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論文

Neutron scattering study of antiferromagnet U$$_{2}$$Pt$$_{6}$$Al$$_{15}$$

太田 玖吾*; 松本 裕司*; 渡部 悠貴*; 金子 耕士; 田端 千紘; 芳賀 芳範

New Physics; Sae Mulli, 73(12), p.1170 - 1173, 2023/12

ハニカム格子を持つ反強磁性体U$$_{2}$$Pt$$_{6}$$Al$$_{15}$$の磁気構造を決定するために中性子散乱実験を行った。U$$_{2}$$Pt$$_{6}$$Al$$_{15}$$$$T_{rm m1}$$=9Kと$$T_{rm m2}$$=26Kで二つの相転移を示す。$$T_{rm m1}$$ $$<$$ $$T$$ $$<$$ $$T_{rm m2}$$の第一相では、$$kappa$$$$_{rm I}$$=(1/3, 0, 0)の伝搬ベクトルで記述される磁気反射が観測された。$$T$$$$<$$$$T_{rm m1}$$のフェーズIIでは、$$kappa$$$$_{rm I}$$=(1/3, 0, 0)と$$kappa$$$$_{rm II}$$=(1/2, 0, 0)の磁気反射が観測され、$$kappa$$$$_{rm I}$$=(1/3, 0, 0)の磁気反射強度は弱いが有限であった。温度依存強度のヒステリシスは$$T_{rm m1}$$での相転移にまたがって観測され、$$T_{rm m1}$$での転移が1次転移であることを示唆している。

論文

Field-tuned quantum renormalization of spin dynamics in the honeycomb lattice Heisenberg antiferromagnet YbCl$$_3$$

Sala, G.*; Stone, M. B.*; Hal$'a$sz, G. B.*; Lumsden, M. D.*; Fay, A, F,*; Pajerowski, D. M.*; 河村 聖子; 金子 耕士; Mazzone, D. G.*; Simutis, G.*; et al.

Communications Physics (Internet), 6, p.234_1 - 234_7, 2023/08

We demonstrate and elucidate quantum effects on the honeycomb lattice through comprehensive inelastic neutron scattering measurements of the prototype honeycomb lattice quantum magnet YbCl$$_{3}$$ as a function of applied magnetic field. Examining the spectrum above the saturation field where linear spin-wave theory is essentially exact, we accurately determine the dominant nearest-neighbor Heisenberg interaction. Below the saturation field, we reveal a field-dependent energy renormalization of the entire magnetic spectrum; the sharp spin-wave modes as well as the multimagnon continuum. This renormalization is a quantum effect that can be accurately captured by the first 1=S correction in nonlinear spin-wave theory. Furthermore, we find that the application of a magnetic field induces a qualitatively new sharp feature inside the multimagnon continuum; the lower edge of a specific two-magnon component; which is complementary to the previously observed Van Hove singularity and demonstrates that structures within the multimagnon continuum can occur over a wide experimental parameter space and can be used as an additional means of identifying quantum phenomena.

論文

Effect of starch retrogradation on molecular dynamics of cooked rice by quasi-elastic neutron scattering

平田 芳信*; 中川 洋; 山内 宏樹; 金子 耕士; 萩原 雅人; 山口 秀幸*; 大元 智絵*; 勝野 那嘉子*; 今泉 鉄平*; 西津 貴久*

Food Hydrocolloids, 141, p.108728_1 - 108728_7, 2023/08

結晶化度は食品や材料の機械的性質に反映される。結晶化度は澱粉の構造ダイナミクスと関係しているはずである。本研究では、中性子準弾性散乱(QENS)を用いて、炊飯澱粉の老化に伴う分子ダイナミクスの変化を調べた。測定されたQENSの幅は老化に伴い狭くなった。また、弾性非干渉散乱構造因子(EISF)は増加し、老化現象に伴い分子ダイナミクスが空間的に抑制されることが示された。低移動度と高移動度をそれぞれ結晶相と非晶質相に対応させた2値分布の連続拡散モデルを用いてEISFを解析したところ、低移動度成分の割合が老化によって増加することが示された。

論文

Incommensurate nature of the antiferromagnetic order in GdCu$$_2$$

金子 耕士; 田端 千紘; 萩原 雅人; 山内 宏樹; 久保田 正人; 長壁 豊隆; 大貫 惇睦*

Journal of the Physical Society of Japan, 92(8), p.085001_1 - 085001_2, 2023/08

 被引用回数:0 パーセンタイル:0(Physics, Multidisciplinary)

