Topologically driven three-spin chiral exchange interactions treated from first principles

نویسندگان

چکیده

The mechanism behind the three-spin chiral interaction (TCI) included in extended Heisenberg Hamiltonian and represented by an expression worked out recently (Phys.\ Rev.\ B, {\bf 101}, 174401 (2020)) is discussed. It stressed that this approach provides a unique set of multispin exchange parameters which are independent each other either due to their different order perturbation or symmetry. This ensures particular specific properties TCI were demonstrated previously via fully relativistic first principles calculations, result from common influence several issues not explicitly seen for parameters. Therefore, interpretation suggested, showing its dependence on spin-orbit coupling topological orbital susceptibility (TOS). based TOS same footing as TCI. Using first-principles calculations we demonstrate addition numerically TOS. To role (SOC) TCI, so-called topological' spin (TSS) introduced. quantity characterizes SOC induced magnetic moment atom presence non-collinear structure, giving connection between Numerical results again support our conclusions.

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevb.104.054418