Charge disproportionation without charge transfer in the rare-earth nickelates as a possible mechanism for the metal-insulator transition

Abstract

We study a model for the metal-insulator (MI) transition in the rare-earth nickelates RNiO${}_3$, based upon a negative charge transfer energy and coupling to a rock-salt like lattice distortion of the NiO${}_6$ octahedra. Using exact diagonalization and the Hartree-Fock approximation we demonstrate that electrons couple strongly to these distortions. For small distortions the system is metallic, with ground state of predominantly $d^8\ligand$ character, where $\ligand$ denotes a ligand hole. For sufficiently large distortions ($\delta d_{\mathrm{Ni}-\mathrm{O}}\sim 0.05-0.10\mathring{A}$), however, a gap opens at the Fermi energy as the system enters a periodically distorted state alternating along the three crystallographic axes, with $(d^8\ligand^2)_{S=0}(d^8)_{S=1}$ character, where $S$ is the total spin. Thus the MI transition may be viewed as being driven by an internal volume "collapse" where the NiO${}_6$ octahedra with two ligand holes shrink around their central Ni, while the remaining octahedra expand accordingly, resulting in the ($1/2,1/2,1/2$) superstructure observed in x-ray diffraction in the insulating phase. This insulating state is an example of a new type of charge ordering achieved without any actual movement of the charge.

7 pages with supplement. Submitted to PRL

References in corpus (4)

• Orbital order and possible superconductivity in LaNiO3/LaMO3 superlattices
• Confinement-induced metal-to-insulator transition in strained LaNiO${}_3$/LaAlO${}_3$ superlattices
• Ordering and multiple phase transitions in ultra-thin nickelate superlattices
• Electron-phonon interaction in the three-band model

Cited by in corpus (130)

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