中央研究院 Logo

【摘要】

Recently, emergent spin-orbit couplings (SOCs) arising from antiferromagnetic orderings have been attracted much attention, as an alternative source of spin-orbit physics other than the relativistic SOC. The realization of such emergent SOCs and corresponding (anit-)symmetric spin splitting in (non-)collinear magnetic orderings have been discussed extensively [1-4] ([5,6]). In this presentation, I will discuss that effective coupling between magnetic order parameter and the electric (magnetic-toroidal) multipole is essential for the (anti-)symmetric spin splitting. From the coupling we can predict related cross-correlated responses, based on the representation theory with the symmetry-adapted (SA) complete basis [7,8]. I will also touch on topics conceived by this view of the SA representation [9-11].

References:
[1] M. Naka et al., Nat. Commun. 10, 4305 (2019).
[2] S. Hayami, Y. Yanagi, HK, JPSJ 88, 123702 (2019).
[3] L. Yuan et al., PRB 102, 014422 (2020); PRM 5, 014409 (2021).
[4] L. Šmejkal et al., Sci. Adv. 6, eaaz8809 (2020); PRX 12, 031042 (2022); PRX 12, 040501 (2022).
[5] S. Hayami, Y. Yanagi, HK, PRB 101, 220403(R) (2020); PRB 102, 144441 (2020).
[6] A. Hellenes et al., arXiv:2309.01607.
[7] HK, R. Oiwa, S. Hayami, JPSJ 89, 104704 (2020); PRB 107, 195118 (2023).
[8] HK, S. Hayami, J. Phys.: Condens. Matter, 34, 464002 (2022).
[9] S. Hayami, R. Oiwa, HK, JPSJ 91, 113702 (2022).
[10] R. Oiwa, HK, PRL 129, 116401 (2022).
[11] S. Hayami, HK, PRB 108, L140409 (2023).