Absence of temperature-dependent phonon anomalies in Sr₂IrO₄ and Sr3Ir₂O₇

Following previous works reporting an anomalous behavior of several zone-center optical phonons across the magnetic transition of square lattice iridates Sr2IrO4 and Sr3Ir2O7, we have investigated the lattice dynamics as a function of momentum in these materials by means of high-resolution inelastic x-ray scattering. The observed phonon energies and scattering intensities across the Brillouin zone are in excellent agreement with ab initio lattice dynamical calculations based on nonmagnetic density-functional-perturbation theory. Our results do not evidence any renormalization of the phonons at finite momentum across the magnetic transition of Sr2IrO4. The only anomalous behavior was detected for the in-plane polarized longitudinal-acoustic phonon branch in Sr3Ir2O7, which anomalously softens towards low temperatures and might be related to anisotropic negative thermal expansion in this compound. No anomalies related to potential charge ordering were observed.