We report the observation of a superconducting state below ∼ 8 K coexistent with a spin-glass state caused by atomic disorder in Ce substituted Ca3Rh4Sn13. Measurements of specific heat, resistivity, and magnetism reveal the existence of inhomogeneous superconductivity in samples doped with Ce with superconducting critical temperatures Tc higher than those observed in the parent compound. For Ca3Rh4Sn13, the negative value of the change in resistivity ρ with pressure P , dρ dP correlates well with the calculated decrease in the density of states (DOS) at the Fermi energy with P . Based on band structure calculations performed under pressure, we demonstrate how the change in DOS would affect Tc of Ca3Rh4Sn13 under negative lattice pressure in samples that are strongly defected by quenching.

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