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We report the pressure and temperature dependence of the phonondensity-of-states in superconducting Ca0.6Na0.4Fe2As2 (Tc=21 K) and the parentcompound CaFe2As2, using inelastic neutron scattering. We observe nosignificant change in the phonon spectrum for Ca0.6Na0.4Fe2As2 at 295 K up topressures of 5 kbar. The phonon spectrum for CaFe2As2 shows softening of thelow-energy modes by about 1 meV when decreasing the temperature from 300 K to180 K. There is no appreciable change in the phonon density of states acrossthe structural and anti-ferromagnetic phase transition at 172 K. These results,combined with our earlier temperature dependent phonon density of statesmeasurements for Ca0.6Na0.4Fe2As2, indicate that the softening of low-energyphonon modes in these compounds may be due to the interaction of phonons withelectron or short-range spin fluctuations in the normal state of thesuperconducting compound as well as in the parent compound. The phonon spectraare analyzed with ab-initio and empirical model calculations giving partialdensities of states and dispersion relations.

physical review. b, condensed matter and materials physics

Phonon spectra in CaFe2As2 and Ca0.6Na0.4Fe2As2: Measurement of the  pressure and temperature dependence and comparison with ab-initio and shell  model calculations