Possible high-$T_c$ superconductivity due to incipient narrow bands originating from hidden ladders in Ruddlesden-Popper compounds

Abstract

We introduce a concept of hidden ladders for the bilayer Ruddlesden-Popper type compounds: While the crystal structure is bilayer, $d_{xz}$ ($d_{yz}$) orbitals in the relevant $t_{2g}$ sector of the transition metal form a two-leg ladder along $x$ ($y$), since the $d_{xz}$ ($d_{yz}$) electrons primarily hop along the leg direction $x$ ($y$) on top of the rung $z$ direction. We predict that Sr${}_3$Mo${}_2$O${}_7$ and Sr${}_3$Cr${}_2$O${}_7$ are candidates for the hidden-ladder material with a right position of $E_F$, from a first-principles band calculation. Based on the analysis of Eliashberg equation for these systems, we propose a possible occurrence of high temperature superconductivity in these materials arising from the interband pair scattering processes between the wide and "incipient" narrow bands on the ladder.

8 pages, 7 figures, published version

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• Origin of the Magnetic and Orbital ordering in $\alpha$-Sr${}_2$CrO${}_4$
• Heavy-fermions in frustrated Hund's metal with portions of incipient flat-bands
• Theoretical study of spin-fluctuation-mediated superconductivity in two-dimensional Hubbard models with an incipient flat band
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Hidden Ladder in SrMoO${}_3$/SrTiO${}_3$ Superlattices: Experiments and Theoretical Calculations