Abstract
The interplay of nonlocal Coulomb repulsion and Hund's coupling in the $d$-orbital manifold in frustrated triangular lattices is analyzed by a multiband extended Hubbard model. We find a rich phase diagram with several competing phases, including a robust pinball liquid phase, which is an unconventional metal characterized by threefold charge order, bad metallic behavior, and the emergence of high-spin local moments. Our results naturally explain the anomalous charge-ordered metallic state observed in the triangular layered compound ${\mathrm{AgNiO}}_{2}$. The potential relevance to other triangular transition-metal oxides is discussed.
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