Magnetic and Orbital Order in ($R$MnO${}_3$)${}_n$/($A$MnO${}_3$)${}_{2n}$ Superlattices Studied via a Double-Exchange Model with Strain

Abstract

The two-orbital double-exchange model is employed for the study of the magnetic and orbital orders in ($R$MnO${}_3$)${}_n$/($A$MnO${}_3$)${}_{2n}$ ($R$: rare earths; $A$: alkaline earths) superlattices. The A-type antiferromagnetic order is observed in a broad region of parameter space for the case of SrTiO${}_3$ as substrate, in agreement with recent experiments and first-principles calculations using these superlattices. In addition, also a C-type antiferromagnetic state is predicted to be stabilized when using substrates like LaAlO${}_3$ with smaller lattice constants than SrTiO${}_3$, again in agreement with first principles results. The physical mechanism for the stabilization of the A- and C- magnetic transitions is driven by the orbital splitting of the $x^2-y^2$ and $3z^2-r^2$ orbitals. This splitting is induced by the $Q_3$ mode of Jahn-Teller distortions created by the strain induced by the substrates. In addition to the special example of (LaMnO${}_3$)${}_n$/(SrMnO${}_3$)${}_{2n}$, our phase diagrams can be valuable for the case where the superlattices are prepared employing narrow bandwidth manganites. In particular, several non-homogenous magnetic profiles are predicted to occur in narrow bandwidth superlattices, highlighting the importance of carrying out investigations in this mostly unexplored area of research.

arXiv comment11 pages, 10 figures

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• A Real Space Description of Magnetic Field Induced Melting in the Charge Ordered Manganites: I. The Clean Limit