Intrinsic ferromagnetic semiconductors in rhombohedral RMnO3 (R = Sc, Y, and Lu) with high critical temperature and large ferroelectric polarization

Ferromagnetic (FM) semiconductors have been recognized as the cornerstone for next-generation highly functional spintronic devices. However, the development in practical applications of FM semiconductors is limited by their low Curie temperatures (TC). Here, on the basis of model analysis, we find that the FM super-exchange couplings in the d5-d3system can be significantly strengthened by reducing the virtual exchange gap (Gex) between occupied and emptyegorbitals. By first-principle calculations, we predict robust ferromagnetism in three rhombohedralRMnO3(R= Sc, Y, and Lu) compounds with theTCthat is as high as ~ 1510 K (YMnO3). The oxygen breathing motions open a band gap and create an unusual Mn2+/Mn4+charge ordering of the Mn-d electrons, which play an important role in altering theGex. Interestingly, the rhombohedralRMnO3compounds are also ferroelectric (FE) with a large spontaneous polarization approaching that of LiNbO3. These results not only deepen the understandings of magnetic couplings in d5-d3system, but also provide a way to design room-temperature FM-FE multiferroics.