journal article·2024-05-22Open access

Higher order exchange driven noncoplanar magnetic state and large anomalous Hall effects in electron doped kagome magnet Mn3Sn

Charanpreet Singh, Sk Jamaluddin, Subhadip Pradhan, Ashis K. Nandy, Masashi Tokunaga, Maxim Avdeev, Ajaya K. Nayak

npj Quantum Materials· Volume 9· Issue 1

Abstract

Abstract Owing to geometrical frustration in the kagome lattice, Mn3Sn displays a 120° in-plane triangular antiferromagnetic order, a manifestation of exchange interaction within the Heisenberg model. Here, we show the formation of a tunable noncoplanar magnetic ground state stabilized by higher-order exchange interactions in electron-doped Mn3Sn samples. Our density Functional Theory calculations reveal that the higher-order exchange induces a partial out-of-plane alignment of the Mn moments, resulting in a canted magnetic state, further experimentally confirmed by neutron diffraction study along with 60 T magnetic and Hall resistivity measurements. Interestingly, we find a large scalar spin chirality-induced Hall signal depending on the degree of non-coplanarity of the Mn moments. Additionally, we demonstrate simultaneous manipulation of two-component order-parameter in the system, where the two Hall signals can be independently manipulated. The present study explores the quantum phenomena associated with the coexistence of multiple magnetic orders and their prospective use in spintronic devices.
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Research context

OpenAlex topics: Advanced Condensed Matter Physics · Magnetic and transport properties of perovskites and related materials · Topological Materials and Phenomena

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References (57)