A magnetic order in orthorhombic GdCu$$_2$$ was investigated by a single crystal neutron diffraction with thermal neutron. Magnetic peaks were observed at incommensurate positions described by the ordering vector $$q$$=($${delta}$$~1~0) with $${delta}$$=0.678 at 4~K. This ordering vector is close to the commensurate one with $$q_c$$=(2/3~1~0) reported earlier, but clearly deviates. The incommensurate nature of the magnetic order in GdCu$$_2$$ is further corroborated by the peak shift with temperature below $$T_{rm N}$$.

論文

Neutron resonance absorption imaging of simulated high-level radioactive waste in borosilicate glass

大場 洋次郎; 元川 竜平; 金子 耕士; 永井 崇之; 土川 雄介; 篠原 武尚; Parker, J. D.*; 岡本 芳浩

Scientific Reports (Internet), 13, p.10071_1 - 10071_8, 2023/06

 被引用回数:0 パーセンタイル:0.01

The spatial distribution of constituent elements in borosilicate glasses containing simulated high-level radioactive liquid waste (HLLW) was investigated using neutron resonance absorption imaging. The resonance absorption dips of Rh, Pd, Na, Gd, Cs, and Sm were detected in the neutron transmission spectra of the glass samples. The neutron transmission images at the resonance energies of these elements provided the spatial distributions within the glass samples. Rh and Pd led sedimentation, while Gd, Sm, and Cs were uniformly dispersed. These results clearly show the potential of neutron resonance absorption imaging for characterizing borosilicate glasses.

論文

Phonon softening in Lu(Pt$$_{1-x}$$Pd$$_x$$)$$_2$$In close to a zero-temperature structural instability

Gruner, T.*; Lucas, S.*; Geibel, C.*; 金子 耕士; 筒井 智嗣*; Schmalzl, K.*; Stockert, O.*

Physical Review B, 106(11), p.115142_1 - 115142_6, 2022/09

 被引用回数:1 パーセンタイル:18.86(Materials Science, Multidisciplinary)

The disappearance of a charge-density-wave (CDW) transition in Lu(Pt$$_{1-x}$$Pd$$_x$$)$$_2$$In is thought to be closely linked to a maximum of the superconducting transition temperature in the system. We studied the superstructure and the phonon softening in Lu(Pt$$_{0.5}$$Pd$$_{0.5}$$)$$_2$$In by means of neutron and high-resolution inelastic X-ray scattering. A full phonon softening at $$q_{textrm{CDW}}$$ = (0.5, 0.5, 0) with the appearance of superstructure peaks could be clearly identified. The large tail of the superstructure intensity above the CDW transition indicates the importance of critical fluctuations.

論文

Gaps in topological magnon spectra; Intrinsic versus extrinsic effects

Do, S.-H.*; Paddison, J. A. M.*; Sala, G.*; Williams, T. J.*; 金子 耕士; 桑原 慶太郎*; May, A. F.*; Yan, J.*; McGuire, M. A.*; Stone, M. B.*; et al.

Physical Review B, 106(6), p.L060408_1 - L060408_6, 2022/08

 被引用回数:6 パーセンタイル:85.34(Materials Science, Multidisciplinary)

For topological magnon spectra, determining and explaining the presence or absence of a gap at a magnon crossing point is a central issue. An inelastic neutron scattering study of a single crystals is a powerful experimental technique to investigate the spin dynamics and hence is widely employed to probe the magnetic excitation spectra of topological materials. However, when the neutron intensity rapidly disperses, such as near a crossing point for a Dirac magnon, the apparent spectrum is extremely sensitive to experimental conditions including sample mosaic, resolution, and integration range. Here we study a gapless Dirac magnon candidate CrCl$$_{3}$$ to show how the quantification of a gapless or gaped spectrum at the Dirac point is extremely sensitive to the integration range of data. Our work calls for a careful examination of reports of gaps in inelastic neutron scattering spectra to ensure that topological gaps are not misdiagnosed or overestimated due to experimental factors.

