Mechanism of the Magnetic and Speciﬁc-heat Anomalies in Rare-earth Dodecaborides RB12 (R=Tb-Tm): an Effect of Crystal-ﬁeld-splitting Order Parameter

Jingsan HU; Jianfei GU; Weiyi ZHANG

doi:10.15541/jim20200623

Journals >Journal of Inorganic Materials >Volume 36 >Issue 8 >Page 865 > Article

Journal of Inorganic Materials
Vol. 36, Issue 8, 865 (2021)

Mechanism of the Magnetic and Speciﬁc-heat Anomalies in Rare-earth Dodecaborides RB₁₂ (R=Tb-Tm): an Effect of Crystal-ﬁeld-splitting Order Parameter

Jingsan HU¹, Jianfei GU¹, and Weiyi ZHANG^1,2,*

Author Affiliations

¹1. School of Physics, Nanjing University, Nanjing 210093, China

²2. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China

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DOI: 10.15541/jim20200623 Cite this Article

Jingsan HU, Jianfei GU, Weiyi ZHANG. Mechanism of the Magnetic and Speciﬁc-heat Anomalies in Rare-earth Dodecaborides RB₁₂ (R=Tb-Tm): an Effect of Crystal-ﬁeld-splitting Order Parameter [J]. Journal of Inorganic Materials, 2021, 36(8): 865 Copy Citation Text

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1. Schematic diagram of crystal-levels

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Level scheme of 4f-orbitals of rare-earth ions in hole picture (a), and the measured and ﬁtted TC of RB12 (b)

2. Level scheme of 4f-orbitals of rare-earth ions in hole picture (a), and the measured and ﬁtted T_C of RB₁₂ (b)

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3. Magnetic susceptibilities (a) and speciﬁc heat (b) of RB₁₂ as functions of temperature

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RB₁₂	TbB₁₂	DyB₁₂	HoB₁₂	ErB₁₂	TmB₁₂
a/(0.1 nm)	7.503	7.500	7.491	7.483	7.475
$\langle {{r}^{4}}\rangle $/(×10^-4, nm⁴)	0.1295	0.1180	0.1081	0.09959	0.09206
$\langle {{r}^{6}}\rangle $/(×10^-6, nm⁶)	0.1505	0.1328	0.1181	0.1058	0.09530
$\text{ }\!\!\Delta\!\!\text{ }_{1}^{0}$/meV	7.53	6.36	6.36	5.90	5.49
$\text{ }\!\!\Delta\!\!\text{ }_{2}^{0}$/meV	14.22	12.99	11.97	11.09	10.31

Table 1. Lattice constant,〈rⁿ〉of rare-earth R and crystal-ﬁeld-splitting energy of RB₁₂

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RB₁₂	${{\theta }_{\text{D}}}$/K	$\text{ }\!\!\Delta\!\!\text{ }_{1}^{0}$/meV	$\text{ }\!\!\Delta\!\!\text{ }_{2}^{0}$/meV	${{T}_{\text{C}}}(\text{Cal}.)$/K	${{T}_{\text{C}}}(\text{Exp}.)$/K^[12]
TbB₁₂	377	10.66	20.21	22.69	22.05
DyB₁₂	375	9.42	17.81	16.61	16.35
HoB₁₂	374	7.63	14.38	10.69	7.38
ErB₁₂	372	6.24	11.74	6.52	6.65
TmB₁₂	371	5.07	9.51	3.51	3.28