Show source-provided references
1. Adler, J. & Oitmaa, J. The Heisenberg ferromagnet with higher-order exchange. J. Phys. C. 12, 575 (1979).10.1088/0022-3719/12/3/023 ↗
2. Kurz, P., Bihlmayer, G., Hirai, K. & Blügel, S. Three-dimensional spin structure on a two-dimensional lattice: Mn/Cu(111). Phys. Rev. Lett. 86, 1106 (2001).10.1103/PhysRevLett.86.1106 ↗
3. Krönlein, A. Magnetic ground state stabilized by three-site interactions: Fe/Rh(111). Phys. Rev. Lett. 120, 207202 (2018).10.1103/PhysRevLett.120.207202 ↗
4. Spethmann, J. et al. Discovery of magnetic single- and triple-q states in Mn/Re(0001). Phys. Rev. Lett. 124, 227203 (2020).10.1103/PhysRevLett.124.227203 ↗
5. Hoffmann, M. & Blügel, S. Systematic derivation of realistic spin models for beyond-Heisenberg solids. Phys. Rev. B 101, 024418 (2020).10.1103/PhysRevB.101.024418 ↗
6. Kawamura, H. Anomalous Hall effect as a probe of the chiral order in spin glasses. Phys. Rev. Lett. 90, 047202 (2003).10.1103/PhysRevLett.90.047202 ↗
7. Taniguchi, T. et al. Direct observation of chiral susceptibility in the canonical spin glass AuFe. Phys. Rev. Lett. 93, 246605 (2004).10.1103/PhysRevLett.93.246605 ↗
8. Pureur, P., Fabris, F. W., Schaf, J. & Campbell, I. A. Chiral susceptibility in canonical spin glass and re-entrant alloys from Hall effect measurements. Europhys. Lett. 67, 123 (2004).10.1209/epl/i2004-10042-8 ↗
9. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous hall effect. Rev. Mod. Phys. 82, 1539 (2010).10.1103/RevModPhys.82.1539 ↗
10. Taguchi, Y., Oohara, Y., Yoshizawa, H., Nagaosa, N. & Tokura, Y. Spin chirality, Berry phase, and anomalous Hall effect in a frustrated ferromagnet. Science 291, 2573 (2001).10.1126/science.1058161 ↗
11. Taguchi, Y. et al. Magnetic field induced sign reversal of the anomalous Hall effect in a pyrochlore ferromagnet Nd2Mo2O7: evidence for a spin chirality mechanism. Phys. Rev. Lett. 90, 257202 (2003).10.1103/PhysRevLett.90.257202 ↗
12. Fabris, F. W., Pureur, P., Schaf, J., Vieira, V. N. & Campbell, I. A. Chiral anomalous Hall effect in reentrant AuFe alloys. Phys. Rev. B 74, 214201 (2006).10.1103/PhysRevB.74.214201 ↗
13. Machida, Y., Nakatsuji, S., Onoda, S., Tayama, T. & Sakakibara, T. Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order. Nature 463, 210 (2010).10.1038/nature08680 ↗
14. Nomoto, T. & Arita, R. Cluster multipole dynamics in noncollinear antiferromagnets. Phys. Rev. Res. 2, 012045 (2020).10.1103/PhysRevResearch.2.012045 ↗
15. Higo, T. et al. Large magneto-optical Kerr effect and imaging of magnetic octupole domains in an antiferromagnetic metal. Nat. Photon. 12, 73 (2018).10.1038/s41566-017-0086-z ↗
16. Kimata, M. et al. X-ray study of ferroic octupole order producing anomalous Hall effect. Nat. Commun. 12, 5582 (2021).10.1038/s41467-021-25834-7 ↗
17. Yang, H. et al. Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn. N. J. Phys. 19, 015008 (2017).10.1088/1367-2630/aa5487 ↗
18. Nayak, A. K. et al. Large anomalous Hall effect driven by a nonvanishing Berry curvature in the noncolinear antiferromagnet Mn3Ge. Sci. Adv. 2, e1501870 (2016).10.1126/sciadv.1501870 ↗
19. Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature 527, 212 (2015).10.1038/nature15723 ↗
20. Chen, T. et al. Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn3X, X = Sn, Ge. Nat. Commun. 12, 572 (2021).10.1038/s41467-020-20838-1 ↗
21. Pradhan, S., Samanta, K., Saha, K. & Nandy, A. K. Vector-chirality driven topological phase transitions in noncollinear antiferromagnets and its impact on anomalous Hall effect. Commun. Phys. 6, 272 (2023).10.1038/s42005-023-01385-9 ↗
22. Kimata, M. et al. Magnetic and magnetic inverse spin Hall effects in a non-collinear antiferromagnet. Nature 565, 627–630 (2019).10.1038/s41586-018-0853-0 ↗
23. Železnyˇ, J., Zhang, Y., Felser, C. & Yan, B. Spin-polarized current in noncollinear antiferromagnets. Phys. Rev. Lett. 119, 187204 (2017).10.1103/PhysRevLett.119.187204 ↗
24. Tsai, H. et al. Electrical manipulation of a topological antiferromagnetic state. Nature 580, 608–613 (2020).10.1038/s41586-020-2211-2 ↗
25. Higo, T. et al. Perpendicular full switching of chiral antiferromagnetic order by current. Nature 607, 474–479 (2022).10.1038/s41586-022-04864-1 ↗
26. Khadka, D. et al. Kondo physics in antiferromagnetic Weyl semimetal Mn3+xSn1−x films. Sci. Adv. 6, eabc1977 (2020).10.1126/sciadv.abc1977 ↗
27. Sung, N. H. et al. Comparing the anomalous Hall effect and the magneto-optical Kerr effect through antiferromagnetic phase transitions in Mn3Sn. Appl. Phys. Lett. 112, 132406 (2018).10.1063/1.5021133 ↗
28. Singh, C. et al. Pressure controlled trimerization for switching of anomalous Hall effect in triangular antiferromagnet Mn3Sn. Phys. Rev. Res. 2, 043366 (2020).10.1103/PhysRevResearch.2.043366 ↗
