This is how the phonon dispersion is varying in my case. With changing the supercell size, the acoustic branches vary differently. Is this behavior expected?
You can only resolve phonons with wavevectors that are commensurate to the supercell size (i.e, proportional to 1/k), see e.g., this work. Phonons near the gamma point are the hardest to resolve accurately because the wavevector at Gamma is (0,0,0), and thus a huge supercell is needed
Thanks for the reply. So, the dispersion gets more accurate with the supercell size which is a result of having the finite q frequencies at 1/N values (for N - supercell size).
Yep exactly! Typically you’ll need to do a convergence test of the supercell size against the lowest frequency modes that you want to study to figure out what a reasonable supercell size is
If the frequency at Gamma is changing with supercell size, this is anomalous behaviour and suggests a bug or some very noisy input data. But the improvement of the bands near Gamma in those plots does appear to be a typical supercell size convergence effect.