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Circular Dichroism in Resonant Inelastic X-Ray Scattering: Probing Altermagnetic Domains in MnTe
Phys. Rev. Lett. 135, 196502 – Published 6 November, 2025
DOI: https://doi.org/10.1103/512v-n5f9
Abstract
X-ray magnetic circular dichroism provides a means to identify ferromagnetic, chiral, and altermagnetic orders via their time-reversal-symmetry () breaking. However, the symmetry properties that govern circular dichroism (CD) in resonant inelastic x-ray scattering (RIXS) remain poorly understood. We show that, due to the inherent irreversibility of the RIXS process, RIXS-CD does not require breaking to be present, but reflects the change in unitary symmetries associated with magnetic ordering. Using the altermagnetic MnTe as a model system, we observe an azimuthal-angle dependent RIXS-CD signal in the magnon excitations. Our findings highlight the sensitivity of RIXS-CD to the relativistic symmetry in magnetic systems and its potential application as a probe of magnetic domains.
Physics Subject Headings (PhySH)
Corrections
17 December, 2025
Correction: In the equation for the Kramers-Heisenberg formula for the RIXS cross section, a misplaced superscript has been fixed. A support statement has been added to the Acknowledgments section.
synopsis
Mapping Altermagnetic Domains
Two new techniques use circularly polarized x rays to characterize a new and potentially useful form of magnetism.
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References (39)
- G. van der Laan and B. T. Thole, Strong magnetic x-ray dichroism in absorption spectra of transition-metal ions, Phys. Rev. B 43, 13401 (1991).
- C. T. Chen, Y. U. Idzerda, H.-J. Lin, N. V. Smith, G. Meigs, E. Chaban, G. H. Ho, E. Pellegrin, and F. Sette, Experimental confirmation of the x-ray magnetic circular dichroism sum rules for iron and cobalt, Phys. Rev. Lett. 75, 152 (1995).
- M. Kimata, N. Sasabe, K. Kurita, Y. Yamasaki, C. Tabata, Y. Yokoyama, Y. Kotani, M. Ikhlas, T. Tomita, K. Amemiya, H. Nojiri, S. Nakatsuji, T. Koretsune, H. Nakao, T.-h. Arima, and T. Nakamura, X-ray study of ferroic octupole order producing anomalous Hall effect, Nat. Commun. 12, 5582 (2021).
- S. Sakamoto, T. Higo, M. Shiga, K. Amemiya, S. Nakatsuji, and S. Miwa, Observation of spontaneous x-ray magnetic circular dichroism in a chiral antiferromagnet, Phys. Rev. B 104, 134431 (2021).
- A. Hariki, A. Dal Din, O. J. Amin, T. Yamaguchi, A. Badura, D. Kriegner, K. W. Edmonds, R. P. Campion, P. Wadley, D. Backes, L. S. I. Veiga, S. S. Dhesi, G. Springholz, L. Šmejkal, K. Výborný, T. Jungwirth, and J. Kuneš, X-ray magnetic circular dichroism in altermagnetic -MnTe, Phys. Rev. Lett. 132, 176701 (2024).
- K. Ishito, H. Mao, Y. Kousaka, Y. Togawa, S. Iwasaki, T. Zhang, S. Murakami, J.-i. Kishine, and T. Satoh, Truly chiral phonons in -HgS, Nat. Phys. 19, 35 (2023).
- H. Ueda, M. García-Fernández, S. Agrestini, C. P. Romao, J. van den Brink, N. A. Spaldin, K.-J. Zhou, and U. Staub, Chiral phonons in quartz probed by x-rays, Nature (London) 618, 946 (2023).
- L. J. P. Ament, M. van Veenendaal, T. P. Devereaux, J. P. Hill, and J. van den Brink, Resonant inelastic x-ray scattering studies of elementary excitations, Rev. Mod. Phys. 83, 705 (2011).
- F. M. F. de Groot, M. W. Haverkort, H. Elnaggar, A. Juhin, K.-J. Zhou, and P. Glatzel, Resonant inelastic x-ray scattering, Nat. Rev. Methods Primers 4, 45 (2024).
- M. Mitrano, S. Johnston, Y.-J. Kim, and M. P. M. Dean, Exploring quantum materials with resonant inelastic x-ray scattering, Phys. Rev. X 14, 040501 (2024).
- J. Li, Y. Gu, Y. Takahashi, K. Higashi, T. Kim, Y. Cheng, F. Yang, J. Kuneš, J. Pelliciari, A. Hariki, and V. Bisogni, Single- and multimagnon dynamics in antiferromagnetic thin films, Phys. Rev. X 13, 011012 (2023).
- H. Elnaggar, A. Nag, M. W. Haverkort, M. Garcia-Fernandez, A. Walters, R.-P. Wang, K.-J. Zhou, and F. de Groot, Magnetic excitations beyond the single- and double-magnons, Nat. Commun. 14, 2749 (2023).
- L. Šmejkal, J. Sinova, and T. Jungwirth, Emerging research landscape of altermagnetism, Phys. Rev. X 12, 040501 (2022).
- L. Šmejkal, J. Sinova, and T. Jungwirth, Beyond conventional ferromagnetism and antiferromagnetism: A phase with nonrelativistic spin and crystal rotation symmetry, Phys. Rev. X 12, 031042 (2022).
- L. Šmejkal, A. H. MacDonald, J. Sinova, S. Nakatsuji, and T. Jungwirth, Anomalous Hall antiferromagnets, Nat. Rev. Mater. 7, 482 (2022).
