Magnetically induced phonon anisotropy in ZnCr2O4 from first principles.

We have studied the influence of magnetic order on the optical phonons of the geometrically frustrated spinel ZnCr2O4 within density-functional theory. By mapping local spin density approximation plus Hubbard U (LSDA + U) phonon calculations onto a Heisenberg-like model, we developed a method to calculate exchange derivatives and subsequently the spin-phonon coupling parameter from first principles.