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論文

Antiferromagnetic order and crystalline electric field in noncentrosymmetric hexagonal $$RE$$Ru$$_6$$As$$_4$$ ($$RE$$ = Sm and Yb)

廣瀬 雄介; 津久井 拓樹*; 加藤 佑汰*; 庄野 里菜*; 本多 史憲*; 青木 大*; 摂待 力生*

Physical Review Materials (Internet), 10(8), p.084407_1 - 084407_8, 2026/08

 被引用回数:0

We investigated the electronic properties of $$RE$$Ru$$_6$$As$$_4$$ ($$RE$$ = La, Ce, Sm, and Yb) using single-crystalline samples grown by the Bi-flux method. These compounds crystallize in the non-centrosymmetric hexagonal LaCo$$_6$$P$$_4$$ -type structure, featuring both a chain and triangular arrangement of magnetic $$RE$$ ions. From the electrical resistivity, magnetic susceptibility, and specific heat measurements, we have found that SmRu$$_6$$As$$_4$$ $ and YbRu$_6$$As$$_4$$ order antiferromagnetically below the N$'e$el temperature of 1.5 and 9.5~K, respectively. Despite the relatively high transition temperature of YbRu$$_6$$As$$_4$$, its magnetic field-temperature phase diagram reveals that the antiferromagnetic state collapses at a low field of $$mu_0H_{rm C}$$~=~1.7~T, accompanied by a non-linear magnetization anomaly. The magnetization curve is similar to that of chiral helical magnets. The small critical field and characteristic magnetization curve in YbRu$$_6$$As$$_4$$ likely originate from magnetic frustration.

論文

NMR evidence for spontaneous electronic chiral order in URhSn

徳永 陽; 石飛 尊之; 酒井 宏典; 神戸 振作*; 播磨 尚朝*; 仲村 愛*; Maurya, A.*; Li, D.*; 本間 佳哉*; 本多 史憲*; et al.

Physical Review Letters, 137(4), p.046501_1 - 046501_6, 2026/07

 被引用回数:1

URhSn exhibits successive phase transitions at $$T_O$$ = 54 K and $$T_C$$ = 16 K. While the transition at $$T_C$$ is known to be ferromagnetic, the nature of the intermediate phase between $$T_O$$ and $$T_C$$ has remained elusive. Here, we report $$^{117}$$Sn nuclear magnetic resonance (NMR) measurements on high-quality single crystals of URhSn, which reveal NMR line splittings indicative of symmetry breaking in the intermediate phase. The field-direction and site dependences of these splittings are consistent with antiferroquadrupolar ordering characterized by the space group P321 (No.150). This finding confirms the emergence of a novel form of chiral order driven by electronic degrees of freedom, without an underlying chiral crystal structure in URhSn.

論文

Magnetic phase diagram and Fermi surface properties of the heavy-fermion antiferromagnet UPd$$_{2}$$Cd$$_{20}$$

廣瀬 雄介; 土塔 寛*; 竹内 徹也*; 三宅 厚志*; 徳永 将史*; 仲村 愛*; 本間 佳哉*; 青木 大*; 本多 史憲*; 摂待 力生*

Journal of Physics; Condensed Matter, 38(24), p.245601_1 - 245601_11, 2026/06

 被引用回数:0 パーセンタイル:0.00(Physics, Condensed Matter)

The electronic state of UPd$$_{2}$$Cd$$_{20}$$, which exhibits a magnetic transition at $$T$$$$_{rm N}$$ $$sim$$ 5 K, is investigated by means of transport, high-field magnetization up to 55 T, specific heat in magnetic fields, and de Haas-van Alphen (dHvA) measurements, and compared with the non-5f compound ThPd$$_{2}$$Cd$$_{20}$$. A metamagnetic transition is observed at $$mu$$$$_{0}$$$$H_{rm c}$$ $$sim$$ 15-20 T, which continuously connects to $$T$$$$_{rm N}$$ in the H-T phase diagram. Although the magnetization reaches large values at high fields, the ordered magnetic moment is estimated to be small from small anomalies in specific heat at $$T$$$$_{rm N}$$ and in magnetization at $$T$$$$_{rm c}$$. The observed dHvA frequencies reveal enhanced cyclotron effective masses of 30 $$m_{0}$$, which are much heavier than those in ThPd$$_{2}$$Cd$$_{20}$$. These experimental results indicate that 5f-derived bands contribute to the large electronic specific heat coefficient of 670 mJ/mol K$$^{2}$$, demonstrating the dual localized-itinerant character of 5f electrons in UPd$$_{2}$$Cd$$_{20}$$.

