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MA: Fachverband Magnetismus
MA 28: Cooperative Phenomena: Spin Structures and Magnetic Phase Transitions
MA 28.5: Vortrag
Mittwoch, 19. März 2025, 16:00–16:15, H19
Derivation of spin-orbit generated relativistic symmetric and antisymmetric exchange interactions — •Hiroshi Katsumoto1, Yuriy Mokrousov1,2, and Stefan Blügel1 — 1Peter Grünberg Institut, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — 2Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany
It has become clear that the higher-order exchange interactions beyond the Heisenberg interaction can promote very complex magnetic structures. Moriya derived the Dyzaloshinskii-Moriya interaction (DMI) for spin-1/2 systems, including spin-orbit coupling (SOC). We derived an expression that generates the DMI according to a systematic algorithm for any higher-order antisymmetric exchange interaction. Applying this expression to particular spin models consistently provides all recently suggested DMIs extended to higher-order exchange interactions [1]. In addition, it is found that in the second-order perturbation of SOC, not only the antisymmetric higher-order terms but also the symmetric spin-nematic term is obtained. The spin-nematic term is known to produce electromagnetic effects [2], and in this study, its microscopic derivation is given.
We acknowledge funding from the ERC grant 856538 (project "3D MAGIC") and DFG through SPP-2137 and SFB-1238 (project C1).
[1] A. Lászlóffy et al., PRB 99, 184430 (2019); S. Brinker et al., NJP [1]21, 083015 (2019); S. Grytsiuk et al., Nat. Commun. 11, 511 (2020); [1] S. Mankovsky et al., PRB 101, 174401 (2020).
[2] M. Soda et al., PRL 112, 127205 (2014)
Keywords: Spin Hamiltonian; Dzyaloshinskii-Moriya interaction; Spin-orbit coupling; Spin nematicity