- K.-H. Ahn, A. Hariki, K.-W. Lee, and J. Kuneš, Antiferromagnetism in as -wave pomeranchuk instability, Phys. Rev. B 99, 184432 (2019).
- S. Hayami, Y. Yanagi, and H. Kusunose, Momentum-dependent spin splitting by collinear antiferromagnetic ordering, J. Phys. Soc. Jpn. 88, 123702 (2019).
- R. D. Gonzalez Betancourt, J. Zubáč, R. Gonzalez-Hernandez, K. Geishendorf, Z. Šobáň, G. Springholz, K. Olejník, L. Šmejkal, J. Sinova, T. Jungwirth, S. T. B. Goennenwein, A. Thomas, H. Reichlová, J. Železný, and D. Kriegner, Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor, Phys. Rev. Lett. 130, 036702 (2023).
- M. Naka, S. Hayami, H. Kusunose, Y. Yanagi, Y. Motome, and H. Seo, Spin current generation in organic antiferromagnets, Nat. Commun. 10, 4305 (2019).
- A. Hariki, T. Okauchi, Y. Takahashi, and J. Kuneš, Determination of the Néel vector in rutile altermagnets through x-ray magnetic circular dichroism: The case of , Phys. Rev. B 110, L100402 (2024).
- A. Hariki, K. Sakurai, T. Okauchi, and J. Kuneš, Separating altermagnetic and ferromagnetic effects in x-ray magnetic dichroism of rutile , npj Quantum Mater. 10, 49 (2025).
- O. J. Amin et al., Nanoscale imaging and control of altermagnetism in MnTe, Nature (London) 636, 348 (2024).
- K.-J. Zhou et al., I21: An advanced high-resolution resonant inelastic X-ray scattering beamline at Diamond Light Source, J. Synchrotron Radiat. 29, 563 (2022).
- T. Aoyama and K. Ohgushi, Piezomagnetic properties in altermagnetic MnTe, Phys. Rev. Mater. 8, L041402 (2024).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/512v-n5f9 for the details of sample characterization, the incident energy dependence of the RIXS spectra, the symmetry properties of the RIXS cross section, the computational methods, and the procedure for evaluating domain populations, which includes Ref. [26].
- T. Osumi, S. Souma, T. Aoyama, K. Yamauchi, A. Honma, K. Nakayama, T. Takahashi, K. Ohgushi, and T. Sato, Observation of a giant band splitting in altermagnetic MnTe, Phys. Rev. B 109, 115102 (2024).
- M. W. Haverkort, Theory of resonant inelastic x-ray scattering by collective magnetic excitations, Phys. Rev. Lett. 105, 167404 (2010).
- R.-P. Wang, A. Hariki, A. Sotnikov, F. Frati, J. Okamoto, H.-Y. Huang, A. Singh, D.-J. Huang, K. Tomiyasu, C.-H. Du, J. Kuneš, and F. M. F. de Groot, Excitonic dispersion of the intermediate spin state in revealed by resonant inelastic x-ray scattering, Phys. Rev. B 98, 035149 (2018).
- A. Hariki, M. Winder, and J. Kuneš, Continuum charge excitations in high-valence transition-metal oxides revealed by resonant inelastic x-ray scattering, Phys. Rev. Lett. 121, 126403 (2018).
- A. Hariki, M. Winder, T. Uozumi, and J. Kuneš, LDA + DMFT approach to resonant inelastic x-ray scattering in correlated materials, Phys. Rev. B 101, 115130 (2020).
- M. Winder, A. Hariki, and J. Kuneš, X-ray spectroscopy of the rare-earth nickelate : LDA + DMFT study, Phys. Rev. B 102, 085155 (2020).
- D. Kriegner, K. Výborný, K. Olejník, H. Reichlová, V. Novák, X. Marti, J. Gazquez, V. Saidl, P. Němec, V. V. Volobuev, G. Springholz, V. Holý, and T. Jungwirth, Multiple-stable anisotropic magnetoresistance memory in antiferromagnetic MnTe, Nat. Commun. 7, 11623 (2016).
- W. Szuszkiewicz, E. Dynowska, B. Witkowska, and B. Hennion, Spin-wave measurements on hexagonal MnTe of NiAs-type structure by inelastic neutron scattering, Phys. Rev. B 73, 104403 (2006).
- Z. Liu, M. Ozeki, S. Asai, S. Itoh, and T. Masuda, Chiral split magnon in altermagnetic MnTe, Phys. Rev. Lett. 133, 156702 (2024).
- D. Jost, R. B. Regmi, S. Sahel-Schackis, M. Scheufele, M. Neuhaus, R. Nickel, F. Yakhou, K. Kummer, N. Brookes, L. Shen, G. L. Dakovski, N. J. Ghimire, S. Geprägs, and M. F. Kling, Chiral altermagnon in MnTe, arXiv:2501.17380.
- H. A. Kramers and W. Heisenberg, Über die streuung von strahlung durch atome, Z. Phys. 31, 681 (1925).
- S. Nakatsuji and R. Arita, Topological magnets: Functions based on Berry phase and multipoles, Annu. Rev. Condens. Matter Phys. 13, 119 (2022).
- S.-W. Cheong and F.-T. Huang, Altermagnetism with non-collinear spins, npj Quantum Mater. 9, 13 (2024).
- 10.5281/zenodo.17103869