論文

Field-induced antiferromagnetic transition in CeIrIn$$_5$$

徳永 陽; 鈴木 通人*; Kr$"a$mer, S.*; 酒井 宏典; 神戸 振作; 播磨 尚朝*; 青木 大*; Horvati$'c$, M.*; Sheikin, I.*

Physical Review B, 113(14), p.L140406_1 - L140406_7, 2026/04

 被引用回数:0 パーセンタイル:0.00(Materials Science, Multidisciplinary)

We report low-temperature $$^{115}$$In nuclear magnetic resonance (NMR) study of the prototypical heavy-fermion compound CeIrIn$$_5$$ in high magnetic fields applied close to the crystallographic $$c$$ axis. For this orientation, a field-induced transition was previously reported to take place at about 28~T. Although we do not observe any change of the NMR spectrum above the transition, the intensity of the NMR lines drastically decreases as a consequence of a considerable shortening of the $$T_2$$ relaxation time. In addition, $$1/T_1$$ shows a pronounced maximum at the transition. Taking into account previous high-field de Haas-van Alphen results in conjunction with band-structure calculations, our NMR results are most naturally explained by the field-induced transition into an antiferromagnetic state with the propagation vector $$mathbf{Q} = (1/2, 1/2, 0)$$ and magnetic moments aligned antiferromagnetically along the $$c$$ axis.

論文

Magnetic field angle dependence of the magnetic phase diagram in UNi$$_{4}$$B

日高 宏之*; 柳澤 達也*; 田端 千紘; 今 布咲子*; 網塚 浩*; 清水 悠晴*; 青木 大*

Physical Review B, 112(14), p.144418_1 - 144418_6, 2025/10

 被引用回数:0 パーセンタイル:0.00(Materials Science, Multidisciplinary)

A uranium-based metallic compound UNi$$_{4}$$B with orthorhombic structure exhibits an antiferromagnetic (AFM) ordering at $$T_{rm N}$$ = 20.4 K. Although an electric current-induced magnetization below $$T_{rm N}$$ has been observed in this compound [H. Saito et al., J. Phys. Soc. Jpn. 87, 033702 (2018)], its underlying mechanism remains controversial. In this study, we measured thermal expansion and magnetostriction along the a-axis under magnetic field $$H$$ up to 14 T applied within the $$bc$$-plane to investigate rotational symmetry of a magnetic field-temperature phase diagram in UNi$$_{4}$$B. From the phase diagrams constructed under various $$H$$-angles between $$b$$ and $$c$$, it is suggested that the $$H$$-$$T$$ phase diagram practically exhibits six-fold rotational symmetry in the $$bc$$ plane despite the orthorhombic crystal structure, which would be attributed to $$a$$ quasi-hexagonal structure formed by U ions with small orthorhombic distortion.

論文

Self-reconstruction of order parameter in spin-triplet superconductor UTe$$_2$$

常盤 欣文; Opletal, P.; 酒井 宏典; 久保 勝規; 神戸 振作; 山本 悦嗣; 木俣 基; 淡路 智*; 佐々木 孝彦*; 青木 大*; et al.

Physical Review Letters, 135(13), p.136502_1 - 136502_6, 2025/09

 被引用回数:4 パーセンタイル:76.34(Physics, Multidisciplinary)

UTe$$_2$$における$$a$$軸方向の容易軸メタ磁性クロスオーバーが超伝導に及ぼす影響を、交流磁化率、磁化、および磁気熱量効果の測定によって調べた。高品質な単結晶試料において、5.6Tで超伝導状態内におけるメタ磁性に駆動された磁場誘起相転移を確認した。この相転移により高磁場超伝導状態が形成され、上部臨界磁場は12Tまで大幅に増大する。転移点でのエントロピーの急激な増加は秩序変数の自己再構成を示唆しており、多成分超伝導状態が外部摂動に適応するメカニズムを示している。

論文

Successive phase transitions in the quasi-kagome lattice system URhSn studied by resonant X-ray scattering

