Emergent flat-band physics in $d^{9-\delta }$ multilayer nickelates

Abstract

Recent experiments have shown that the reduced multilayer rare-earth (RE) nickel oxides of form RE${}_{p+1}$Ni${}_p$O${}_{2p+2}$ may belong to the novel family of superconducting lanthanide nickelates. Here, the correlated electronic structure of Pr${}_4$Ni${}_3$O${}_8$ and Nd${}_6$Ni${}_5$O${}_{12}$ is studied by means of an advanced realistic many-body framework. It is revealed that the low-energy physics of both systems is dominated by an interplay of Ni-$d_{x^2-y^2}$ and Ni-$d_{z^2}$ degrees of freedom. Whilst the Ni-$d_{x^2-y^2}$ orbitals are always highly correlated near an (orbital-selective) Mott-insulating regime, the Ni-$d_{z^2}$ orbitals give rise to intriguing non-dispersive features. At low temperature, the Pr compound still displays QP-like Ni-$d_{x^2-y^2}$-derived states at the Fermi level, but the interacting fermiology of the Nd compound is outshined by an emergent Ni-$d_{z^2}$-controlling flat band. These findings translate well to the previous characterization of doped infinite-layer nickelates, and hence further make the case for a mechanism of unconventional superconductivity which is distinct from the one in high-$T_{\mathrm{c}}$ cuprates.

arXiv comment10 pages, 6 figures

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