developing dual magnetic
character, with both a net moment as well as antiferromagnetic order. We argue
the ordered SrRuO3 layer induces an undulating polarization profile in the
conduction electrons of CaRuO3, by a mechanism akin to Friedel oscillations. At
low temperatures, this oscillating polarization is inherited by rigid local
moments within CaRuO3, leading to a robust exchange bias. We present ab initio
simulations in support of this picture. Our results demonstrate a new ordering
mechanism and throw light on the magnetic character of CaRuO3 .
