Double- and quadruple- instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
arXiv:2402.11721 · doi:10.1103/PhysRevB.110.014404
Abstract
Multiple- states are expressed as a superposition of spin density waves at multiple ordering wave vectors, which results in unconventional complicated spin textures, such as skyrmion, hedgehog, and vortex. We investigate the multiple- instability by focusing on the low-symmetric ordering wave vectors in momentum space. By systematically performing the simulated annealing for effective spin models with various ordering wave vectors on a two-dimensional square lattice, we classify the magnetic phase diagram into four types according to the position of the ordering wave vectors. Three out of four cases lead to a plethora of isotropic multiple- instabilities yielding collinear, coplanar, and noncoplanar double- and quadruple- magnetic phases, while the remaining case leads to an anisotropic double- instability when the multiple-spin interaction is introduced. Our results indicate that exotic multiple- phases distinct from the skyrmion crystal phase are expected when the ordering wave vectors lie on the low-symmetric positions in the Brillouin zone.
arXiv comment10 pages, 13 figures
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