Designing a robustly metallic noncenstrosymmetric ruthenate oxide with large thermopower anisotropy

The existence of approximately 30 noncentrosymmetric metals (NCSM) suggests a contraindication between crystal structures without inversion symmetry and metallic behavior. Those containing oxygen are especially scarce. Here we propose and demonstrate a design framework to remedy this property disparity and accelerate NCSM-oxide discovery: The primary ingredient relies on the removal of inversion symmetry through displacements of atoms whose electronic degrees of freedom are decoupled from the states at the Fermi level. Density functional theory calculations validate this crystal--chemistry strategy, and we predict a new polar ruthenate exhibiting robust metallicity. We demonstrate that the electronic structure is unaffected by the inclusion of spin-orbit interactions (SOI), and that cation ordered SrCaRu$_2$O$_6$ exhibits a large thermopower anisotropy ($\left|\Delta\mathcal{S}_\perp\right|\sim6.3 \mu \textrm{V K}^{-1}$ at 300 K) derived from its polar structure. Our findings provide chemical and structural selection guidelines to aid in the search of new NCS metals with enhanced thermopower anisotropy.