Stabilization of three-dimensional charge order through interplanar orbital hybridization in Pr${}_x$Y${}_{1-x}$Ba${}_2$Cu${}_3$O${}_{6+\hat{I}´}$

Abstract

The shape of 3$d$-orbitals often governs the electronic and magnetic properties of correlated transition metal oxides. In the superconducting cuprates, the planar confinement of the $d_{x^2-y^2}$ orbital dictates the two-dimensional nature of the unconventional superconductivity and a competing charge order. Achieving orbital-specific control of the electronic structure to allow coupling pathways across adjacent planes would enable direct assessment of the role of dimensionality in the intertwined orders. Using Cu-$L_3$ and Pr-$M_5$ resonant x-ray scattering and first-principles calculations, we report a highly correlated three-dimensional charge order in Pr-substituted YBa${}_2$Cu${}_3$O${}_7$, where the Pr $f$-electrons create a direct orbital bridge between CuO${}_2$ planes. With this, we demonstrate that interplanar orbital engineering can be used to surgically control electronic phases in correlated oxides and other layered materials.