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Superconductivity in cerium at high pressure: Indications for phonon softening

Abstract The superconducting T c of the α′ phase1 is independent of pressure between ∼150 and ∼120 kbar. With decreasing pressure T c (P) rises by ∼0.6 K to 1.9 K at the α/α′ phase boundary at ∼36 kbar. We suggest that phonon softening is responsible for the enhancement of Tc in approaching the structural phase transformation. The increase of T c in the α-phase2 between 20 and 40 kbar can be, perhaps, understood on the same grounds.