Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary

Abstract

Magnetic multiple-$Q$ states consisting of multiple spin density waves are a source of unconventional topological spin textures, such as skyrmion and hedgehog. We theoretically investigate a topologically nontrivial double-$Q$ state with a net spin scalar chirality on a two-dimensional square lattice. We find that a double-$Q$ spiral superposition of the ordering wave vectors located at the Brillouin zone boundary gives rise to unconventional noncoplanar spin textures distinct from the skyrmion crystal. We show that such a double-$Q$ state is stabilized by the interplay among the easy-axis anisotropic interaction, high-harmonic wave-vector interaction, and external magnetic field. Furthermore, the obtained double-$Q$ state becomes a Chern insulating state with a quantum Hall conductivity when the Fermi level is located in the band gaps. Our present results provide another platform to realize topological magnetic states other than skyrmion crystals by focusing on the symmetry of constituent ordering wave vectors in momentum space.

arXiv comment11 pages, 11 figures

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Cited by in corpus (4)

• 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
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• A $C^{\ast }$-algebraic view on the interaction of real- and reciprocal space topology in skyrmion crystals