Abstract
Piezomagnetism couples strain linearly to magnetic order, implying that it can produce and control magnetization. However, unlike magnetostriction, which couples magnetization quadratically to strain, it enables bidirectional control of a net magnetic moment. If this effect becomes large at room temperature, it may be technologically relevant, similar to its electric analogue, piezoelectricity. However, current studies of the piezomagnetic effect have been primarily restricted to antiferromagnetic insulators at cryogenic temperatures. Here we report the observation of large piezomagnetism in the antiferromagnetic Weyl semimetal Mn3Sn at room temperature. This material is known for its nearly magnetization-free anomalous Hall effect. We find that a small uniaxial strain on the order of 0.1% can control both the sign and size of the anomalous Hall effect. Our experiment and theory show that the piezomagnetism can control the anomalous Hall effect, which will be useful for spintronics applications.
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Data availability
Source data are provided with this paper. All other data that support the plots within this paper and other findings of this study are available from the corresponding author upon reasonable request.
Code availability
The codes that support the plots within this paper and other findings of this study are available on GitHub (https://github.com/SayakD-hub/Mn_3_X_Hall).
References
Ramesh, R. & Spaldin, N. A. Multiferroics: progress and prospects in thin films. Nat. Mater. 6, 21–29 (2007).
Dong, S., Liu, J.-M., Cheong, S.-W. & Ren, Z. Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology. Adv. Phys. 64, 519–626 (2015).
Song, C., Cui, B., Li, F., Zhou, X. & Pan, F. Recent progress in voltage control of magnetism: materials, mechanisms, and performance. Prog. Mater. Sci. 87, 33–82 (2017).
Dzialoshinskii, I. E. The problem of piezomagnetism. Sov. Phys. JETP 6, 621–622 (1958).
Borovik-Romanov, A. Piezomagnetism, linear magnetostriction and magnetooptic effect. Ferroelectrics 162, 153–159 (1994).
Lukashev, P., Sabirianov, R. F. & Belashchenko, K. Theory of the piezomagnetic effect in Mn-based antiperovskites. Phys. Rev. B 78, 184414 (2008).
Zemen, J., Gercsi, Z. & Sandeman, K. Piezomagnetism as a counterpart of the magnetovolume effect in magnetically frustrated Mn-based antiperovskite nitrides. Phys. Rev. B 96, 024451 (2017).
Jaime, M. et al. Piezomagnetism and magnetoelastic memory in uranium dioxide. Nat. Commun. 8, 99 (2017).
Lee, E. W. Magnetostriction and magnetomechanical effects. Rep. Prog. Phys 18, 184–229 (1955).
Boldrin, D. et al. Giant piezomagnetism in Mn3NiN. ACS Appl. Mater. Interfaces 10, 18863–18868 (2018).
Guo, H. et al. Giant piezospintronic effect in a noncollinear antiferromagnetic metal. Adv. Mater. 32, 2002300 (2020).
Samathrakis, I. & Zhang, H. Tailoring the anomalous Hall effect in the noncollinear antiperovskite Mn3GaN. Phys. Rev. B 101, 214423 (2020).
Johnson, F. et al. Strain dependence of Berry-phase-induced anomalous Hall effect in the non-collinear antiferromagnet Mn3NiN. Appl. Phys. Lett. 119, 222401 (2021).
Radhakrishna, P., Brown, P., Herrmann-Ronzaud, D. & Alben, R. A neutron diffraction investigation of domain formation in a staggered field induced by uniaxial stress in CoF2. J. Phys. C 11, 2851–2859 (1978).
Baruchel, J. et al. Piezomagnetism and domains in MnF2. J. Phys. Colloq. 49, C8–1895–C8–1896 (1988).
Disa, A. S. et al. Polarizing an antiferromagnet by optical engineering of the crystal field. Nat. Phys. 16, 937–941 (2020).
Jungwirth, T., Marti, X., Wadley, P. & J., W. Antiferromagnetic spintronics. Nat. Nanotech. 11, 231–241 (2016).
Baltz, V. et al. Antiferromagnetic spintronics. Rev. Mod. Phys. 90, 015005 (2018).
Šmejkal, L., Mokrousov, Y., Yan, B. & MacDonald, A. H. Topological antiferromagnetic spintronics. Nat. Phys. 14, 242–251 (2018).
Liu, Z. et al. Antiferromagnetic piezospintronics. Adv. Electron. Mater. 5, 1900176 (2019).
Kimata, M. et al. Magnetic and magnetic inverse spin Hall effects in a non-collinear antiferromagnet. Nature 565, 627–630 (2019).