論文

Cycloidal magnetic ordering in noncentrosymmetric EuIrGe$$_3$$

松村 武*; 塚越 舜*; 上田 祥央*; 比嘉 野乃花*; 中尾 朗子*; 金子 耕士; 垣花 将司*; 辺土 正人*; 仲間 隆男*; 大貫 惇睦*

Journal of the Physical Society of Japan, 91(7), p.073703_1 - 073703_5, 2022/07

 被引用回数:3 パーセンタイル:79.93(Physics, Multidisciplinary)

Successive magnetic phase transitions in EuIrGe$$_3$$, an intermetallic compound with a body centered tetragonal lattice belonging to a polar space group I4mm, has been investigated by neutron diffraction and resonant X-ray diffraction. It is shown that EuIrGe$$_3$$ exhibits an incommensurate longitudinal sinusoidalorder with $$q{sim}$$ (0, 0, 0.792) and m$$_q{parallel}$$ c-axis in the high temperature phase, which changes to a cycloidal order with $$q$$ = ($${delta}'$$, 0, 0.8) ($${delta}'{sim}$$ 0.017) and m$$_q{parallel}$$ ac-plane in the intermediate phase. In the low temperature phase, the cycloidal plane rotates by 45$$^{circ}$$ to have $$q$$=($${delta}, {delta}$$, 0.8) ($${delta}{sim}$$0.012). It is also pointed out that the X-ray scattering amplitude from odd-parity magnetic quadrupole due to the polar environment interfere with that from normal even-parity magnetic dipole in the magnetic ordered phase.

論文

Damped Dirac magnon in the metallic kagome antiferromagnet FeSn

Do, S.-H.*; 金子 耕士; 梶本 亮一; 蒲沢 和也*; Stone, M. B.*; Lin, J. Y. Y.*; 伊藤 晋一*; 益田 隆嗣*; Samolyuk, G. D.*; Dagotto, E.*; et al.

Physical Review B, 105(18), p.L180403_1 - L180403_6, 2022/05

 被引用回数:9 パーセンタイル:88.93(Materials Science, Multidisciplinary)

We report inelastic neutron scattering studies of the prototypical kagome magnetic metal FeSn. The spectra display well defined spin waves extending up to 120 meV. Above this energy, the spin waves become progressively broadened, reflecting interactions with the Stoner continuum. Using linear spin wave theory, we determine an effective spin Hamiltonian that explains the measured dispersion. This analysis indicates that the Dirac magnon at the K point occurs on the brink of a region where well defined spin waves become unobservable. Our results emphasize the influential role of itinerant carriers on the topological spin excitations of metallic kagome magnets.

論文

Square and rhombic lattices of magnetic skyrmions in a centrosymmetric binary compound

高木 里奈*; 松山 直文*; Ukleev, V.*; Yu, L.*; White, J. S.*; Francoual, S.*; Mardegan, J. R. L.*; 速水 賢*; 齋藤 開*; 金子 耕士; et al.

Nature Communications (Internet), 13, p.1472_1 - 1472_7, 2022/03

 被引用回数:32 パーセンタイル:99.61(Multidisciplinary Sciences)

Magnetic skyrmions are topologically stable swirling spin textures with particle-like character, and have been intensively studied as a candidate of high-density information bit. While magnetic skyrmions were originally discovered in noncentrosymmetric systems, recently a nanometric skyrmion lattice has also been reported for centrosymmetric rare-earth compounds. For the latter systems, a novel skyrmion formation mechanism mediated by itinerant electrons has been proposed, and the search of a simpler model system allowing for a better understanding of their intricate magnetic phase diagram is highly demanded. Here, we report the discovery of square and rhombic lattices of nanometric skyrmions in a centrosymmetric binary compound EuAl$$_4$$, by performing small-angle neutron and resonant elastic X-ray scattering experiments. Unlike previously reported centrosymmetric skyrmion-hosting materials, EuAl$$_4$$ shows multiple-step reorientation of the fundamental magnetic modulation vector as a function of magnetic field, probably reflecting a delicate balance of associated itinerant-electron-mediated interactions. The present results demonstrate that a variety of distinctive skyrmion orders can be derived even in a simple centrosymmetric binary compound, which highlights rare-earth intermetallic systems as a promising platform to realize/control the competition of multiple topological magnetic phases in a single material.

