Field-induced Multi-$\boldsymbol{\vec{Q}}$ States in a Pyrochlore Heisenberg Magnet
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908427945508864 |
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| author | Glittum, Cecilie Syljuåsen, Olav F. |
| author_facet | Glittum, Cecilie Syljuåsen, Olav F. |
| contents | We construct exact ground states of the $J_1$-$J_{3b}$ classical Heisenberg model on the pyrochlore lattice in the presence of a magnetic field. They are non-coplanar multi-$\vec{Q}$ spin configurations with a large magnetic unit cell that generalize the previously found coplanar sublattice pairing states. Using linear spin wave theory, we show that entropy favors these multi-$\vec{Q}$ states at low temperatures in high magnetic fields. This is confirmed by Monte Carlo simulations, and a phase diagram is constructed. We also calculate the zero-temperature dynamical structure factor. Besides the usual Goldstone modes associated with the ordering $\vec{Q}$s, we find high intensity gapless modes at momenta where there are no Bragg peaks. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_05353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Field-induced Multi-$\boldsymbol{\vec{Q}}$ States in a Pyrochlore Heisenberg Magnet Glittum, Cecilie Syljuåsen, Olav F. Strongly Correlated Electrons We construct exact ground states of the $J_1$-$J_{3b}$ classical Heisenberg model on the pyrochlore lattice in the presence of a magnetic field. They are non-coplanar multi-$\vec{Q}$ spin configurations with a large magnetic unit cell that generalize the previously found coplanar sublattice pairing states. Using linear spin wave theory, we show that entropy favors these multi-$\vec{Q}$ states at low temperatures in high magnetic fields. This is confirmed by Monte Carlo simulations, and a phase diagram is constructed. We also calculate the zero-temperature dynamical structure factor. Besides the usual Goldstone modes associated with the ordering $\vec{Q}$s, we find high intensity gapless modes at momenta where there are no Bragg peaks. |
| title | Field-induced Multi-$\boldsymbol{\vec{Q}}$ States in a Pyrochlore Heisenberg Magnet |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.05353 |