Altermagnetism classification
Source abstract
Abstract
Altermagnets are magnetic states with fully compensated spins and broken PT ( PT : parity times time reversal) symmetry (i.e., spin-split bands). We classify three kinds of altermagnets in terms of broken P and T . Furthermore, strong altermagnets have spin-split bands without spin-orbit coupling (SOC), and weak altermagnets has spin-split bands only with non-zero SOC. These strong vs. weak altermagnets can be identified from the total number of symmetric spin rotation operations.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Multiferroics and related materials · Magnetic and transport properties of perovskites and related materials · Magnetic properties of thin films
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (52)
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1. Yuan, L. D., Wang, Z., Luo, J. W., Rashba, E. I. & Zunger, A. Giant momentum-dependent spin splitting in centrosymmetric low-Z antiferromagnets. Phys. Rev. B 102, 014412 (2020).10.1103/PhysRevB.102.014422 ↗
2. Hayami, S., Yanagi, Y. & Kusunose, H. Momentum-dependent spin splitting by collinear antiferromagnetic ordering. J. Phys. Soc. Jpn. 88, 123702 (2019).10.7566/JPSJ.88.123702 ↗
3. Šmejkal, L., Sinova, J. & Jungwirth, T. Beyond conventional ferromagnetism and antiferromagnetism: a phase with nonrelativistic spin and crystal rotation symmetry. Phys. Rev. X 12, 031042 (2022).
4. Mazin, I. Editorial: Altermagnetism - a new punch line of fundamental magnetism. Phys. Rev. X 12, 040002 (2022).
5. Šmejkal, L., Sinova, J. & Jungwirth, T. Emerging research landscape of altermagnetism. Phys. Rev. X 12, 040501 (2022).
6. Fernandes, R. M., De Carvalho, V. S., Birol, T. & Pereira, R. G. Topological transition from nodal to nodeless Zeeman splitting in altermagnets. Phy. Rev. B 109, 024404 (2024).10.1103/PhysRevB.109.024404 ↗
7. Bhowal, S. & Spaldin, N. A. Ferroically ordered magnetic octupoles in d-wave altermagnets. Phys. Rev. X 14, 011019 (2024).
8. Cheong, S. -W. & Huang, F. -T. Altermagnetism with non-collinear spins. npj quantum Mater. 9, 13 (2024).10.1038/s41535-024-00626-6 ↗
9. Radaelli, P. G. A. tensorial approach to ‘altermagnetism’. Phys. Rev. B 110, 214428 (2024).10.1103/PhysRevB.110.214428 ↗
10. Hayami, S., Yanagi, Y. & Kusunose, H. Spontaneous antisymmetric spin splitting in noncollinear antiferromagnets without spin-orbit coupling. Phys. Rev. B 101, 220403 (2020).10.1103/PhysRevB.101.220403 ↗
11. Zhu, Y. P. et al. Observation of plaid-like spin splitting in a noncoplanar antiferromagnet. Nature 626, 523–528 (2024).10.1038/s41586-024-07023-w ↗
12. Cheong, S. -W. & Huang, F. -T. Emergent phenomena with broken parity-time symmetry: Odd-order versus even-order effects. Phys. Rev. B 109, 104413 (2024).10.1103/PhysRevB.109.104413 ↗
13. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2009).10.1103/RevModPhys.82.1539 ↗
14. Šmejkal, L. et al. Crystal time-reversal symmetry breaking and spontaneous Hall effect in collinear antiferromagnets. Sci. Adv. 6, eaaz8809 (2020).10.1126/sciadv.aaz8809 ↗
15. Aoyama, T. & Ohgushi, K. Piezomagnetic properties in altermagnetic MnTe. Phys. Rev. Mater. 8, L041402 (2024).10.1103/PhysRevMaterials.8.L041402 ↗
16. Ikhlas, M. et al. Piezomagnetic switching of the anomalous Hall effect in an antiferromagnet at room temperature. Nat. Phys. 18, 1086–1093 (2022).10.1038/s41567-022-01645-5 ↗
17. Cheong, S. -W. & Huang, F. -T. Kinetomagnetism of chirality and its applications. Appl. Phys. Lett. 125, 060501 (2024).10.1063/5.0198953 ↗
18. Litvin, D. B. Spin point groups. Acta cryst. A 33, 279–287 (1977).10.1107/S0567739477000709 ↗
19. Liu, P., Li, J., Han, J., Wan, X. & Liu, Q. Spin-group symmetry in magnetic materials with negligible spin-orbit coupling. Phys. Rev. X 12, 021016 (2022).