論文

Nanoscopic structure of borosilicate glass with additives for nuclear waste vitrification

元川 竜平; 金子 耕士; 大場 洋次郎; 永井 崇之; 岡本 芳浩; 小林 大志*; 熊田 高之; Heller, W. T.*

Journal of Non-Crystalline Solids, 578, p.121352_1 - 121352_7, 2022/02

 被引用回数:3 パーセンタイル:23.99(Materials Science, Ceramics)

We investigated the nanoscopic structure of borosilicate glasses as a host for high-level radioactive liquid waste (HLLW) in the presence of the additives Na$$_{2}$$O and CaO/ZnO with and without Li$$_{2}$$O. These additives have been practically used to lower the glass melting point, suppress the macroscopic phase separation, and increase the chemical durability of glasses. Small-angle neutron scattering was used to elucidate the effect of the additives on the nanoscopic structure along with macro- and atomic-scale observations obtained using neutron imaging and X-ray diffraction, respectively. The borosilicate glass formed a microphase-separated structure of SiO$$_{2}$$- and B$$_{2}$$O$$_{3}$$-rich domains approximately 100 nm in size in the absence of Na$$_{2}$$O, even in a structure homogeneous on a millimeter scale, and the domain spacing decreased with increasing Na$$_{2}$$O content rate. The CaO/ZnO additives induced inhomogeneities, such as void structures several nanometers in size, although the inhomogeneity was suppressed by the coaddition of Li$$_{2}$$O. These results provide insights into the performance of host glasses for HLLW vitrification; incorporating HLLW into glasses is likely to cause changes in the nanoscopic structure of host glasses similar to those revealed here.

論文

Feedback of superconductivity on the magnetic excitation spectrum of UTe$$_{2}$$

Raymond, S.*; Knafo, W.*; Knebel, G.*; 金子 耕士; Brison, J.-P.*; Flouquet, J.*; 青木 大*; Lapertot, G.*

Journal of the Physical Society of Japan, 90(11), p.113706_1 - 113706_5, 2021/11

 被引用回数:10 パーセンタイル:82.13(Physics, Multidisciplinary)

We investigate the spin dynamics in the superconducting phase of UTe$$_2$$ by triple-axis inelastic neutron scattering on a single crystal sample. At the wave-vector $$k_1$$ = (0, 0.57, 0), where the normal state antiferromagnetic correlations are peaked, a modification of the excitation spectrum is evidenced, on crossing the superconducting transition, with a reduction of the relaxation rate together with the development of an inelastic peak at $${Omega} approx$$ 1 meV. The low dimensional nature and the a-axis polarization of the fluctuations, that characterise the normal state, are essentially maintained below Tsc. The high ratio of $${Omega}$$ $$k_{rm B}$$$$T$$$$_{sc}$$ $$approx$$ 7.2 contrasts with the most common behaviour in heavy fermion superconductors.

論文

Lattice dynamics in CePd$$_2$$Al$$_2$$ and LaPd$$_2$$Al$$_2$$

Dole$v{z}$al, P.*; Cejpek, P.*; 筒井 智嗣*; 金子 耕士; Legut, D.*; Carva, K.*; Javorsk$'y$, P.*

Scientific Reports (Internet), 11(1), p.20878_1 - 20878_10, 2021/10

 被引用回数:0 パーセンタイル:0(Multidisciplinary Sciences)

The interaction between phonons and 4f electrons, which is forming a new quantum state (quasi-bound state) beyond Born-Oppenheimer approximation, is very prominent and lattice dynamics plays here a key role. There is only a small number of compounds in which the experimental observation suggest such a scenario. One of these compounds is CePd$$_2$$Al$$_2$$. The inelastic X-ray scattering technique was used for mapping the phonon modes at X and Z points as well as in L and D directions, where the symmetry analysis of phonon modes was performed. The measured spectra are compared with the theoretical calculation, showing very good agreement. The results are discussed with respect to the magneto-elastic interaction. The phonon mode symmetry A1g was found to be unaffected by the interaction, which is in contrast to previous assumptions.

