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Paramagnetic electron-nuclear spin entanglement in HoCo$$_2$$Zn$$_{20}$$

HoCo$$_2$$Zn$$_{20}$$における常磁性電子-核スピンもつれ

北澤 崇文  ; 志村 恭通*; 鬼丸 孝博*; 土田 駿*; 久保 勝規 ; 芳賀 芳範   ; 酒井 宏典   ; 常盤 欣文  ; 神戸 振作  ; 徳永 陽  

Kitazawa, Takafumi; Shimura, Yasuyuki*; Onimaru, Takahiro*; Tsuchida, Shun*; Kubo, Katsunori; Haga, Yoshinori; Sakai, Hironori; Tokiwa, Yoshifumi; Kambe, Shinsaku; Tokunaga, Yo

We investigated electron-nuclear spin entanglement in the paramagnetic ground state of the Ho-based cubic compound HoCo$$_2$$Zn$$_{20}$$. From analyses of magnetization and specific heat data, we determined the cubic crystalline electric field (CEF) parameters, the magnetic exchange constant, and the hyperfine coupling constant between the 4$$f$$ magnetic moment and the $$^{165}$$Ho nuclear spin. Our results show that the $$Gamma_5$$ CEF ground state is split by the hyperfine coupling, with an energy width of 1.3~K at 0~T, and that the true paramagnetic ground state is a quasi-sextet arising primarily from entanglement between the $$f$$-electron effective spin $$S = 1$$ and the $$^{165}$$Ho nuclear spin $$I = 7/2$$. We further demonstrate that, depending on the CEF parameters, the paramagnetic ground state can switch to an electron-nuclear coupled dectet. These findings underscore the importance of accurately identifying the electron-nuclear level scheme for understanding the low-temperature properties of rare-earth compounds containing spin-active nuclei.

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