- Letter
- Open Access
Magnetic structure of in view of altermagnetism
Phys. Rev. B 108, L121103 – Published 5 September, 2023
DOI: https://doi.org/10.1103/PhysRevB.108.L121103
Abstract
The magnetic structure of and the Ru atomic configuration are unknown. A magnetic structure is inferred by confronting measured and calculated Bragg diffraction patterns and adjusting the latter to achieve satisfactory agreement. An accepted pattern, a magnetic symmetry, includes symmetry of sites occupied by the magnetic ions. As a realistic starting point, we provide diffraction patterns for a magnetic symmetry of , a descendent of the tetragonal parent structure, which accommodates a departure of Ru axial dipoles from the crystal c axis. A chiral signal and piezomagnetic effect are permitted, and a linear magnetoelectric effect forbidden. Features of the neutron diffraction pattern test the nonrelativistic requirement of altermagnetism, and we scrutinize published room-temperature data. Specifically, one Bragg point is consistent with Ru orbital angular momentum and magnetic quadrupole both zero, and the latter result is not expected from nonrelativistic altermagnetism. Azimuthal angle scans in resonant x-ray diffraction are sensitive to the Ru site symmetry and the atomic configuration. Acid tests of the studied magnetic symmetry include a chiral signature and null intensity for unrotated photon polarization.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (26)
- I. Turek, Phys. Rev. B 106, 094432 (2022).
- L. Šmejkal, J. Sinova, and T. Jungwirth, Phys. Rev. X 12, 040501 (2022).
- D. D. Khalyavin and S. W. Lovesey, Phys. Rev. B 100, 224415 (2019).
- F. E. Neumann, Vorlesungen über die Theorie Elasticität der festen Körper und des Lichtäthers (Teubner, Leipzig, 1885).
- A. P. Cracknell, Magnetism in Crystalline Materials (Pergamon Press, Oxford, 1975).
- X. Zhou, W. Feng, R.-W. Zhang, L. Smejkal, J. Sinova, Y. Mokrousov, and Y. Yao, arXiv:2305.01410.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.108.L121103 for detailed structure information and x-ray scattering process, which includes Ref. [8].
- We use the BNS setting of magnetic space groups, see Bilbao Crystallographic server, http://www.cryst.ehu.es.
- J. Hubbard and W. Marshall, Proc. Phys. Soc. 86, 561 (1965); I. Sovago, M. J. Gutmann, J. G. Hill, H. M. Senn, L. H. Thomas, C. C. Wilson, and L. J. Farrugia, Cryst. Growth Des. 14, 1227 (2014).
- S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter, Vol. 2 (Clarendon Press, Oxford, 1987).
- R. D. Cowan, J. Opt. Soc. Am. 58, 808 (1968).
- S. W. Lovesey, D. D. Khalyavin, and G. van der Laan, Phys. Rev. B 99, 134444 (2019).
- S. W. Lovesey, Phys. Scr. 90, 108011 (2015).
- A. T. Boothroyd, Principles of Neutron Scattering from Condensed Matter (OUP, Oxford UK, 2020).
- T. Berlijn, P. C. Snijders, O. Delaire, H.-D. Zhou, T. A. Maier, H.-B. Cao, S.-X. Chi, M. Matsuda, Y. Wang, M. R. Koehler, P. R. C. Kent, and H. H. Weitering, Phys. Rev. Lett. 118, 077201 (2017).
- J. Fernández-Rodríguez, S. W. Lovesey, and J. A. Blanco, Phys. Rev. B 77, 094441 (2008).
- V. Scagnoli and S. W. Lovesey, Phys. Rev. B 79, 035111 (2009).
- J. Luo, G. T. Trammell, and J. P. Hannon, Phys. Rev. Lett. 71, 287 (1993).
- C. Vettier, J. Electron Spectrosc. Relat. Phenom. 117–118, 113 (2001).
- L. Paolasini, De La Société Française De La Neutronique (SFN) 13, 03002 (2014).
- S. W. Lovesey, E. Balcar, K. S. Knight, and J. Fernández-Rodríguez, Phys. Rep. 411, 233 (2005).
- B. T. Thole, P. Carra, F. Sette, and G. van der Laan, Phys. Rev. Lett. 68, 1943 (1992); P. Carra, B. T. Thole, M. Altarelli, and X. D. Wang, ibid. 70, 694 (1993); P. Carra, H. König, B. T. Thole, and M. Altarelli, Physica B 192, 182 (1993).
- S. W. Lovesey, D. D. Khalyavin, and G. van der Laan, Phys. Rev. B 105, 014403 (2022).
- I. Mazin and the PRX Editors, Phys. Rev. X 12, 040002 (2022).
- L. Šmejkal, R. González-Hernández, T. Jungwirth, and J. Sinova, Sci. Adv. 6, eaaz8809 (2020).
- Z. H. Zhu, J. Strempfer, R. R. Rao, C. A. Occhialini, J. Pelliciari, Y. Choi, T. Kawaguchi, H. You, J. F. Mitchell, Y. Shao-Horn, and R. Comin, Phys. Rev. Lett. 122, 017202 (2019).