論文

Low-dimensional antiferromagnetic fluctuations in the heavy-fermion paramagnetic ladder compound UTe$$_{2}$$

Knafo, W.*; Knebel, G.*; Steffens, P.*; 金子 耕士; Rosuel, A.*; Brison, J.-P.*; Flouquet, J.*; 青木 大*; Lapertot, G.*; Raymond, S.*

Physical Review B, 104(10), p.L100409_1 - L100409_6, 2021/09

 被引用回数:33 パーセンタイル:95.03(Materials Science, Multidisciplinary)

Inelastic-neutron-scattering measurements were performed on a single crystal of the heavy-fermion paramagnet UTe$$_{2}$$ above its superconducting temperature. We confirm the presence of antiferromagnetic fluctuations with the incommensurate wave-vector $${bf K}_{1}$$ = (0, 0.57, 0). A quasielastic signal is found, whose momentum-transfer dependence is compatible with fluctuations of magnetic moments $$mu$$ $$||$$ ${bf a}$, with a sine-wave modulation of wave-vector $${bf K}_{1}$$ and in-phase moments on the nearest U atoms. Low dimensionality of the magnetic fluctuations, consequence of the ladder structure, is indicated by weak correlations along the direction ${bf c}$. These results constitute constraints for models of magnetically-mediated superconductivity in UTe$$_{2}$$.

論文

Charge-density-wave order and multiple magnetic transitions in divalent europium compound EuAl$$_4$$

金子 耕士; 川崎 卓郎; 仲村 愛*; 宗像 孝司*; 中尾 朗子*; 花島 隆泰*; 鬼柳 亮嗣; 大原 高志; 辺土 正人*; 仲間 隆男*; et al.

Journal of the Physical Society of Japan, 90(6), p.064704_1 - 064704_6, 2021/06

 被引用回数:28 パーセンタイル:95.73(Physics, Multidisciplinary)

Multiple transition phenomena in divalent Eu compound EuAl$$_4$$ with the tetragonal structure were investigated via single crystal time-of-flight neutron Laue technique. At 30 K below a charge-density-wave (CDW) transition, superlattice peaks emerge near nuclear Bragg peaks described by an ordering vector $$q_{rm CDW}$$ = (0 0 $${delta}_c$$). In contrast, magnetic peaks appear at $$q_2 = ({delta}_2 {delta}_2 0)$$ with $${delta}_2$$ = 0.09 below $$T_{N1}$$ = 15.4 K, and moves to $$q_1 = ({delta}_1 0 0)$$ with $${delta}_1$$ = 0.19 below $$T_{N3}$$ =12.2 K, whereas no distinct change in the magnetic Bragg peak was detected at $$T_{N2}$$ and $$T_{N4}$$. The structural modification with $$q_{rm CDW}$$ is characterized by an absence of the superlattice peak in (0 0 $$l$$). Considering an absence of splitting in magnetic peaks along $$l$$, the structural transition is mainly ascribed to a displacement of Al ions within the tetragonal $$ab$$-plane. Complex incommensurate magnetic transitions are in stark contrast to a simple collinear commensurate structure in isovalent EuGa$$_4$$. This could stem from incompatible electronic structures with the CDW transition between two compounds.

論文

4f電子系化合物EuPtSiで実現する磁気スキルミオン格子

金子 耕士; 垣花 将司*; 辺土 正人*; 仲間 隆男*; 大貫 惇睦*

波紋, 30(3), p.160 - 165, 2020/08

MnSiと同じ空間群に属する4$$f$$電子系化合物EuPtSiについて、磁気特性を調べた。単結晶中性子回折実験の結果、MnSiとEuPtSiの磁気構造に多くの共通点を見出した。この結果は、EuPtSiが4$$f$$電子系で初めて磁気スキルミオン格子を示す物質であることを示している。

論文

Nature of structural instabilities in superconducting Sr$$_3$$Ir$$_4$$Sn$$_{13}$$

金子 耕士; Cheung, Y. W.*; Hu, Y.*; 今井 正樹*; 谷奥 泰明*; 金川 響*; 村川 譲一*; 森山 広大*; Zhang, W.*; Lai, K. T.*; et al.

