The crucial importance of the $t_{2g}$--$e_g$ hybridization in transition metal oxides

Abstract

We studied the influence of the trigonal distortion of the regular octahedron along the (111) direction, found in the $\mathrm{Co}{\mathrm{O}}_2$ layers. Under such a distortion the $t_{2g}$ orbitals split into one $a_{1g}$ and two degenerated $e_g^{\prime }$ orbitals. We focused on the relative order of these orbitals. Using quantum chemical calculations of embedded clusters at different levels of theory, we analyzed the influence of the different effects not taken into account in the crystalline field theory; that is metal-ligand hybridization, long-range crystalline field, screening effects and orbital relaxation. We found that none of them are responsible for the relative order of the $t_{2g}$ orbitals. In fact, the trigonal distortion allows a mixing of the $t_{2g}$ and $e_g$ orbitals of the metallic atom. This hybridization is at the origin of the $a_{1g}$--$e_g^{\prime }$ relative order and of the incorrect prediction of the crystalline field theory.

References in corpus (4)

• Fermi surface and quasiparticle dynamics of Na(x)CoO2 {x=0.7} investigated by Angle-Resolved Photoemission Spectroscopy
• Fermi surface evolution and Luttinger theorem in Na${}_x$CoO${}_2$: a systematic photoemission study
• ARPES on Na${}_{0.6}$CoO${}_2$: Fermi surface, extended flat dispersion, and unusual band splitting
• An ab-initio evaluation of the local effective interactions in the superconducting compound $Na\_0.35CoO\_2-1.3H\_2O$

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• Dynamical mean field theory of an effective three-band model for Na${}_x$CoO${}_2$
• The origin of a${}_{1g}$ and e${}_g$' orderings in Na${}_x$CoO${}_2$
• s-wave Superconductivity due to Suhl-Kondo Mechanism in Na${}_x$CoO${}_2\cdot y$H${}_2$O: Effect of Coulomb Interaction and Trigonal Distortion
• Evidence of exchange-striction and charge disproportionation in the magneto-electric material Ni3TeO6
• Weak electronic correlations in the cobalt oxychalcogenide superconductor Na2CoSe2O