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MA: Fachverband Magnetismus

MA 5: Spin Structures and Magnetic Phase Transitions I

MA 5.2: Vortrag

Montag, 18. März 2024, 09:45–10:00, EB 202

Generalization of Dzyaloshinskii-Moriya interaction to any beyond Heisenberg spin model — •Hiroshi Katsumoto¹, Yuriy Mokrousov^1,2, and Stefan Blügel¹ — ¹Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — ²Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany

In the past decade, it has become clear that the competition between Heisenberg and higher-order exchange interactions can promote very complex magnetic structures. While higher-order terms among isotropic exchange interactions are known to stem not only from the number of sites but also from the spin magnitude [1], Moriya derived the Dyzaloshinskii-Moriya interaction (DMI), which has emerged as a key mechanism to stabilize chiral magnetism, only for spin-1/2 systems. Starting from a fermionic model and applying perturbation theory to the first order in the spin-orbit coupling, we generalized Moriya’s work and derived an expression that generates the DMI sequentially for any higher-order exchange interaction. The application of this expression to particular spin models provides consistently all recently suggested DMIs extended to higher-order exchange interactions [2].

We acknowledge funding from the ERC grant 856538 (project "3D MAGIC"), and DFG through SPP-2137 and SFB-1238 (project C1).

[1] M. Hoffmann et al., PRB 101, 024418 (2020).

[2] A. Lászlóffy et al., PRB 99, 184430 (2019); S. Brinker et al., NJP 21, 083015 (2019); S. Grytsiuk et al., Nat. Commun. 11, 511 (2020); S. Mankovsky et al., PRB 101, 174401 (2020).

Keywords: Spin Hamiltonian; Relativistic effect; Dzyaloshinskii-Moriya Interaction; Higher-order exchange interaction