Abstract
The noncoplanar multiple-Q magnetic orderings are investigated on the basis of an effective spin model with bilinear-biquadratic interactions in momentum space. By performing the simulated annealing for the model on a triangular lattice, we find various types of the multiple-Q magnetic orderings including the skyrmion crystals and magnetic chiral states at zero magnetic field. We show that the effective positive biquadratic interaction leads to a multiple-Q instability depending on the amplitude of the anisotropic parameter. The nearly isotropic biquadratic interaction induces two types of skyrmion crystals with the topological number of two and triple-Q chiral state, while the easy-axis one favors the triple-Q collinear bubble crystal and the easy-plane one becomes a source of the double-Q and triple-Q coplanar magnetic states without a net scalar chirality. We also find that the multiple-Q states in the region for large easy-axis or easy-plane anisotropy can turn into the multiple-Q chiral states by introducing the external magnetic field.
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