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How to achieve spin control of noncollinear antiferromagnetic Mn3Sn at room temperature is a challenge. In this study, we modulate the magnetic structure of Mn3Sn single crystals by subjecting them to uniaxial stress at the GPa level using a high-pressure combined deformation method. Initially, the single crystal is sliced into regular cuboids, then embedded in a stainless steel sleeve, and finally, uniaxial stress is applied along the
$ \text{[11}\bar{2}\text{0]} $ direction and$ \text{[01}\bar{1}\text{0]} $ direction of the Mn3Sn single crystal. Under high stress, the single crystal undergoes plastic deformation. Our observations reveal lattice distortion in the deformed single crystal, with the lattice parameter gradually decreasing as the stress level increases. In addition, the magnetic susceptibility of Mn3Sn under GPa uniaxial stress (χ) is different from that under MPa uniaxial stress, and its value is no longer fixed but increases with the increase of stress. When 1.12 GPa stress is applied in the$ \text{[11}\bar{2}\text{0]} $ direction, χ reaches 0.0203$ {\text{μ}}_{\text{B}}\cdot{\text{f.u.}}^{{-1}}\cdot{\text{T}}^{{-1}} $ , which is 1.42 times that of the undeformed sample. In the case of stress applied along the$ \text{[01}\bar{1}\text{0]} $ direction, χ ≈ 0.0332$ {\text{μ}}_{\text{B}}\cdot{\text{f.u.}}^{{-1}}\cdot{\text{T}}^{{-1}} $ when the stress is 1.11 GPa. This result is also 2.66 times greater than the reported results. We further calculate the values of trimerization parameter (ξ), isotropic Heisenberg exchange interaction (J), and anisotropic energy (δ) of the system under different stresses. Our results show that ξ gradually increases, J gradually decreases, and δ gradually increases with the increase of stress. These results show that the GPa uniaxial stress introduces anisotropic strain energy into the single crystal, breaking the symmetry of the in-plane hexagon of the kagome lattice, which causes the bond length of the two equilateral triangles composed of Mn atoms to change. Thus, the exchange coupling between Mn atoms in the system is affected, the anisotropy of the system is enhanced, and the antiferromagnetic coupling of the system is enhanced. Therefore, the system χ is no longer a constant value and gradually increases with the increase of stress. This discovery will provide new ideas for regulating the anti-ferromagnetic spin.-
Keywords:
- antiferromagnetic /
- uniaxial stress /
- single crystal /
- lattice distortion
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图 3 (a), (b)沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向施加应力变形前后的XRD图; (c), (e)变形前$ \text{(11}\bar{2}\text{0)} $, $ \text{(01}\bar{1}\text{0)} $晶面的HRTEM图; (d), (f)变形前$ \text{(11}\bar{2}\text{0)} $, $ \text{(01}\bar{1}\text{0)} $晶面的SAED图; (g), (h)变形后$ \text{(11}\bar{2}\text{0)} $晶面的HRTEM图; (i), (j)变形后$ \text{(01}\bar{1}\text{0)} $晶面的HRTEM图
Figure 3. (a), (b) XRD patterns before and after stress deformation along $ \text{[11}\bar{2}\text{0]} $ and $ \text{[01}\bar{1}\text{0]} $ directions; (c), (e) HRTEM images of $ \text{(11}\bar{2}\text{0)} $ and $ \text{(01}\bar{1}\text{0)} $ crystal faces before deformation; (d), (f) SAED patterns of $ \text{(11}\bar{2}\text{0)} $ and $ \text{(01}\bar{1}\text{0)} $ crystal faces before deformation; (g), (h) HRTEM images of $ \text{(11}\bar{2}\text{0)} $ crystal face after deformation; (i), (j) HRTEM images of $ \text{(01}\bar{1}\text{0)} $ crystal face after deformation.
图 4 (a), (b)沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向变形前后样品的磁滞回线; (c), (d)沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向变形前后样品的磁化率χ和剩磁Mr随应力的变化
Figure 4. (a), (b) Hysteresis loops of samples before and after deformation along $ \text{}\text{[11}\bar{2}\text{0]}\text{} $ and $ \text{[01}\bar{1}\text{0]} $ directions; (c), (d) the changes of magnetic susceptibility χ and remanence Mr of sample demagnetization curve with stress before and after deformation along $ \text{}\text{[11}\bar{2}\text{0]}\text{} $ and $ \text{[01}\bar{1}\text{0]} $ directions.
图 5 (a), (b)沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向变形前后三聚参数ξ随应力的变化; (c), (d)黑色曲线为沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向施加应力前后单晶的各向同性海森伯交换作用J, 红色曲线为沿$ \text{[11}\bar{2}\text{0]} $, $ \text{[01}\bar{1}\text{0]} $方向施加应力前后单晶的各向异性能δ
Figure 5. (a), (b) Changes of trimerization parameters ξ with stress before and after deformation along $ \text{}\text{[11}\bar{2}\text{0]}\text{} $ and $ \text{[01}\bar{1}\text{0]} $ directions. (c), (d) The black curve shows the isotropic Heisenberg exchange J of a single crystal before and after stress is applied in along $ \text{}\text{[11}\bar{2}\text{0]}\text{} $ and $ \text{[01}\bar{1}\text{0]} $ directions. The red curve shows the anisotropic energy δ of a single crystal before and after stress is applied in $ \text{[11}\bar{2}\text{0]}\text{} $ and $ \text{[01}\bar{1}\text{0]} $ directions.
