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We have studied the influence of epitaxial strain on magnetic orderings andthe couplings between the spin and polar phonons in the 1:1 SrMnO$_3$/LaMnO$_3$superlattice from first principles. Magnetic phase transitions of thesuperlattice induced by epitaxial strain are observed, consistent with previousreports. We find that oxygen octahedral rotations lower the ground state energybut do not destroy the magnetic phase transitions induced by strain. We computezone center phonon frequencies and eigenvectors as functions of epitaxialstrain and magnetic ordering. A substantial increase of the coupling strengthbetween the spin and the lowest-frequency polar mode is observed for tensilestrains. This increase can be attributed to a change of character of the lowestmode resulting from different relative couplings of the various polar modes toepitaxial strain. Finally, spin-phonon coupling strengths are computed in aHeisenberg formalism. This analysis directly reveals the changes in exchangecouplings due to specific atomic displacements or phonon modes, as well as thenonequivalence of the out-of-plane exchange couplings across LaO layers andacross SrO layers, the latter being the result of the artificial structuring inthe superlattice.

Epitaxial strain effects on magnetic ordering and spin-phonon couplings in the (SrMnO$_3$)$_1$/(LaMnO$_3$)$_1$ superlattice from first principles