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Superconducting nickelates are a new family of strongly correlated electron materials with a phase diagram closely resembling that of superconducting cuprates. While analogy with the cuprates is natural, very little is known about the metallic state of the nickelates, making these comparisons difficult. We probe the electronic dispersion of thin-film superconducting five-layer ( $n=5$) and metallic three-layer ( $n=3$) nickelates by measuring the Seebeck coefficient $S$. We find a temperature-independent and negative $S/T$for both $n=5$and $n=3$nickelates. These results are in stark contrast to the strongly temperature-dependent $S/T$measured at similar electron filling in the cuprate ${\mathrm{La}}_{1.36}{\mathrm{Nd}}_{0.4}{\mathrm{Sr}}_{0.24}{\mathrm{CuO}}_4$. The electronic structure calculated from density-functional theory can reproduce the temperature dependence, sign, and amplitude of $S/T$in the nickelates using Boltzmann transport theory. This demonstrates that the electronic structure obtained from first-principles calculations provides a reliable description of the fermiology of superconducting nickelates and suggests that, despite indications of strong electronic correlations, there are well-defined quasiparticles in the metallic state. Finally, we explain the differences in the Seebeck coefficient between nickelates and cuprates as originating in strong dissimilarities in impurity concentrations. Our study demonstrates that the high elastic scattering limit of the Seebeck coefficient reflects only the underlying band structure of a metal, analogous to the high magnetic field limit of the Hall coefficient. This opens a new avenue for Seebeck measurements to probe the electronic band structures of relatively disordered quantum materials. Published by the American Physical Society2024 

Abstract In various so-called strange metals, electrons undergo Planckian dissipation 1,2 , a strong and anomalous scattering that grows linearly with temperature 3 , in contrast to the quadratic temperature dependence expected from the standard theory of metals. In some cuprates 4,5 and pnictides 6 , a linear dependence of resistivity on a magnetic field has also been considered anomalous—possibly an additional facet of Planckian dissipation. Here we show that the resistivity of the cuprate strange metals Nd 0.4 La 1.6− x Sr x CuO 4 (ref. 7 ) and La 2− x Sr x CuO 4 (ref. 8 ) is quantitatively consistent with the standard Boltzmann theory of electron motion in a magnetic field, in all aspects—field strength, field direction, temperature and disorder level. The linear field dependence is found to be simply the consequence of scattering rate anisotropy. We conclude that Planckian dissipation is anomalous in its temperature dependence, but not in its field dependence. The scattering rate in these cuprates does not depend on field, which means that their Planckian dissipation is robust against fields up to at least 85 T.