田端 千紘; 今 布咲子*; 日比野 瑠央*; 清水 悠晴*; 網塚 浩*; 金子 耕士; 本間 佳哉*; 青木 大*; 中尾 裕則*

Journal of the Physical Society of Japan, 94(8), p.083701_1 - 083701_5, 2025/07

 被引用回数:5 パーセンタイル:76.34(Physics, Multidisciplinary)

Resonant X-ray scattering at the uranium M4 edge revealed successive phase transitions in URhSn. An antiferro-quadrupole (AFQ) order with propagation vector q = 0 emerges between 16 K and 54 K. Below 16 K, this AFQ order coexists with a canted magnetism, leading to a ground state that breaks mirror symmetry and exhibits chirality or polarity.

論文

Surface and interfacial aggregation states in thin films of a polystyrene/polyrotaxane blend

田口 美岐*; 宮田 登*; 宮崎 司*; 青木 裕之; Ozawa, Satoru*; 長谷川 龍一 *; 盛満 裕真*; 川口 大輔*; 山本 悟*; 田中 敬二*

Polymer Journal, 57(7), p.737 - 743, 2025/07

 被引用回数:0 パーセンタイル:0.00(Polymer Science)

Polyrotaxane (PR) exhibits unique mechanical properties due to the ability of its cyclic molecules to move or slide along the axial chain. Thus, to design advanced polymer-based composite materials and organic devices, it is crucial to better understand the aggregation states at the surface and substrate interface in polymer films containing PR. Here, we report the depth profile of PR along the direction normal to the interface when it is mixed with polystyrene (PS). Neutron reflectivity and X-ray photoelectron spectroscopy revealed that PS and PR segregated at the surface and substrate interface, respectively, and that the extent of segregation depended on the length of PS. The surface enrichment of PS is driven by both energy and entropy, whereas the enrichment of PR at the substrate interface is energy driven.

論文

Neutron reflectometry study on the interfacial layer of epoxy resin to improve adhesion strength

Liu, Y.*; 宮田 登*; 宮崎 司*; 春藤 淳臣*; 川口 大輔*; 田中 敬二*; 青木 裕之

ACS Applied Materials & Interfaces, 17(25), p.37311 - 37318, 2025/06

The performance of structural adhesives is strongly influenced by the interfacial structure between the adhesive and adherend. In this study, we developed a nanometric stable interfacial layer derived from an epoxy resin system containing excess hardener. This layer, formed on solid substrates, exhibited excellent structural stability, even after extensive solvent washing. Neutron reflectometry (NR) was employed to investigate its structure under both dry and humid conditions, revealing a robust and well-defined interface that suppressed moisture accumulation at the adherend interface. FT-IR spectroscopy confirmed an excess of unreacted amino groups in the adsorbed layer, enabling further curing reactions with freshly applied epoxy resin. Re-coating experiments demonstrated that the adsorbed layer remained intact after thermal curing, suggesting strong interfacial compatibility. Notably, the presence of the adsorbed layer led to a significant enhancement in adhesive performance. Lap shear tests showed that the adhesion strength of the epoxy resin nearly doubled when the adsorbed layer was introduced at the interface. This approach does not rely on external coupling agents or primers, but instead utilizes a homologous material system to tailor interfacial properties through molecular-level design. The strategy presented here offers a practical and scalable method for improving adhesion in epoxy systems. By directly engineering the adhesive interface using components intrinsic to the epoxy formulation, this method enables reliable and enhanced bonding performance without altering the bulk material.

論文

A Focusing supermirror for time-of-flight grazing-incidence small-angle neutron scattering measurement

山崎 大; 丸山 龍治; 青木 裕之; 花島 隆泰*; 阿久津 和宏*; 宮田 登*; 曽山 和彦

Quantum Beam Science (Internet), 9(2), p.20_1 - 20_12, 2025/06

This study developed a neutron-beam focusing supermirror for grazing-incidence small-angle neutron scattering (GISANS) measurements. It was fabricated by depositing NiC/Ti supermirror film with ion-beam sputtering on a precise elliptic surface of fused quartz figured using the elastic emission machining technique. Neutron measurements at a pulsed neutron reflectometer BL17 of MLF, J-PARC successfully demonstrated that the focusing supermirror enhances a beam intensity twentyfold compared with an optimally collimated beam, achieving the signal-to-background ratio of the focal spot as high as 500. The mirror can be readily installed and used at BL17.

