Symmetry analysis of light-induced magnetic interactions via Floquet engineering

Abstract

Anisotropic magnetic interactions become the origins of intriguing magnetic structures, such as helical and skyrmion structures by the Dzyaloshinskii-Moriya interaction. In general, possible anisotropic exchange interactions are restricted by crystal symmetry. Meanwhile, by lowering the crystal symmetry with light, additional anisotropic magnetic interactions are expected according to its polarization and frequency. In this study, we clarify a relationship between anisotropic magnetic interactions and symmetry lowering in insulating magnets irradiated by light. Based on the Floquet formalism, we find that a variety of anisotropic two-spin and three-spin interactions are induced via spin-dependent electric polarizations activated by light irrespective of the presence/absence of the spatial inversion symmetry; we systematically classify them in the hexagonal point group, tetragonal point group, and their subgroups. Our symmetry analyses show that the light-induced two-spin (three-spin) interaction is owing to the reduction of the point group to a chiral point group (black and white magnetic point group). We also demonstrate the effect of the light-induced magnetic interactions on the magnetic structures in a triangular unit. Our results will be a symmetry-based reference for the Floquet engineering of magnetic structures.

15 pages, 8 figures, 7 tables

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Cited by in corpus (10)

• Unified description of electronic orderings and cross correlations by complete multipole representation
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Analysis of photo-induced chirality and magnetic toroidal moment based on Floquet formalism
• Scalar spin chirality induced by a circularly polarized electric field in a classical kagome magnet
• Floquet theory and applications in open quantum and classical systems
• Interlayer Dzyaloshinskii-Moriya interactions induced via non-linear phononics in bilayer van der Waals materials
• Bimeron Crystals by a Linearly Polarized AC Electric Field in Frustrated Magnets
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields