Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916507955494912 |
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| author | Hayami, Satoru |
| author_facet | Hayami, Satoru |
| contents | Multiple-$Q$ 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-$Q$ 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-$Q$ instabilities yielding collinear, coplanar, and noncoplanar double-$Q$ and quadruple-$Q$ magnetic phases, while the remaining case leads to an anisotropic double-$Q$ instability when the multiple-spin interaction is introduced. Our results indicate that exotic multiple-$Q$ phases distinct from the skyrmion crystal phase are expected when the ordering wave vectors lie on the low-symmetric positions in the Brillouin zone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11721 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry Hayami, Satoru Strongly Correlated Electrons Multiple-$Q$ 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-$Q$ 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-$Q$ instabilities yielding collinear, coplanar, and noncoplanar double-$Q$ and quadruple-$Q$ magnetic phases, while the remaining case leads to an anisotropic double-$Q$ instability when the multiple-spin interaction is introduced. Our results indicate that exotic multiple-$Q$ phases distinct from the skyrmion crystal phase are expected when the ordering wave vectors lie on the low-symmetric positions in the Brillouin zone. |
| title | Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2402.11721 |