SKM 2021 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 10: Focus Session: Higher-Order Magnetic Interactions - Implications in 2D and 3D Magnetism I

MA 10.6: Vortrag

Mittwoch, 29. September 2021, 16:00–16:15, H5

Three- and four-spin interactions from first-principles: calculations and properties — •Sergiy Mankovsky, Svitlana Polesya, and Hubert Ebert — Dept. Chemistry, LMU Munich, Butenandtstrasse 11, D-81377 Munich, Germany

We discuss an extension of the Heisenberg Hamiltonian by accounting for the contributions of higher order interactions calculated on a first-principles level, that can play a crucial role for the stabilization of various types of non-collinear magnetic structure, as for example skyrmions. All calculations are performed by making use of the fully relativistic Korringa-Kohn-Rostoker (KKR) Green function method. We focus on the three-spin and four-spin interaction parameters concerning their calculation and properties. In particular, we discuss their controversial interpretation and the origin of the three-spin chiral interaction (TCI) represented by an expression worked out recently (Phys. Rev. B, 101, 174401 (2020)). An interpretation of the TCI is suggested, showing explicitly its dependence on the relativistic spin-orbit coupling and on the topological orbital susceptibility (TOS). This is based on an expression for the TOS that is worked out on the same footing as the expression for the TCI. Using first-principles calculations we demonstrate in addition numerically the common topological properties of the TCI and TOS.