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Spin-orbit coupling induced semi-metallic state in the 1/3 hole-doped hyper-kagome Na$$_3$$Ir$$_3$$O$$_8$$

1/3ホールドープされたハイパーカゴメNa$$_3$$Ir$$_3$$O$$_8$$におけるスピン軌道結合に誘起された半金属状態

高山 知弘*; Yaresko, A.*; 松本 章代*; Nuss, J.*; 石井 賢司; 吉田 雅洋*; 水木 純一郎; 高木 英典*

Takayama, Tomohiro*; Yaresko, A.*; Matsumoto, Akiyo*; Nuss, J.*; Ishii, Kenji; Yoshida, Masahiro*; Mizuki, Junichiro; Takagi, Hidenori*

The complex iridium oxide Na$$_3$$Ir$$_3$$O$$_8$$ with a B-site ordered spinel structure was synthesized in single crystalline form, where the chiral hyper-kagome lattice of Irions, as observed in the spin-liquid candidate Na$$_4$$Ir$$_3$$O$$_8$$, was identified. The average valence of Ir is 4.33+ and, therefore, Na$$_3$$Ir$$_3$$O$$_8$$ can be viewed as a doped analogue of the hyper-kagome spin liquid with Ir$$^{4+}$$. The transport measurements, combined with the electronic structure calculations, indicate that the ground state of Na$$_3$$Ir$$_3$$O$$_8$$ is a low carrier density semi-metal. We argue that the semi-metallic state is produced by a competition of the molecular orbital splitting of $$t_{2g}$$ orbitals on Ir$$_3$$ triangles with strong spin-orbit coupling inherent to heavy Ir ions.

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