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First-principles calculations reveal large zone-center spin-phonon couplingand magnetically-driven phonon anisotropy in cubic perovskites Sr$M$O$_3$($M$=V,Cr,Mn,Fe,Co). In particular, the frequency and splitting of the polarSlater mode is found to depend strongly on magnetic ordering. The coupling isparameterized in a crystal-structure-dependent Heisenberg model and its mainfeatures seen to arise from the Goodenough-Kanamori rules. This coupling can beexpected to produce distinct low-energy alternative phases, resulting in a richvariety of coupled magnetic, structural and electronic phase transitions drivenby temperature, stress, electric field and cation substitution.

Large spin-phonon coupling and magnetically-induced phonon anisotropy in Sr$M$O$_3$ perovskites ($M$=V,Cr,Mn,Fe,Co)