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Ferromagnetic moment in the magnetoelectric antiferromagnet Co4Ta2O9: Evidence of the P1 magnetic space group

Rahul Goel1,2,3, Kwanghyo Son4,5, Matthias J. Gutmann6, Dong Gun Oh7, Kapil Kumar3, Anzar Ali1,2,8, Suk Jin Mun1,2, Dnyaneshwar Bhosale1,2,*, Gideok Kim1,8,9 et al.

Nara Lee7, Young Jai Choi7, Sang-Wook Cheong10,11, Valery Kiryukhin10, and Sungkyun Choi1,2,3,10,†

  • *Present address: Forschungszentrum Jülich, Lichtenbergstrasse 1, 85747 Garching, Germany.
  • Contact author: sungkyunchoi@ibs.re.kr

Phys. Rev. Research 7, 043196 – Published 20 November, 2025

DOI: https://doi.org/10.1103/7gx9-wx2b

Abstract

Exploring ferromagnetic moments in magnetoelectric materials is of both fundamental and technological importance. It enables the control of the correlated state using an uncompensated moment. However, its material realization is challenging owing to its exclusive microscopic mechanisms. Here, we report a nearly isotropic ferromagnetic moment in the magnetoelectric antiferromagnet Co4Ta2O9, by performing dc and ac magnetic susceptibility, magnetization, and neutron diffraction measurements on identical single crystals. Combined with the group theory analysis, we demonstrate a P1 magnetic space group. This implies that physical activities can occur along any crystallographic direction, which explains the unusual magnetoelectric property of Co4Ta2O9. The ground state is classified as the M-type altermagnet based on the magnetic point group. Our study provides essential information to resolve the debate on the magnetic ground state and understand the magnetoelectric properties of the related compound with the prospect of observing and examining the P1 magnetic space group or ferromagnet in ferroelectrics.

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References (51)

