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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2605.12962 |
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| _version_ | 1866911679337463808 |
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| author | Haraguchi, Yuya |
| author_facet | Haraguchi, Yuya |
| contents | We report magnetization and heat-capacity measurements on the ordered-spinel oxide Li$_2$NiGe$_3$O$_8$, where Ni$^{2+}$ ions with $S = 1$ form a single three-dimensional trillium lattice. Powder x-ray diffraction confirms a cubic ordered-spinel structure with space group $P4_{1}32$ or $P4_{3}32$. The inverse susceptibility $H/M$ follows Curie--Weiss behavior above 50 K with an effective magnetic moment $μ_{\mathrm{eff}} = 3.124(4)\,μ_{\mathrm{B}}$ per Ni and a Weiss temperature $θ_{\mathrm{W}} = -0.21(1)$ K, but deviates smoothly below about 10 K. The magnetic heat capacity $C_{\mathrm{mag}}/T$ shows a broad maximum near 3 K with a wide tail to about 10 K, and the entropy recovered between 2 and 40 K is about 88% of $R \ln 3$. The broad heat-capacity maximum is compared with Monte Carlo results for the local ferromagnetic Ising model on the trillium lattice using a characteristic scale $J$ of order 7 K, while the inverse susceptibility shows only qualitative similarity to the theoretical curve. These results establish Li$_2$NiGe$_3$O$_8$ as a rare $S = 1$ single-trillium oxide with frustrated magnetic correlations. The present data provide an experimental platform for discussing the relation between Heisenberg-like and spin-ice-like regimes on the trillium lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12962 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Frustrated Magnetism of the $S = 1$ Trillium-Lattice Oxide Li$_2$NiGe$_3$O$_8$ Haraguchi, Yuya Strongly Correlated Electrons Materials Science We report magnetization and heat-capacity measurements on the ordered-spinel oxide Li$_2$NiGe$_3$O$_8$, where Ni$^{2+}$ ions with $S = 1$ form a single three-dimensional trillium lattice. Powder x-ray diffraction confirms a cubic ordered-spinel structure with space group $P4_{1}32$ or $P4_{3}32$. The inverse susceptibility $H/M$ follows Curie--Weiss behavior above 50 K with an effective magnetic moment $μ_{\mathrm{eff}} = 3.124(4)\,μ_{\mathrm{B}}$ per Ni and a Weiss temperature $θ_{\mathrm{W}} = -0.21(1)$ K, but deviates smoothly below about 10 K. The magnetic heat capacity $C_{\mathrm{mag}}/T$ shows a broad maximum near 3 K with a wide tail to about 10 K, and the entropy recovered between 2 and 40 K is about 88% of $R \ln 3$. The broad heat-capacity maximum is compared with Monte Carlo results for the local ferromagnetic Ising model on the trillium lattice using a characteristic scale $J$ of order 7 K, while the inverse susceptibility shows only qualitative similarity to the theoretical curve. These results establish Li$_2$NiGe$_3$O$_8$ as a rare $S = 1$ single-trillium oxide with frustrated magnetic correlations. The present data provide an experimental platform for discussing the relation between Heisenberg-like and spin-ice-like regimes on the trillium lattice. |
| title | Frustrated Magnetism of the $S = 1$ Trillium-Lattice Oxide Li$_2$NiGe$_3$O$_8$ |
| topic | Strongly Correlated Electrons Materials Science |
| url | https://arxiv.org/abs/2605.12962 |