論文

Incommensurate antiferromagnetism in UTe$$_2$$ under pressure

Knafo, W.*; Thebault, T.*; Raymond, S.*; Manuel, P.*; Khalyavin, D. D.*; Orlandi, F.*; Ressouche, E.*; Beauvois, K.*; Lapertot, G.*; 金子 耕士; et al.

Physical Review X, 15(2), p.021075_1 - 021075_16, 2025/05

 被引用回数:11 パーセンタイル:94.22(Physics, Multidisciplinary)

The discovery of multiple superconducting phases in UTe$$_2$$ boosted research on correlated-electron physics. This heavy-fermion paramagnet was rapidly identified as a reference compound to study the interplay between magnetism and unconventional superconductivity with multiple degrees of freedom. The proximity to a ferromagnetic quantum phase transition was initially proposed as a driving force to triplet-pairing superconductivity. However, we find here that long-range incommensurate antiferromagnetic order is established under pressure. The propagation vector k$$_{rm m}$$ = (0.07, 0.33, 1) of the antiferromagnetic phase is close to a wavevector where antiferromagnetic fluctuations have previously been observed at ambient pressure. These elements support that UTe$$_2$$ is a nearly-antiferromagnet at ambient pressure. Our work appeals for theories modelling the evolution of the magnetic interactions and electronic properties, driving a correlated paramagnetic regime at ambient pressure to a long-range antiferromagnetic order under pressure. A deeper understanding of itinerant-f-electrons magnetism in UTe$$_2$$ will be a key for describing its unconventional superconducting phases.

論文

Two-dimensional Dresselhaus-type spin texture and nonreciprocal magnetoresistance in magnetic semiconductor EuIr$$_4$$In$$_2$$Ge$$_4$$

横山 旭*; 仲地 立*; 本間 佳哉*; 仲村 愛*; 清水 悠晴*; Li, D.*; 三宅 厚志*; 本多 史憲*; 青木 大*; 大貫 惇睦*; et al.

Journal of the Physical Society of Japan, 94(2), p.023701_1 - 023701_4, 2025/02

 被引用回数:1 パーセンタイル:34.76(Physics, Multidisciplinary)

We present the nonreciprocal magnetoresistance (NRMR) and spin texture of the noncentrosymmetric magnetic semiconductor EuIr$$_4$$In$$_2$$Ge$$_4$$. Anisotropy measurements of NRMR for different crystalline axes under rotational magnetic fields revealed a two-dimensional Dresselhaus-type spin texture of this material, where the spin polarization is confined to the tetragonal (001) plane. Strong coupling between NRMR and magnetism was suggested by the low-temperature field dependence of NRMR; however, the magnitude of NRMR was more rapidly suppressed by increasing the temperature than that of magnetic susceptibility. This distinct behavior implies extra mechanisms to reduce the NRMR in addition to the reduction of magnetic moment due to the temperature increase.

論文

$$^{149}$$Sm synchrotron-radiation-based M$"{o}$ssbauer and $$mu^+$$SR studies of Sm$$_3$$Ru$$_4$$Ge$$_{13}$$

筒井 智嗣; 伊藤 孝; 中村 仁*; 吉田 実生*; 小林 義男*; 依田 芳卓*; 中村 惇平*; 幸田 章宏*; 東中 隆二*; 青木 大*; et al.

Interactions (Internet), 245(1), p.55_1 - 55_9, 2024/12

$$^{149}$$Sm SR-based M$"{o}$ssbauer and muon spin relaxation ($$mu^+$$SR) spectroscopies have been applied to Sm$$_3$$Ru$$_4$$Ge$$_{13}$$. The temperature dependence of the $$^{149}$$Sm SR-based M$"{o}$ssbauer spectra in the paramagnetic state implies the presence of dynamical nuclear Zeeman and/or quadrupole interactions. The time differential $$mu^+$$SR spectra also exhibit a marked temperature dependence in the paramagnetic state, indicating the presence of magnetic fluctuation in Sm$$_3$$Ru$$_4$$Ge$$_{13}$$ at least. These results in the present work infer that the dynamical hyperfine interactions observed using the mutually complementary spectroscopic methods are connected with the mechanism of the heavy fermion behavior in Sm$$_3$$Ru$$_4$$Ge$$_{13}$$.