  1. N. A. Spaldin and R. Ramesh, Advances in magnetoelectric multiferroics, Nat. Mater. 18, 203 (2019).
  2. M. Mostovoy, Advances in magnetoelectric multiferroics, npj Spintronics 2, 18 (2024).
  3. S.-W. Cheong and M. Mostovoy, Multiferroics: A magnetic twist for ferroelectricity, Nat. Mater. 6, 13 (2007).
  4. C. Gong, E. M. Kim, Y. Wang, G. Lee, and X. Zhang, Multiferroicity in atomic van der Waals heterostructures, Nat. Commun. 10, 2657 (2019).
  5. R. Ramesh and N. A. Spaldin, Multiferroics: Progress and prospects in thin films, Nat. Mater. 6, 21 (2007).
  6. Z. Wang, G. Xu, X. Jiang, L. Yang, Q. Gao, C. Li, D. Li, D. Liu, and B. Cui, 2D multiferroics in as-substituted bilayer αIn2Se3 with enhanced magnetic moments for next-generation nonvolatile memory device, Adv. Electron. Mater. 10, 2300642 (2024).
  7. N. A. Hill, Why are there so few magnetic ferroelectrics? J. Phys. Chem. B 104, 6694 (2000).
  8. J.-M. Hu, C.-G. Duan, C.-W. Nan, and L.-Q. Chen, Understanding and designing magnetoelectric heterostructures guided by computation: Progresses, remaining questions, and perspectives, npj Comput. Mater. 3, 18 (2017).
  9. H. Palneedi, V. Annapureddy, S. Priya, and J. Ryu, Status and perspectives of multiferroic magnetoelectric composite materials and applications, Actuators 5, 9 (2016).
  10. A. Hirohata, K. Yamada, Y. Nakatani, I.-L. Prejbeanu, B. Diény, P. Pirro, and B. Hillebrands, Review on spintronics: Principles and device applications, J. Magn. Magn. Mater. 509, 166711 (2020).
  11. C. Lu, M. Wu, L. Lin, and J.-M. Liu, Single-phase multiferroics: New materials, phenomena, and physics, Natl. Sci. Rev. 6, 653 (2019).
  12. S. Manipatruni, D. E. Nikonov, C.-C. Lin, T. A. Gosavi, H. Liu, B. Prasad, Y.-L. Huang, E. Bonturim, R. Ramesh, and I. A. Young, Scalable energy-efficient magnetoelectric spin–orbit logic, Nature (London) 565, 35 (2019).
  13. E. F. Bertaut, L. Corliss, F. Forrat, R. Aleonard, and R. Pauthenet, Etude de niobates et tantalates de metaux de transition bivalents, J. Phys. Chem. Solids 21, 234 (1961).
  14. Y. Fang, W. P. Zhou, S. M. Yan, R. Bai, Z. H. Qian, Q. Y. Xu, D. H. Wang, and Y. W. Du, Magnetic-field-induced dielectric anomaly and electric polarization in Mn4Nb2O9, J. Appl. Phys. 117, 17B712 (2015).
  15. S. N. Panja, P. Manuel, and S. Nair, Anisotropy in the magnetization and magnetoelectric response of single crystalline Mn4Ta2O9, Phys. Rev. B 103, 014422 (2021).
  16. J. H. Zhang, Y. S. Tang, L. Lin, L. Y. Li, G. Z. Zhou, B. Yang, L. Huang, X. Y. Li, G. Y. Li, S. H. Zheng, M. F. Liu, M. Zeng, D. Wu, Z. B. Yan, X. K. Huang, C. Chen, X. P. Jiang, and J.-M. Liu, Electric polarization reversal and nonlinear magnetoelectric coupling in the honeycomb antiferromagnet Fe4Nb2O9 single crystal, Phys. Rev. B 107, 024108 (2023).
  17. A. Maignan and C. Martin, Fe4Nb2O9: A magnetoelectric antiferromagnet, Phys. Rev. B 97, 161106 (2018).
  18. N. D. Khanh, N. Abe, S. Kimura, Y. Tokunaga, and T. Arima, Manipulation of electric polarization with rotating magnetic field in a honeycomb antiferromagnet Co4Nb2O9, Phys. Rev. B 96, 094434 (2017).
  19. N. Lee, D. G. Oh, S. Choi, J. Y. Moon, J. H. Kim, H. J. Shin, K. Son, J. Nuss, V. Kiryukhin, and Y. J. Choi, Highly nonlinear magnetoelectric effect in buckled-honeycomb antiferromagnetic Co4Ta2O9, Sci. Rep. 10, 12362 (2020).
  20. N. D. Khanh, N. Abe, H. Sagayama, A. Nakao, T. Hanashima, R. Kiyanagi, Y. Tokunaga, and T. Arima, Magnetoelectric coupling in the honeycomb antiferromagnet Co4Nb2O9, Phys. Rev. B 93, 075117 (2016).
  21. N. Narayanan, A. Senyshyn, D. Mikhailova, T. Faske, T. Lu, Z. Liu, B. Weise, H. Ehrenberg, R. A. Mole, W. D. Hutchison, H. Fuess, G. J. McIntyre, Y. Liu, and D. Yu, Magnetic structure and spin correlations in magnetoelectric honeycomb Mn4Ta2O9, Phys. Rev. B 98, 134438 (2018).
  22. R. Jana, D. Sheptyakov, X. Ma, J. A. Alonso, M. Pi, A. Muñoz, Z. Liu, L. Zhao, N. Su, S. Jin, X. Ma, K. Sun, D. Chen, S. Dong, Y. Chai, S. Li, and J. Cheng, Low-temperature crystal and magnetic structures of the magnetoelectric material Fe4Nb2O9, Phys. Rev. B 100, 094109 (2019).
  23. S. Choi, D. G. Oh, M. J. Gutmann, S. Pan, G. Kim, K. Son, J. Kim, N. Lee, S.-W. Cheong, Y. J. Choi, and V. Kiryukhin, Noncollinear antiferromagnetic order in the buckled honeycomb lattice of magnetoelectric Co4Ta2O9 determined by single-crystal neutron diffraction, Phys. Rev. B 102, 214404 (2020).
  24. G. Deng, G. Zhao, S. Zhu, Z. Feng, W. Ren, S. Cao, A. Studer, and G. J. McIntyre, Spin dynamics, critical scattering and magnetoelectric coupling mechanism of Mn4Nb2O9, New J. Phys. 24, 083007 (2022).