29. Ikhlas, M., Tomita, T. & Nakatsuji, S. Sample quality dependence of the magnetic properties in non-collinear antiferromagnet Mn3Sn. JPS Conf. Proc. 30, 011177 (2020).
30. Park, P. et al. Magnetic excitations in non-collinear antiferromagnetic Weyl semimetal Mn3Sn. npj Quant. Mater. 3, 63 (2018).10.1038/s41535-018-0137-9 ↗
31. Tomiyoshi, S., Abe, S., Yamaguchi, Y., Yamauchi, H. & Yamamoto, H. Triangular spin structure and weak ferromagnetism of Mn3Sn at low temperature. J. Magn. Magn. Mater. 54, 1001 (1986).10.1016/0304-8853(86)90353-7 ↗
32. Feng, W. J. et al. Glassy ferromagnetism in Ni3Sn-type Mn3. 1Sn0.9. Phys. Rev. B 73, 205105 (2006).10.1103/PhysRevB.73.205105 ↗
33. Rout, P. K., Madduri, P. P., Manna, S. K. & Nayak, A. K. Field-induced topological Hall effect in the noncoplanar triangular antiferromagnetic geometry of Mn3Sn. Phys. Rev. B 99, 094430 (2019).10.1103/PhysRevB.99.094430 ↗
34. Felez, M. R., Coelho, A. A. & Gama, S. Magnetic properties of Mn3−xFexSn compounds with tuneable Curie temperature by Fe content for thermomagnetic motors. J. Magn. Magn. Mater. 444, 280 (2017).10.1016/j.jmmm.2017.08.028 ↗
35. Liu, J. et al. Spontaneous magnetic bubbles and large topological Hall effect in Mn 3−x Fex Sn compound. Scr. Mater. 187, 268 (2020).10.1016/j.scriptamat.2020.06.034 ↗
36. Liu, Z. H. et al. Evolution of diverse Hall effects during the successive magnetic phase transitions in Mn2. 5Fe0.6Sn0.9. J. Phys.: Condens. Matter 33, 115803 (2021).
37. Kresse, G. & Hafner, J. Abinitio molecular dynamics for liquid metals. Phys. Rev. B 47, 558 (1993).10.1103/PhysRevB.47.558 ↗
38. Kresse, G. & Hafner, J. Abinitio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium. Phys. Rev. B 49, 14251 (1994).10.1103/PhysRevB.49.14251 ↗
39. Kresse, G. & Furthmüller, J. Efficient iterative schemes for abinitio total-energy calculations using a plane-wave basis set. Phys. Rev. B. 54, 11169 (1996).10.1103/PhysRevB.54.11169 ↗
40. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15 (1996).10.1016/0927-0256(96)00008-0 ↗
41. Sales, B. C., Saparov, B., McGuire, M. A., Singh, D. J. & Parker, D. S. Ferromagnetism of Fe3Sn and alloys. Sci. Rep. 4, 7024 (2014).10.1038/srep07024 ↗
42. Grytsiuk, S. Topological-chiral magnetic interactions driven by emergent orbital magnetism. Nat. Commun. 11, 511 (2020).10.1038/s41467-019-14030-3 ↗
43. Brinker, S., dos Santos Dias, M. & Lounis, S. Prospecting chiral multisite interactions in prototypical magnetic systems. Phys. Rev. Res. 2, 033240 (2020).10.1103/PhysRevResearch.2.033240 ↗
44. Mendive-Tapia, E. & Staunton, J. B. Ab initio theory of the Gibbs free energy and a hierarchy of local moment correlation functions in itinerant electron systems: The magnetism of the Mn3A materials class. Phys. Rev. B 99, 144424 (2019).10.1103/PhysRevB.99.144424 ↗
45. Yu, T. et al. Correlated electronic structure of the kagome metal Mn3Sn. Phys. Rev. B 106, 205103 (2022).10.1103/PhysRevB.106.205103 ↗
46. Zeng, C., Yao, Y., Niu, Q. & Weitering, H. H. Linear magnetization dependence of the intrinsic anomalous Hall effect. Phys. Rev. Lett. 96, 037204 (2006).10.1103/PhysRevLett.96.037204 ↗
47. Wang, Q. et al. Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions. Nat. Commun. 9, 3681 (2018).10.1038/s41467-018-06088-2 ↗
48. Li, X., Koo, J., Zhu, Z., Behnia, K. & Yan, B. Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn3Sn. Nat. Commun. 14, 1642 (2023).10.1038/s41467-023-37076-w ↗
49. Kübler, J. & Felser, C. Weyl fermions in antiferromagnetic Mn3Sn and Mn3Ge. Europhys. Lett. 120, 47002 (2018).10.1209/0295-5075/120/47002 ↗
50. Bedow, J. et al. Topological superconductivity induced by a triple-q magnetic structure. Phys. Rev. B 102, 180504 (2020).10.1103/PhysRevB.102.180504 ↗
51. Avdeev, M. & Hester, J. R. ECHIDNA: a decade of high-resolution neutron powder diffraction at OPAL. J. Appl. Crystallogr. 51, pp.1597-1604 (2018).10.1107/S1600576718014048 ↗
52. Rodriguez-Carvajal, J. Physica B: Condensed Matter. Vol. 192 (1-2), p. 55–6 (1993).10.1016/0921-4526(93)90108-I ↗
53. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953 (1994).10.1103/PhysRevB.50.17953 ↗
54. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).10.1103/PhysRevLett.77.3865 ↗
55. Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I. & Vanderbilt, D. Maximally localized Wannier functions: theory and applications. Rev. Mod. Phys. 84, 1419–1475 (2012).10.1103/RevModPhys.84.1419 ↗
56. Mostofi, A. A. et al. An updated version of Wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 185, 2309–2310 (2014).10.1016/j.cpc.2014.05.003 ↗
57. Tsirkin, S. S. High performance Wannier interpolation of Berry curvature and related quantities with WannierBerri code. npj Comput. Mater. 7, 33 (2021).10.1038/s41524-021-00498-5 ↗