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We have studied transport and magnetotransport properties of theheterostructure consisting of the ferroelectric Ba$_{0.8}$Sr$_{0.2}$TiO$_3$film deposited on the single crystalline manganite LaMnO$_3$. Two-dimensionalelectron gas arising at the interface transforms the interface region of theantiferromagnetic manganite to the ferromagnetic state with the reorientedmagnetic moments. We obtained that the contribution of these ferromagneticregions to the resistance of the heterostructure appears to be dependent on theexternal magnetic field applied perpendicularly to the interface (and parallelto {\it c}-axis of the ferromagnetic state of LaMnO$_3$). We believe that thedecrease of the resistance of the studied heterostructure under the influenceof the external magnetic field is caused by an appearance of the ferromagneticorder in the interface area. This leads to a relatively small resistance. Inturn, the cycling of the applied magnetic field leads to the increase of theregions of the ferromagnetic order and, as a result, to decreasing scatteringof the current carriers at the ferromagnetic disordering.

Magnetic-field effect in the heterostructure Ba$_{0.8}$Sr$_{0.2}$TiO$_3$/LaMnO$_3$