Anisotropic spin model and multiple-Q states in cubic systems
Abstract
Multiple-Q states manifest themselves in a variety of noncollinear and noncoplanar magnetic structures depending on the magnetic interactions and lattice structures. In particular, cubic-lattice systems can host a plethora of multiple-Q states, such as magnetic skyrmion and hedgehog lattices. We here classify momentum-dependent anisotropic exchange interactions in the cubic-lattice systems based on the magnetic representation analysis. We construct an effective spin model for centrosymmetric cubic space groups, Pm3m and Pm3, and noncentrosymmetric ones, P43m, P432, and P23: The former include the symmetric anisotropic exchange interaction, while the latter additionally include the Dzyaloshinskii-Moriya interaction. We demonstrate that the anisotropic exchange interaction becomes the origin of the multiple-Q states by applying the anisotropic spin model to the case under Pm3. We show several multiple-Q instabilities in the ground state by performing simulated annealing. Our results will be a reference for not only exploring unknown multiple-Q states but also understanding the origin of the multiple-Q states observed in both noncentrosymmetric and centrosymmetric magnets like EuPtSi and SrFeO3.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.