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Electronic reconstruction at the polar interface LaMnO$_3$/SrMnO$_3$(LMO/SMO) (100) resulting from the polar catastrophe is studied from a modelHamiltonian that includes the double and super exchange interactions, theMadelung potential, and the Jahn-Teller coupling terms relevant for themanganites. We show that the polar catastrophe, originating from thealternately charged LMO layers and neutral SMO layers, is quenched by theaccumulation of an extra half electron per cell in the interface region as inthe case of the LaAlO$_3$/SrTiO$_3$ interface. In addition, the Mn e$_g$electrons leak out from the LMO side to the SMO side, the extent of the leakagebeing controlled by the interfacial potential barrier and the substrate inducedepitaxial strain. The leaked electrons mediate a Zener double exchange, makingthe layers adjacent to the interface ferromagnetic, while the two bulkmaterials away from the interface retain their original type A or Gantiferromagnetic structures. A half-metallic conduction band results at theinterface, sandwiched by the two insulating bulks. We have also studied how theelectron leakage and consequently the magnetic ordering are affected by thesubstrate induced epitaxial strain. Comparisons are made with the results ofthe density-functional calculations for the (LMO)$_6$/(SMO)$_4$ superlattice.

Polar catastrophe, electron leakage, and magnetic ordering at the LaMnO$_3$/SrMnO$_3$ interface