Paramagnetic electron-nuclear spin entanglement in HoCoZn

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 HoCoZn. 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 magnetic moment and the Ho nuclear spin. Our results show that the 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 -electron effective spin and the Ho nuclear spin . 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.