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The specific heat of two polymorphs of BaPd2As2 was measured. TheThCr2Si2-type polymorph (space group I4/mmm, $D_{4h}^{17}$, No. 139) is apreviously reported superconductor with a transition temperature Tc $\simeq$3.5 K, while the CeMg2Si2-type polymorph (P4/mmm, $D_{4h}^{1}$, No. 123) is anormal metal and does not exhibit superconductivity down to 1.8 K. Our resultsrevealed that the ThCr2Si2-type has an anomalously low Debye temperature,indicative of soft phonons, compared to the CeMg2Si2-type. Moreover, a largespecific-heat jump at Tc indicated that the superconductivity of ThCr2Si2-typeis a strong-coupling type, which is likely derived from soft phonons.

Strong-Coupling Superconductivity in BaPd2As2 Induced by Soft Phonons in the ThCr2Si2-type Polymorph