Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918450531663872 |
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| author | Kadosawa, Masahiro Nakamura, Masaaki Ohta, Yukinori Nishimoto, Satoshi |
| author_facet | Kadosawa, Masahiro Nakamura, Masaaki Ohta, Yukinori Nishimoto, Satoshi |
| contents | We investigate the ground-state magnetic structure of the spin-$1/2$ XXZ antiferromagnet on the triangular lattice in the easy-axis regime using the density-matrix renormalization group. By applying spiral boundary conditions, we exactly map finite $L\times L$ clusters onto one-dimensional chains while avoiding the spatial anisotropy inherent in cylindrical geometries. From symmetry-broken local magnetization profiles, we extract the three-sublattice moments and track their evolution with anisotropy. At the isotropic point, we obtain a positive sublattice moment of $0.21671$, consistent with previous numerical estimates. In the easy-axis regime, the ordered moments remain close to a zero-magnetization three-sublattice structure of the form $(2m,-m,-m)$ over a broad range of $Δ$. Extrapolation in $1/Δ$ shows that the positive sublattice moment stays well below the classical saturation value $1/2$, approaching $0.41873$ as $Δ\to\infty$, while the magnitude of the negative sublattice moment approaches $0.20832$. We further compare the energies of the Y state and the up-down-down state and find that the Y state is favored at zero field. Independent thermodynamic-limit energy calculations, performed without assuming any particular ordered pattern, yield an energy consistent with the Y-state solution. These results show that the easy-axis ground state does not simply cross over to a trivially saturated collinear Ising state, but instead remains a nontrivial three-sublattice ordered state selected from the macroscopically degenerate Ising manifold by quantum fluctuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14767 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice Kadosawa, Masahiro Nakamura, Masaaki Ohta, Yukinori Nishimoto, Satoshi Strongly Correlated Electrons We investigate the ground-state magnetic structure of the spin-$1/2$ XXZ antiferromagnet on the triangular lattice in the easy-axis regime using the density-matrix renormalization group. By applying spiral boundary conditions, we exactly map finite $L\times L$ clusters onto one-dimensional chains while avoiding the spatial anisotropy inherent in cylindrical geometries. From symmetry-broken local magnetization profiles, we extract the three-sublattice moments and track their evolution with anisotropy. At the isotropic point, we obtain a positive sublattice moment of $0.21671$, consistent with previous numerical estimates. In the easy-axis regime, the ordered moments remain close to a zero-magnetization three-sublattice structure of the form $(2m,-m,-m)$ over a broad range of $Δ$. Extrapolation in $1/Δ$ shows that the positive sublattice moment stays well below the classical saturation value $1/2$, approaching $0.41873$ as $Δ\to\infty$, while the magnitude of the negative sublattice moment approaches $0.20832$. We further compare the energies of the Y state and the up-down-down state and find that the Y state is favored at zero field. Independent thermodynamic-limit energy calculations, performed without assuming any particular ordered pattern, yield an energy consistent with the Y-state solution. These results show that the easy-axis ground state does not simply cross over to a trivially saturated collinear Ising state, but instead remains a nontrivial three-sublattice ordered state selected from the macroscopically degenerate Ising manifold by quantum fluctuations. |
| title | Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2604.14767 |