  25. A. Maignan and C. Martin, Enhancement of TN induced by magnetic dilution in the linear magnetoelectric Mn4Nb2O9, Appl. Phys. Lett. 124, 162404 (2024).
  26. R. Datta, K. Kumar, D. G. Oh, D. Kim, R. Goel, N. Lee, A. Go, Y. J. Choi, V. Kiryukhin, and S. Choi, High-resolution neutron diffraction determination of noncollinear antiferromagnetic order in the honeycomb magnetoelectric Fe4Nb2O9, Phys. Rev. B 112, 134439 (2025).
  27. S. Mugiraneza and A. M. Hallas, Tutorial: A beginner’s guide to interpreting magnetic susceptibility data with the Curie-Weiss law, Commun. Phys. 5, 95 (2022).
  28. D. A. Keen, M. J. Gutmann, and C. C. Wilson, SXD—The single-crystal diffractometer at the ISIS spallation neutron source, J. Appl. Crystallogr. 39, 714 (2006).
  29. V. Petříček, M. Dušek, and L. Palatinus, Crystallographic computing system JANA2006: General features, Z. Kristallogr. – Cryst. Mater. 229, 345 (2014).
  30. P. J. Becker and P. Coppens, Extinction within the limit of validity of the Darwin transfer equations. II. Refinement of extinction in spherical crystals of SrF2 and LiF, Acta Cryst. A 30, 148 (1974).
  31. R. C. Clark and J. S. Reid, The analytical calculation of absorption in multifaceted crystals, Acta Cryst. A 51, 887 (1995).
  32. M. Gutmann, SXD2001—A program for treating data from TOF neutron single-crystal diffraction, Acta Cryst. A 61, c164 (2005).
  33. M. Aroyo, J. Perez-Mato, D. Orobengoa, E. Tasci, G. De La Flor, and A. Kirov, Crystallography online: Bilbao crystallographic server, Bulg. Chem. Commun. 43, 183 (2011).
  34. I. E. Dzyaloshinskii, On the magneto-electrical effects in antiferromagnets, J. Exp. Theor. Phys. 10, 628 (1960).
  35. C. Topping and S. Blundell, A.C. susceptibility as a probe of low-frequency magnetic dynamics, J. Phys.: Condens. Matter 31, 013001 (2019).
  36. M. Bałanda, AC susceptibility studies of phase transitions and magnetic relaxation: Conventional, molecular and low-dimensional magnets, Acta Phys. Pol. A 124, 964 (2013).
  37. A. A. Belik and E. Takayama-Muromachi, AC susceptibility studies of multiferroic BiMnO3 and solid solutions between BiMnO3 and BiScO3, J. Phys.: Condens. Matter 20, 025211 (2008).
  38. P. Yadav, S. Lee, G. L. Pascut, J. Kim, M. J. Gutmann, X. Xu, B. Gao, S.-W. Cheong, V. Kiryukhin, and S. Choi, Noncollinear magnetic order, in-plane anisotropy, and magnetoelectric coupling in the pyroelectric honeycomb antiferromagnet Ni2Mo3O8, Phys. Rev. Res. 5, 033099 (2023).
  39. C. A. M. Mulder, A. J. van Duyneveldt, and J. A. Mydosh, Susceptibility of the CuMn spin-glass: Frequency and field dependences, Phys. Rev. B 23, 1384 (1981).
  40. M. Ceglarska, O. Stefańczyk, S.-i. Ohkoshi, and A. M. Majcher-Fitas, Influence of magnetic dilution on relaxation processes in a solid solution comprising tetrahedral Co/Zn II complexes, Dalton Trans. 49, 6807 (2020).
  41. H. Katsura, N. Nagaosa, and A. V. Balatsky, Spin current and magnetoelectric effect in noncollinear magnets, Phys. Rev. Lett. 95, 057205 (2005).
  42. I. A. Sergienko, C. Şen, and E. Dagotto, Ferroelectricity in the magnetic e-phase of orthorhombic perovskites, Phys. Rev. Lett. 97, 227204 (2006).
  43. T.-H. Arima, Ferroelectricity induced by proper-screw type magnetic order, J. Phys. Soc. Jpn. 76, 073702 (2007).
  44. S.-W. Cheong, SOS: Symmetry-operational similarity, npj Quantum Mater. 4, 53 (2019).
  45. Y. Fang, Y. Q. Song, W. P. Zhou, R. Zhao, R. J. Tang, H. Yang, L. Y. Lv, S. G. Yang, D. H. Wang, and Y. W. Du, Large magnetoelectric coupling in Co4Nb2O9, Sci. Rep. 4, 3860 (2014).
  46. W. Liu, L. Li, L. Tao, Z. Liu, X. Wang, Y. Sui, and Y. Wang, Evidence of linear magnetoelectric effect in Mn4Nb2O9 single crystal, J. Alloys Compd. 886, 161272 (2021).
  47. I. Mazin, Editorial: Altermagnetism—A new punch line of fundamental magnetism, Phys. Rev. X 12, 040002 (2022).
  48. S.-W. Cheong and F.-T. Huang, Altermagnetism with non-collinear spins, npj Quantum Mater. 9, 13 (2024).
  49. S.-W. Cheong and F.-T. Huang, Altermagnetism classification, npj Quantum Mater. 10, 38 (2025).
  50. S. Choi, V. Kiryukhin, and M. Gutmann, Reliable determination of noncollinear magnetic order of Co4Nb2O9 to explain its nontrivial magnetoelectricity, STFC ISIS Neutron and Muon Source (2020), doi:10.5286/ISIS.E.RB2000175-1.
  51. D. Hüser, L. E. Wenger, A. J. van Duyneveldt, and J. A. Mydosh, Dynamical behavior of the susceptibility around the freezing temperature in (Eu,Sr)S, Phys. Rev. B 27, 3100 (1983).

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