  Here, we study an interface induced magnetic properties in 3$d$-5$d$ based
multilayer made of La$_{0.67}$Sr$_{0.33}$MnO$_3$ and double perovskite
Sr$_2$FeIrO$_6$, respectively. Bulk La$_{0.67}$Sr$_{0.33}$MnO$_3$ is metallic
and shows ferromagnetic (FM) ordering above room temperature. In contrast, bulk
Sr$_2$FeIrO$_6$, is an antiferromagnet (AFM) with N$\acute{e}$el temperature
around 45 K ($T_N$) and exhibits an insulating behavior. Two set of multilayers
have been grown on SrTiO$_3$ (100) crystal with varying thickness of FM layer.
multilayer with equal thickness of La$_{0.67}$Sr$_{0.33}$MnO$_3$ and
Sr$_2$FeIrO$_6$ ($\sim$ 10 nm) shows exchange bias (EB) effect both in
conventionally field cooled (FC) as well as in zero field cooled (ZFC) magnetic
hysteresis measurements which is rather unusual. The ZFC EB effect is weakened
both with increasing maximum field during initial magnetization process at low
temperature and with increasing temperature. Interestingly, multilayer with
reduced thickness of La$_{0.67}$Sr$_{0.33}$MnO$_3$ ($\sim$ 5 nm) does not
exhibit ZFC EB phenomenon, however, the FC EB effect is strengthened showing
much higher value. We believe that an AFM type exchange coupling at interface
and its evolution during initial application of magnetic field cause this
unusual EB in present multilayers.