20. Brinkman, W. F. & Elliott, R. J. Theory of spin-space groups. Proc. R. Soc. Lond. A 294, 343–358 (1966).10.1098/rspa.1966.0211 ↗
21. Özdemir, ŞK., Rotter, S., Nori, F. & Yang, L. Parity–time symmetry and exceptional points in photonics. Nat. Mater. 18, 783–798 (2019).10.1038/s41563-019-0304-9 ↗
22. Cheong, S. -W. & Huang, F. -T. Trompe L’oeil Ferromagnetism—magnetic point group analysis. npj Quantum Mater. 8, 73 (2023).10.1038/s41535-023-00603-5 ↗
23. Yoda, T., Yokoyama, T. & Murakami, S. Current-induced orbital and spin magnetizations in crystals with helical structure. Sci. Rep. 5, 12024 (2015).10.1038/srep12024 ↗
24. Ma, H. Y. et al. Multifunctional antiferromagnetic materials with giant piezomagnetism and noncollinear spin current. Nat. Commun. 12, 2846 (2021).10.1038/s41467-021-23127-7 ↗
25. Bozorth, R. M. & Walsh, D. E. Ferromagnetic moment of CoMnO3. J. Phys. Chem. Sol. 5, 299–301 (1958).10.1016/0022-3697(58)90033-7 ↗
26. Koizumi, H., Inoue, J. I. & Yanagihara, H. Magnetic anisotropy and orbital angular momentum in the orbital ferrimagnet CoMnO3. Phy. Rev. B 100, 224425 (2019).10.1103/PhysRevB.100.224425 ↗
27. Gallego, S. V. et al. MAGNDATA: towards a database of magnetic structures. I. The commensurate case. J. Appl. Crystallogr. 49, 1750–1776 (2016).10.1107/S1600576716012863 ↗
28. Brown, P. J. & Forsyth, J. B. A neutron diffraction study of weak ferromagnetism in nickel fluoride. J. Phys. C. 14, 5171–5184 (1981).10.1088/0022-3719/14/33/023 ↗
29. Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature 527, 212–215 (2015).10.1038/nature15723 ↗
30. Moriya, T. Piezomagnetism in CoF2. J. Phys. Chem. Solids 11, 73–77 (1959).10.1016/0022-3697(59)90043-5 ↗
31. Jauch, W., Reehuis, M. & Schultz, A. J. γ-ray and neutron diffraction studies of CoF2: magnetostriction, electron density and magnetic moments. Acta cryst. A 60, 51–57 (2004).10.1107/S0108767303022803 ↗
32. Cheong, S. -W. & Mostovoy, M. Multiferroics: a magnetic twist for ferroelectricity. Nat. Mater. 6, 13–20 (2007).10.1038/nmat1804 ↗
33. Kenzelmann, M. et al. Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3. Phy. Rev. Lett. 95, 087206 (2005).10.1103/PhysRevLett.95.087206 ↗
34. Park, S., Choi, Y. J., Zhang, C. L. & Cheong, S. W. Ferroelectricity in an S=1/2 chain cuprate. Phy. Rev. Lett. 98, 057601 (2007).10.1103/PhysRevLett.98.057601 ↗
35. Tang, Y. S. et al. Metamagnetic transitions and magnetoelectricity in the spin-1 honeycomb antiferromagnet Ni2Mo3O8. Phys. Rev., B 103, 014112 (2021).10.1103/PhysRevB.103.014112 ↗
36. Yadav, P. et al. Noncollinear magnetic order, in-plane anisotropy, and magnetoelectric coupling in a pyroelectric honeycomb antiferromagnet Ni2Mo3O8. Phy. Rev. Res. 5, 033099 (2024).10.1103/PhysRevResearch.5.033099 ↗
37. Hastings, J. M., Elliott, N. & Corliss, L. M. Antiferromagnetic structures of MnS2, MnSe2, and MnTe2. Phys. Rev. 115, 13–17 (1959).10.1103/PhysRev.115.13 ↗
38. Muñoz, A. et al. Complex magnetism and magnetic structures of the metastable HoMnO3 perovskite. Inorg. Chem. 40, 1020 (2001).10.1021/ic0011009 ↗
39. Yatsushiro, M., Kusunose, H. & Hayami, S. Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena. Phys. Rev. B 104, 054412 (2021).10.1103/PhysRevB.104.054412 ↗
40. Yuan, L. D., Wang, Z., Luo, J. W. & Zunger, A. Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling. Phys. Rev. Mater. 5, 014409 (2021).10.1103/PhysRevMaterials.5.014409 ↗
41. Hahn, T. International tables for crystallography. Volume A, Space-group symmetry, (International Union of Crystallography by Kluwer Academic Publishers, Dordrecht, 1996).
42. Wu, S. et al. Incommensurate magnetism near quantum criticality in CeNiAsO. Phys. Rev. Lett. 122, 197203 (2019).10.1103/PhysRevLett.122.197203 ↗
43. Anna Birk, H. et al. P-wave magnets. arXiv:2309.01607 (2024).
44. Mazin, I. I. Altermagnetism in MnTe: Origin, predicted manifestations, and routes to detwinning. Phys. Rev. B 107, L100418 (2023).10.1103/PhysRevB.107.L100418 ↗
45. Kunitomi, N., Hamaguchi, Y. & Anzai, S. Neutron diffraction study on manganese telluride. J. Phys. Colloq. 25, 568–574 (1964).
46. Wang, Y. et al. Unveiling hidden ferrimagnetism and giant magnetoelectricity in polar magnet Fe2Mo3O8. Sci. Rep. 5, 12268 (2015).10.1038/srep12268 ↗
47. Kurumaji, T., Ishiwata, S. & Tokura, Y. Diagonal magnetoelectric susceptibility and effect of Fe-doping in a polar ferrimagnet Mn2Mo3O8. Phys. Rev. B 95, 045142 (2016).10.1103/PhysRevB.95.045142 ↗
48. Krempaský, J. et al. Altermagnetic lifting of Kramers spin degeneracy. Nature 626, 517–522 (2023).10.1038/s41586-023-06907-7 ↗
49. 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 ↗
50. Park, P. et al. Magnetic excitations in non-collinear antiferromagnetic Weyl semimetal Mn3Sn. npj Quantum Mater. 3, 63 (2018).10.1038/s41535-018-0137-9 ↗
51. Liu, J. & Balents, L. Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn3Sn/Ge. Phys. Rev. Lett. 119, 087202 (2017).10.1103/PhysRevLett.119.087202 ↗
52. Chen, H., Niu, Q. & Macdonald, A. H. Anomalous hall effect arising from noncollinear antiferromagnetism. Phys. Rev. Lett. 112, 017205 (2014).10.1103/PhysRevLett.112.017205 ↗