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Local electronic structure and dynamics of hydrogen in CeO$$_2$$

幸田 章宏*; 伊藤 孝   ; 平石 雅俊*; 岡部 博孝*; 門野 良典*

Koda, Akihiro*; Ito, Takashi; Hiraishi, Masatoshi*; Okabe, Hirotaka*; Kadono, Ryosuke*

The local electronic states of muon (Mu) as an isotope of hydrogen (H) in high-quality single-crystalline ceria (CeO$$_2$$) are investigated using muon spin rotation/relaxation ($$mu$$SR) and first-principles density functional theory (DFT) calculations. Upon positive muon implantation, both paramagnetic (Mu$$^0$$) and diamagnetic (Mu$$^*$$) states are observed below $$approx$$10 K. Magnetic field dependence of the Mu$$^0$$ signals combined with DFT results provides evidence for the formation of a polaron state, consisting of Mu bonded to a ligand oxygen and a 4$$f$$ electron localized on a nearby Ce site. The crystal-orientation dependence of the Mu$$^0$$ signal suggests strong anisotropy of the 4$$f$$ electron due to the spin-orbit coupling with lifted degeneracy. Furthermore, the Mu$$^0$$ state exhibits transition to the Mu$$^*$$ state that corresponds to another Mu$$^0$$ state (exhibiting a diamagnetic response due to fast spin/charge fluctuations) at temperatures above $$approx$$10 K, before disappearing above $$approx$$30 K. These findings suggest rapid diffusive motion of the 4$$f$$ electrons and/or Mu (as well as H) at higher temperatures.

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