論文

Influence of MC carbides on pitting corrosion resistance of weld metal in austenitic stainless steels

門井 浩太*; 冠野 裕大*; 青木 聡; 井上 裕滋*

ISIJ International, 64(9), p.1450 - 1456, 2024/07

 被引用回数:5 パーセンタイル:44.40(Metallurgy & Metallurgical Engineering)

オーステナイトステンレス鋼の溶接金属中の孔食に及ぼす化学組成の影響について検討した。クロムおよびモリブデンを多く含む試験片は、再活性化率が低いことが示された。チタンの添加は、耐孔食性を著しく低下させた。クロム欠乏領域はM$$_{23}$$C$$_{6}$$やTiCのような炭化物の近くに形成された。また、凝固時に生成したTiC相がM$$_{23}$$C$$_{6}$$析出の核となった。M$$_{23}$$C$$_{6}$$の析出により、クロムの拡散による空乏領域が発生し、耐孔食性の劣化を誘発した。

論文

In-plane movement of isolated poly(methacrylate) chains on a hydrophilic solid surface

Kawano, Masayuki*; 盛満 裕真*; Liu, Y.*; 宮田 登*; 宮崎 司*; 青木 裕之; 川口 大輔*; 山本 悟*; 田中 敬二*

Macromolecules, 57(14), p.6625 - 6633, 2024/07

 被引用回数:2 パーセンタイル:12.12(Polymer Science)

A better understanding of the dynamic behavior of polymer chains on solid surfaces is indispensable for the design and construction of high-performance polymer composites. We herein visualized the in-plane movement of isolated poly(methyl methacrylate) (PMMA) and poly(tert-butyl methacrylate) (PtBMA) single chains on hydrophilic silicon wafers under ambient conditions by atomic force microscopy. Isolated PMMA chains adsorbed to the substrate, whereas PtBMA chains diffused, the degree of which was dependent on the humidity. Neutron reflectivity revealed the formation of a layer of condensed water on the substrate. All-atomistic molecular dynamics simulations implied that the diffusivity difference of the two polymers was based on the submerged depth in which a part of a chain existed. That is, the interaction of a polymer with the surface of the hydrophilic substrate primarily governs its lateral movement, or adsorption behavior, facilitated by the presence of water.

論文

Field-induced insulator-metal transition in EuTe$$_2$$

竹内 徹也*; 本多 史憲*; 青木 大*; 芳賀 芳範; 木田 孝則*; 鳴海 康雄*; 萩原 政幸*; 金道 浩一*; 軽部 皓介*; 播磨 尚朝*; et al.

Journal of the Physical Society of Japan, 93(4), p.044708_1 - 044708_10, 2024/04

 被引用回数:0 パーセンタイル:0.00(Physics, Multidisciplinary)

Electrical and magnetic properties of divalent europium antiferromagnet EuTe$$_2$$ are studied on single crystals grown from Te-flux method. Antiferromagnetism occurs at 11 K with an insulating ground state. Application of magnetic field induces a sudden resistance drop leading to a phase transition to metallic state. Energy band calculations reveal the appearance of a Fermi surface pocket with Te-5p character induced by the polarized Eu moments.

論文

Reinforcement of superconductivity by quantum critical fluctuations of metamagnetism in UTe$$_2$$

常盤 欣文; Opletal, P.; 酒井 宏典; 神戸 振作; 山本 悦嗣; 木俣 基*; 淡路 智*; 佐々木 孝彦*; 青木 大*; 芳賀 芳範; et al.

Physical Review B, 109(14), p.L140502_1 - L140502_6, 2024/04

 被引用回数:9 パーセンタイル:74.71(Materials Science, Multidisciplinary)

超伝導体UTe$$_2$$の常伝導状態を$$b$$軸磁場に対するエントロピー解析によって調べた。メタ磁性揺らぎ(空間一様、$$Q=0$$)による磁場によるエントロピーの強い増加が観測された。この磁場依存性は遍歴メタ磁性の量子臨界性に関するHertz-Millis-Moriya理論によってよく記述される。特に、量子臨界領域の下界は超伝導転移温度$$T_c(B)$$の最小値の位置とよく一致する。この結果は、$$Q=0$$の揺らぎが超伝導を強めることを示唆している。

論文

Synthesis of heat-resistant living polymer particles by one-step reversible addition-fragmentation chain transfer precipitation polymerization of styrene and $$N$$-phenylmaleimide

山崎 駿*; 金子 直矢*; 加藤 敦也*; 渡邉 航平*; 青木 大輔*; 谷口 竜王*; 唐津 孝*; 上田 祐生; 元川 竜平; 大倉 滉生*; et al.

