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The authors of a recent paper (PRA \textbf{87}, 013613 (2013)) argued that infermionic systems with d-wave pairing the speed of sound is nonanalytic acrossthe BCS-BEC crossover at the point where the chemical potential vanishes,regardless of the specific details of the interaction potential. On thecontrary, the numerical results reported here suggest that the speed of soundacross the BCS-BEC evolution of atomic Fermi gases with s- and d-wave pairingsin two-dimensional square lattices is a smooth analytic function at thevanishing chemical potential.

Speed of sound of a spin balanced Fermi gas with s- and d-wave pairings across the BCS-BEC evolution