JPS Conference Proceedings (Internet), 30, p.011032_1 - 011032_6, 2020/03

A quantum critical point appears as a second-order phase transition which takes place at zero temperature. In contrast to heavy-fermion systems in which magnetism often plays a vital role, recent studies revealed that structural instabilities can drive a system to a quantum critical point as well. In quasi-skutterudite (Ca,Sr)$$_3T_4$$Sn$$_{13}$$ ($$T$$=Rh, Ir), Sr$$_3$$Ir$$_4$$Sn$$_{13}$$ exhibits superconductivity around $$T_{rm sc}$$$${sim}$$5 K and a structural transition at $$T^*{simeq}$$147 K. Applying physical or chemical pressure on Sr$$_3$$Ir$$_4$$Sn$$_{13}$$ suppresses $$T^*$$ rapidly, and a quasi-linear $$T$$ dependence of electrical resistivity, signature of non-Fermi liquid behavior, was observed where $$T^*$$ extrapolates to 0 K. The isomorphs (Ca$$_x$$Sr$$_{1-x}$$)$$_3$$Rh$$_4$$Sn$$_{13}$$ exhibits similar behavior, where the criticality can be reached by $$x{sim}$$0.9 without external pressure. Neutron scattering experiments in Sr$$_3$$Ir$$_4$$Sn$$_{13}$$ evidences the second order nature of the structural transition at $$T^*$$ by the observation of a continuous evolution of superlattice peak below $$T^*$$ and a gradual increase of critical scattering upon approaching to $$T^*$$ by cooling. Increase of $$x$$ in (Ca$$_x$$Sr$$_{1-x}$$)$$_3$$Rh$$_4$$Sn$$_{13}$$ toward the quantum critical point leads to the systematic variation of the critical exponents of the order parameter. In addition, this substitution induces the phonon softening around the M point towards zero energy revealed by inelastic X-ray scattering experiment. We will present systematic variations in both elastic and inelastic channels upon approaching to the quantum critical point.

論文

Multi-step magnetic transitions in EuNiIn$$_4$$

池田 修悟*; 金子 耕士; 田中 佑季*; 川崎 卓郎; 花島 隆泰*; 宗像 孝司*; 中尾 朗子*; 鬼柳 亮嗣; 大原 高志; 望月 健生*; et al.

Journal of the Physical Society of Japan, 89(1), p.014707_1 - 014707_7, 2020/01

 被引用回数:0 パーセンタイル:12.26(Physics, Multidisciplinary)

Magnetism in EuNiIn$$_4$$ has been studied by specific heat, magnetic susceptibility, magnetization, $$^{151}$$Eu M$"o$ssbauer spectroscopy, and neutron diffraction experiments. The specific heat shows two magnetic transitions at $$T_{rm N1}$$ and $$T_{rm N2}$$ at zero magnetic field. An antiferromagnetic ground state of EuNiIn$$_4$$ has a uniaxial magnetic anisotropy along the b-axis, revealed by the magnetic susceptibility and the M$"o$ssbauer spectroscopy. Single crystal neutron diffraction experiments clarify that this antiferromagnetic structure in the ground state is characterized by the commensurate propagation vector $$q$$ = (1/2, 1/2, 1/2) which reveals no distinct anomaly at $$T_{rm N2}$$. The magnetization curve along the b-axis at 2 K shows four successive magnetic field-induced transitions up to 50 kOe and, reaches 7 $${mu}_{rm B}$$/f.u. above 190 kOe, The magnetic phase diagram in EuNiIn$$_4$$ has unique characteristics with five magnetic states in low magnetic field.

論文

4$$f$$電子系化合物EuPtSiにおける磁気スキルミオン

金子 耕士; 垣花 将司*; 辺土 正人*; 仲間 隆男*; 大貫 惇睦*

固体物理, 54(12), p.757 - 766, 2019/12

MnSiと同じ空間群に属する4$$f$$電子系化合物EuPtSiについて、磁気特性を調べた。単結晶中性子回折実験の結果、MnSiとEuPtSiの磁気構造に多くの共通点を見出した。この結果は、EuPtSiが4$$f$$電子系で初めて磁気スキルミオン格子を示す物質であることを示している。

論文

単結晶中性子回折を利用した精密構造解析

金子 耕士

日本結晶学会誌, 61(4), p.237 - 242, 2019/12

Neutron and X-ray are complementary probes for structural study. Whereas X-ray is superior in terms of brilliance and resolution in general, neutron diffraction has better spatial resolution reflecting the difference in scattering medium; electron and nuclei for X-ray and neutron, respectively. This difference results in the fact that neutron diffraction has higher sensitivity to probe thermal vibration and off-center potential in a crystal. Here, as an example, we will show single crystal neutron diffraction study on "rattling" in rare-earth based filled skutterudite compounds.

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