Polymer, 298, p.126846_1 - 126846_11, 2024/04

 被引用回数:7 パーセンタイル:50.34(Polymer Science)

Synthesis of heat-resistant, living polymer particles via one-step reversible addition-fragmentation chain transfer precipitation polymerization (RAFTPP) of styrene and $$N$$-phenylmaleimide is reported. Gel permeation chromatography and nuclear magnetic resonance spectroscopy confirmed that the polymerization proceeded in a living manner. The scanning electron microscopy results showed that the monodisperse P(St-PhMI) RAFTPP particles with a diameter of 1.88 micrometer were successfully synthesized. The P(St-PhMI) RAFTPP showed excellent thermal stability with a high glass transition temperature and a 5 percent weight loss temperature. The surface concentration of the RAFT groups was determined to be 0.181 groups/square-nanometer due to fragmentation of the RAFT groups exposed on the particles. The small-angle neutron scattering measurements showed the particle formation mechanism, in which the swollen, growing polymer chains were consumed for particle formation. The introduction of grafted chains by surface-initiated RAFT polymerization demonstrated the possibility of further functionalization of P(St-PhMI) RAFTPP particles by exploiting their living nature.

論文

Longitudinal spin fluctuations driving field-reinforced superconductivity in UTe$$_2$$

徳永 陽; 酒井 宏典; 神戸 振作; Opletal, P.; 常盤 欣文; 芳賀 芳範; 北川 俊作*; 石田 憲二*; 青木 大*; Knebel, G.*; et al.

Physical Review Letters, 131(22), p.226503_1 - 226503_7, 2023/12

 被引用回数:22 パーセンタイル:88.67(Physics, Multidisciplinary)

Our measurements of $$^{125}$$Te NMR relaxations reveal an enhancement of electronic spin fluctuations above $$mu_0H^*sim15$$~T, leading to their divergence in the vicinity of the metamagnetic transition at $$mu_0H_mapprox35$$~T, below which field-reinforced superconductivity appears when a magnetic field ($$H$$) is applied along the crystallographic $$b$$ axis. The NMR data evidence that these fluctuations are dominantly longitudinal, providing a key to understanding the peculiar superconducting phase diagram in $$H|b$$, where such fluctuations enhance the pairing interactions.

論文

Impact of the Ce$$4f$$ states in the electronic structure of the intermediate-valence superconductor CeIr$$_3$$

藤森 伸一; 川崎 郁斗; 竹田 幸治; 山上 浩志; 雀部 矩正*; 佐藤 芳樹*; 清水 悠晴*; 仲村 愛*; Maruya, A.*; 本間 佳哉*; et al.

Electronic Structure (Internet), 5(4), p.045009_1 - 045009_7, 2023/11

The electronic structure of the $$f$$-based superconductor $$mathrm{CeIr_3}$$ was studied by photoelectron spectroscopy. The energy distribution of the $$mathrm{Ce}~4f$$ state was revealed by the $$mathrm{Ce}~3d-4f$$ resonant photoelectron spectroscopy. The $$mathrm{Ce}~4f$$ state was mostly distributed in the vicinity of the Fermi energy, suggesting the itinerant character of the $$mathrm{Ce}~4f$$ state. The contribution of the $$mathrm{Ce}~4f$$ state to the density of states (DOS) at the Fermi energy was estimated to be nearly half of that of the$$mathrm{Ir}~5d$$ states, implying that the $$mathrm{Ce}~4f$$ state has aconsiderable contribution to the DOS at the Fermi energy. The $$mathrm{Ce}~3d$$ core-level and $$mathrm{Ce}~3d$$ X-ray absorption spectra were analyzed based on a single-impurity Anderson model. The number of the $$mathrm{Ce}~4f$$ state in the ground state was estimated to be 0.8-0.9, which is much larger than the values obtained in the previous studies (i.e., 0-0.4).

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