Tsai, H. et al. Electrical manipulation of a topological antiferromagnetic state. Nature 580, 608–613 (2020).
Takeuchi, Y. et al. Chiral-spin rotation of non-collinear antiferromagnet by spin–orbit torque. Nat. Mater. 20, 1364–1370 (2021).
Tian, D. et al. Manipulating berry curvature of SrRuO3 thin films via epitaxial strain. Proc. Natl Acad. Sci. USA 118, e2101946118 (2021).
Nagamiya, T., Tomiyoshi, S. & Yamaguchi, Y. Triangular spin configuration and weak ferromagnetism of Mn3Sn and Mn3Ge. Solid State Commun. 42, 385–388 (1982).
Suzuki, M.-T., Koretsune, T., Ochi, M. & Arita, R. Cluster multipole theory for anomalous Hall effect in antiferromagnets. Phys. Rev. B 95, 094406 (2017).
Kuroda, K. et al. Evidence for magnetic Weyl fermions in a correlated metal. Nat. Mater. 16, 1090–1095 (2017).
Yang, H. et al. Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn. New J. Phys. 19, 015008 (2017).
Chen, T. et al. Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn3X, X = Sn, Ge. Nat. Commun. 12, 572 (2021).
Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature 527, 212–215 (2015).
Ikhlas, M. et al. Large anomalous Nernst effect at room temperature in a chiral antiferromagnet. Nat. Phys. 13, 1085–1090 (2017).
Li, X. et al. Anomalous Nernst and Righi–Leduc effects in Mn3Sn: Berry curvature and entropy flow. Phys. Rev. Lett. 119, 056601 (2017).
Higo, T. et al. Large magneto-optical Kerr effect and imaging of magnetic octupole domains in an antiferromagnetic metal. Nat. Photonics 12, 73–78 (2018).
Matsuda, T. et al. Room-temperature terahertz anomalous Hall effect in Weyl antiferromagnet Mn3Sn thin films. Nat. Commun. 11, 909 (2020).
Krén, E., Paitz, J., Zimmer, G. & Zsoldos, É. Study of the magnetic phase transformation in the Mn3Sn phase. Physica B+C 80, 226–230 (1975).
Song, Y. et al. Complicated magnetic structure and its strong correlation with the anomalous Hall effect in Mn3Sn. Phys. Rev. B 101, 144422 (2020).
Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).
Xiao, D., Chang, M. C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).
Hicks, C. W., Barber, M. E., Edkins, S. D., Brodsky, D. O. & Mackenzie, A. P. Piezoelectric-based apparatus for strain tuning. Rev. Sci. Instrum. 85, 065003 (2014).
Dieny, B. & Chshiev, M. Perpendicular magnetic anisotropy at transition metal/oxide interfaces and applications. Rev. Mod. Phys. 89, 025008 (2017).
Liu, J. & Balents, L. Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn3Sn/Ge. Phys. Rev. Lett. 119, 087202 (2017).
Cable, J., Wakabayashi, N. & Radhakrishna, P. A neutron study of the magnetic structure of Mn3Sn. Solid State Commun. 88, 161–166 (1993).
Park, P. et al. Magnetic excitations in non-collinear antiferromagnetic Weyl semimetal Mn3Sn. npj Quantum Mater. 3, 63 (2018).
Wang, X. et al. Integration of the noncollinear antiferromagnetic metal Mn3Sn onto ferroelectric oxides for electric-field control. Acta Mater. 181, 537–543 (2019).
Caillat, T., Fleurial, J.-P. & Borshchevsky, A. Bridgman-solution crystal growth and characterization of the skutterudite compounds CoSb3 and RhSb3. J. Cryst. Growth 166, 722–726 (1996).
Ghosh, S. et al. Thermodynamic evidence for a two-component superconducting order parameter in Sr2RuO4. Nat. Phys. 17, 199–204 (2021).
Ramshaw, B. et al. Avoided valence transition in a plutonium superconductor. Proc. Natl Acad. Sci. USA 112, 3285–3289 (2015).
Kittaka, S., Taniguchi, H., Yonezawa, S., Yaguchi, H. & Maeno, Y. Higher-Tc superconducting phase in Sr2RuO4 induced by uniaxial pressure. Phys. Rev. B 81, 180510 (2010).
Coak, M. J. et al. Squidlab–a user-friendly program for background subtraction and fitting of magnetization data. Rev. Sci. Instrum. 91, 023901 (2020).
