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Chin. Phys. B, 2024, Vol. 33(6): 064301    DOI: 10.1088/1674-1056/ad35af
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Non-Kramers doublet ground state in a quaternary cubic compound PrRu2In2Zn18 investigated by ultrasonic measurements

Hua-Yuan Zhang(张化远), Kazuhei Wakiya, Mitsuteru Nakamura, Masahito Yoshizawa, and Yoshiki Nakanish†
Graduate School of Science and Engineering, Iwate University, Morioka 020-8551, Japan
Abstract  We performed ultrasonic measurements on a quaternary cubic compound PrRu$_{2}$In$_{2}$Zn$_{18}$ to explore the ground state properties derived from non-Kramers $\Gamma_{3}$ doublet of Pr$^{3+}$. PrRu$_{2}$In$_{2}$Zn$_{18}$ is a quaternary derivative of the ternary compound PrRu$_{2}$Zn$_{20}$ that exhibits a structural phase transition at $T_{\rm S} = 138 $K. In PrRu$_{2}$In$_{2}$Zn$_{18}$, the Zn atoms at the 16$c$ site in PrRu$_{2}$Zn$_{20}$ are selectively replaced by In atoms. A monotonic increase was observed in the temperature dependence of elastic constants $C_{\rm L} = (C_{11}+2C_{12}+4C_{44})/3$ and $C_{\rm T} = (C_{11}-C_{12}+C_{44})/3$ in the temperature range around $T_{\rm S}$ to which an elastic softening was observed in $(C_{11}-C_{12})/2$ for PrRu$_2$Zn$_{20}$. The disappearance of the softening indicates that the structural transition in PrRu$_2$Zn$_{20}$ is suppressed by the substitution of Zn ions by In ones with a larger ionic radius. Alternatively, the $C_{\rm T}$ of PrRu$_{2}$In$_{2}$Zn$_{18}$ exhibits a precursor Curie-type elastic softening toward low temperatures being responsible for the non-Kramers $\Gamma_{3}$ ground state. We discuss the ground state and the evolution of the elastic properties of the different single-crystal samples of PrRu$_{2}$In$_{2}$Zn$_{18}$ grown under different conditions.
Keywords:  ultrasonic measurements      non-Kramers doublet      structural phase transition      crystalline electric field effect  
Received:  11 December 2023      Revised:  18 March 2024      Accepted manuscript online:  20 March 2024
PACS:  43.35.Cg (Ultrasonic velocity, dispersion, scattering, diffraction, and Attenuation in solids; elastic constants)  
  76.60.Gv (Quadrupole resonance)  
  82.35.Jk (Copolymers, phase transitions, structure)  
  75.10.Dg (Crystal-field theory and spin Hamiltonians)  
Fund: Project supported by the Soft-Path Science and Engineering Research Center (SPERC), Iwate University, and the JSPS KAKENHI (Grant Nos. JP18K03530, JP21K04622, and JP21K13869).
Corresponding Authors:  Yoshiki Nakanish     E-mail:  yoshiki@iwate-u.ac.jp

Cite this article: 

Hua-Yuan Zhang(张化远), Kazuhei Wakiya, Mitsuteru Nakamura, Masahito Yoshizawa, and Yoshiki Nakanish Non-Kramers doublet ground state in a quaternary cubic compound PrRu2In2Zn18 investigated by ultrasonic measurements 2024 Chin. Phys. B 33 064301

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