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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.10953 |
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| _version_ | 1866912188790210560 |
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| author | Hattori, K. Ishitobi, T. Tsunetsugu, H. |
| author_facet | Hattori, K. Ishitobi, T. Tsunetsugu, H. |
| contents | We numerically study orders of planer type $(xy,x^2-y^2)$ quadrupoles on a triangular lattice with nearest-neighbor isotropic $J$ and anisotropic $K$ interactions. This type of quadrupoles possesses unique single-ion anisotropy proportional to a third order of the quadrupole moments. This provides an unconventional mechanism of triple-$q$ orders which does not exist for the degrees of freedom with odd parity under time-reversal operation such as magnetic dipoles. In addition to several single-$q$ orders, we find various orders including incommensurate triple-$q$ quasi-long-range orders with orbital moiré and a four-sublattice triple-$q$ partial order. Our Monte-Carlo simulations demonstrate that the phase transition to the latter triple-$q$ state belongs to the universality class of the critical line of the Ashkin-Teller model in two dimensions close to the four-state Potts class. These results indicate a possibility of realizing unique quadrupole textures in simple triangular systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orbital moiré and quadrupolar triple-q physics in a triangular lattice Hattori, K. Ishitobi, T. Tsunetsugu, H. Strongly Correlated Electrons We numerically study orders of planer type $(xy,x^2-y^2)$ quadrupoles on a triangular lattice with nearest-neighbor isotropic $J$ and anisotropic $K$ interactions. This type of quadrupoles possesses unique single-ion anisotropy proportional to a third order of the quadrupole moments. This provides an unconventional mechanism of triple-$q$ orders which does not exist for the degrees of freedom with odd parity under time-reversal operation such as magnetic dipoles. In addition to several single-$q$ orders, we find various orders including incommensurate triple-$q$ quasi-long-range orders with orbital moiré and a four-sublattice triple-$q$ partial order. Our Monte-Carlo simulations demonstrate that the phase transition to the latter triple-$q$ state belongs to the universality class of the critical line of the Ashkin-Teller model in two dimensions close to the four-state Potts class. These results indicate a possibility of realizing unique quadrupole textures in simple triangular systems. |
| title | Orbital moiré and quadrupolar triple-q physics in a triangular lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2408.10953 |