Borovik-Romanov, A. Piezomagnetism in the antiferromagnetic fluorides of cobalt and manganese. Sov. Phys. JETP 11, 786–793 (1960).
Andratski, V. & Borovik-Romanov, A. Piezomagnetic effect in α-Fe2O3. JETP 24, 687–691 (1967).
Voskanyan, R., Levitin, R. & Shchurov, V. Magnetostriction of a hematite monocrystal in fields up to 150 kOe. Sov. Phys. JETP 27, 423–426 (1968).
Zvezdin, A. et al. Linear magnetostriction and the antiferromagnetic domain structure in dysprosium orthoferrite. J. Exp. Theor. Phys. 88, 1098–1102 (1985).
Kadomtseva, A., Agafonov, A., Milov, V. & Moskvin, A. Direct observation of a symmetry change induced in orthoferrite crystals by an external magnetic field. JETP Lett. 33, 383–386 (1981).
Acknowledgements
The work at the Institute for Quantum Matter, an Energy Frontier Research Center, was funded by the DOE Office of Science, Basic Energy Sciences under award no. DE-SC0019331. This work was partially supported by JST-Mirai Program (JPMJMI20A1), JST-CREST (JPMJCR18T3), JST-PRESTO (JPMJPR20L7), Japan Science and Technology Agency, Grants-in-Aids for Scientific Research on Innovative Areas (15H05882, 15H05883 and 15K21732) from the Ministry of Education, Culture, Sports, Science and Technology of Japan, and Grants-in-Aid for Scientific Research (19H00650). S.N. acknowledges support from the CIFAR as a Fellow of the CIFAR Quantum Materials Research Program. The use of the facilities of the Materials Design and Characterization Laboratory at the Institute for Solid State Physics, The University of Tokyo, as well as the Cryogenic Research Center, The University of Tokyo, is gratefully acknowledged. M.I. is supported by a JSPS Research Fellowship for Young Scientists (DC1). S.D. is supported by funding from the Max Planck-UBC-UTokyo Center for Quantum Materials, the Canada First Research Excellence Fund, Quantum Materials and Future Technologies Program, and the Japan Society for the Promotion of Science KAKENHI grant no. JP19H01808. C.W.H. acknowledges support from the Deutsche Forschungsgemeinschaft through SFB 1143 (project ID 247310070) and the Max Planck Society. The identification of any commercial product or tradename does not imply endorsement or recommendation by the National Institute of Standards and Technology.
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S.N. and O.T. conceived the project. S.N., B.J.R. and C.W.H. planned and supervised the experiments. M.I. synthesized and prepared the samples. M.I. and T.H. performed the transport measurements under uniaxial strain and the magnetization measurements under uniaxial stress. M.I. performed the finite element simulations. F.T. and B.J.R. conducted the resonant ultrasound spectroscopy measurements. S.K. developed the piston–cylinder-type pressure cell. C.W.H. developed the uniaxial strain cell. S.D. and O.T. developed the Landau theory, and S.D. performed the numerical calculations. M.I., S.D., S.N. and O.T. wrote the manuscript with comments from F.T. and C.W.H. All authors read and commented on the manuscript.
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Extended data
Extended Data Fig. 1
(a) M(H) curves of Sample M2 at T = 300K for various y-axis stress. (b) M(T) curves of Sample M2 under μ0Hy = 1T for various stress along y-axis, taken on cooling from 300 K. (c) M(H) curves of Sample M2 at T = 300K for various stress along x-axis. (d) M(T) curves of Sample M2 under μ0Hx = 1 T for various stress along x-axis, taken on cooling from 300 K. TH ≈ 271 K is the incommensurate transition temperature for Sample M2. ((e, f)) M(H) curves of Sample M1(M3) at T = 300 K for various stress along x(y)-axis.
Supplementary information
Supplementary Information
Supplementary Figs. 1–11, discussion and Tables 1 and 2.
Source Data Fig. 2
Field and temperature dependence of magnetization under uniaxial stress.
Source Data Fig. 3
Hall resistivity data for various strains, fields and temperatures.
Source Data Fig. 4
Numerically calculated values of Hall vector for various fields and strain parameters.
Source Data Extended Data Fig. 1
Magnetization data for various stress, fields and temperatures.
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Ikhlas, M., Dasgupta, S., Theuss, F. et al. Piezomagnetic switching of the anomalous Hall effect in an antiferromagnet at room temperature. Nat. Phys. 18, 1086–1093 (2022). https://doi.org/10.1038/s41567-022-01645-5
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DOI: https://doi.org/10.1038/s41567-022-01645-5
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