A Tale of Two Plateaus: Competing Orders in Spin-1 and Spin-$\tfrac{3}{2}$ Pyrochlore Magnets
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915804699688960 |
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| author | Hagymási, Imre |
| author_facet | Hagymási, Imre |
| contents | We use large-scale density-matrix renormalization group simulations with bond dimensions up to $20\ 000$ to determine the magnetization curves of spin-1 and spin-$\tfrac{3}{2}$ pyrochlore Heisenberg antiferromagnets. Both models exhibit a robust half-magnetization plateau, and we find that the same 16-site state (quadrupled unit cell) is selected in both cases on the largest 64-site cubic cluster we consider for the plateau state. This contrasts sharply with the effective quantum dimer model prediction which favors the ``R'' state, and demonstrates the breakdown of the perturbative mechanism at the Heisenberg point. These results provide a nonperturbative characterization of field-induced phases in pyrochlore magnets and predictive guidance for spin-1 and spin-$\tfrac{3}{2}$ materials. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_16661 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Tale of Two Plateaus: Competing Orders in Spin-1 and Spin-$\tfrac{3}{2}$ Pyrochlore Magnets Hagymási, Imre Strongly Correlated Electrons We use large-scale density-matrix renormalization group simulations with bond dimensions up to $20\ 000$ to determine the magnetization curves of spin-1 and spin-$\tfrac{3}{2}$ pyrochlore Heisenberg antiferromagnets. Both models exhibit a robust half-magnetization plateau, and we find that the same 16-site state (quadrupled unit cell) is selected in both cases on the largest 64-site cubic cluster we consider for the plateau state. This contrasts sharply with the effective quantum dimer model prediction which favors the ``R'' state, and demonstrates the breakdown of the perturbative mechanism at the Heisenberg point. These results provide a nonperturbative characterization of field-induced phases in pyrochlore magnets and predictive guidance for spin-1 and spin-$\tfrac{3}{2}$ materials. |
| title | A Tale of Two Plateaus: Competing Orders in Spin-1 and Spin-$\tfrac{3}{2}$ Pyrochlore Magnets |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2602.16661 |