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[1] Nakatsuji S, Kiyohara N, Higo T 2015 Nature 527 212Google Scholar
[2] Li X, Koo J, Zhu Z, Behnia K, Yan B 2023 Nat. Commun. 14 1642Google Scholar
[3] Singh C, Singh V, Pradhan G, Srihari V, Poswal H K, Nath R, Nandy A K, Nayak A K 2020 Phys. Rev. Res. 2 043366Google Scholar
[4] Higo T, Qu D R, Li Y F, Chien C L, Otani Y, Nakatsuji S 2018 Appl. Phys. Lett. 113 202402Google Scholar
[5] Matsuda T, Higo T, Koretsune T, Kanda N, Hirai Y, Peng H, Matsuo T, Yoshikawa N, Shimano R, Nakatsuji S, Matsunaga R 2023 Phys. Rev. Lett. 130 126302Google Scholar
[6] Bai Y, Wang Z, Lei N, Muhammad W, Xiang L F, Li Q, Lai H L, Zhu Y Y, Wang W B, Guo H W, Yin L F, Wu R Q, Shen J 2022 Chin. Phys. Lett. 39 108501Google Scholar
[7] Rout P K, Madduri P V P, Manna S K, Nayak A K 2019 Phys. Rev. B 99 094430Google Scholar
[8] Yan J, Luo X, Lv H Y, Sun Y, Tong P, Lu W J, Zhu X B, Song W H, Sun Y P 2019 Appl. Phys. Lett. 115 102404Google Scholar
[9] Low A, Ghosh S, Changdar S, Routh S, Purwar S, Thirupathaiah S 2022 Phys. Rev. B 106 144429Google Scholar
[10] Xiong D R, Jiang Y H, Zhu D Q, Du A, Guo Z X, Lu S Y, Wang C X, Xia Q T, Zhu D P, Zhao W S 2023 Chin. Phys. B 32 057501Google Scholar
[11] Ma H Y, Yin J X, Hasan M Z, Liu J P 2024 Chin. Phys. Lett. 41 047103Google Scholar
[12] Guo G Y, Wang T C 2017 Phys. Rev. B 96 224415Google Scholar
[13] Ikhlas M, Tomita T, Koretsune T, Suzuki M T, Nishio-Hamane D, Arita R, Otani Y, Nakatsuji S 2017 Nat. Phys. 13 1085Google Scholar
[14] Miwa S, Iihama S, Nomoto T, Tomita T, Higo T, Ikhlas M, Sakamoto S, Otani Y, Mizukami S, Arita R, Nakatsuji S 2021 Small Science 1 2000062Google Scholar
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[19] 闫君, 孙莹, 王聪, 史再兴, 邓司浩, 史可文, 卢会清 2014 物理学报 63 167502Google Scholar
Yan J, Sun Y, Wang C, Shi Z X, Deng S H, Shi K W, Lu H Q 2014 Acta Phys. Sin. 63 167502Google Scholar
[20] 张源, 胡新宁, 崔春艳, 崔旭, 牛飞飞, 黄兴, 王路忠, 王秋良, 2023 物理学报 72 128401Google Scholar
Zhang Y, Hu X N, Cui C Y, Cui X, Niu F F, Huang X, Wang L Z, Wang Q L 2023 Acta Phys. Sin. 72 128401Google Scholar
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Tan B, Gao D, Deng D F, Chen S Y, Bi L, Liu D H, Liu T 2024 Acta Phys. Sin. 73 067501Google Scholar
[28] Nagamiya T 1979 J. Phys. Soc. Japan 46 787Google Scholar
[29] Kuroda K, Tomita T, Suzuki M T, Bareille C, Nugroho A A, Goswami P, Ochi M, Ikhlas M, Nakayama M, Akebi S, Noguchi R, Ishii R, Inami N, Ono K, Kumigashira H, Varykhalov A, Muro T, Koretsune T, Arita R, Shin S, Kondo T, Nakatsuji S 2017 Nat. Mater. 16 1090Google Scholar
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[31] Baltz V, Manchon A, Tsoi M, Moriyama T, Ono T, Tserkovnyak Y 2018 Rev. Mod. Phys. 90 015005Google Scholar
[32] Coileáin C Ó, Wu H C 2017 SPIN 07 1740014Google Scholar
[33] Jungfleisch M B, Zhang W, Hoffmann A 2018 Phys. Lett. A 382 865Google Scholar
[34] Němec P, Fiebig M, Kampfrath T, Kimel A V 2018 Nat. Phys. 14 229Google Scholar
[35] Wadley P, Howells B, Železný J, Andrews C, Hills V, Campion R P, Novák V, Olejník K, Maccherozzi F, Dhesi S S, Martin S Y, Wagner T, Wunderlich J, Freimuth F, Mokrousov Y, Kuneš J, Chauhan J S, Grzybowski M J, Rushforth A W, Edmonds K W, Gallagher B L, Jungwirth T 2016 Science 351 587Google Scholar
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