Homes scaling across infinite-layer nickelates

Abstract Homes scaling links the superconducting condensate to dissipative normal-state transport through the relation between superfluid spectral weight, dc conductivity, and transition temperature. We examine this scaling in infinite-layer nickelates by separating same-film measurements from composition-matched data obtained from different film batches. Sample-matched La-, Pr-, and Nd-based films remain close to the canonical linear Homes scale, whereas the composition-matched Nd series exhibits a steeper dependence across the superconducting dome. The contrast is consistent with variations in condensate spectral weight, normal-state scattering, and multiband electronic response. Comparison with dirty d-wave, Planckian, Uemura, and thin-film scaling frameworks indicates several plausible physical interpretations. These results motivate doping-resolved measurements of penetration depth, dc conductivity, and optical Drude response on the same nickelate films to clarify the microscopic origin of the observed scaling evolution.

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