Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915306519134208 |
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| author | Ulaga, Martin Kokalj, Jure Tohyama, Takami Prelovšek, Peter |
| author_facet | Ulaga, Martin Kokalj, Jure Tohyama, Takami Prelovšek, Peter |
| contents | We investigate the easy-axis Heisenberg model on the triangular lattice by numerically studying excitations and the dynamical spin structure factor $S^{μμ}({\bf q},ω)$. Results are analyzed within the supersolid scenario, characterized by the translation-symmetry-breaking parameter $m_z$ and the supersolid offdiagonal order parameter $m_\perp$. We find very robust $m_z > 0$ in the whole easy-axis anisotropy regime $α= J_\perp/J_z > 0$, even enhanced by the magnetic field $h>0$, as well as $m_\perp >0$ for intermediate $α<1$ and $h>0$. Still, at small $α\lesssim 0.2$, relevant for recent experiments on the magnetic material K$_2$Co(SeO$_3$)$_2$, we find at $h=0$ rather vanishing $m_\perp \sim 0$, which appears compatible with the numerically established finite magnon excitation gap $Δ_1 \sim 0.25 αJ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid Ulaga, Martin Kokalj, Jure Tohyama, Takami Prelovšek, Peter Strongly Correlated Electrons We investigate the easy-axis Heisenberg model on the triangular lattice by numerically studying excitations and the dynamical spin structure factor $S^{μμ}({\bf q},ω)$. Results are analyzed within the supersolid scenario, characterized by the translation-symmetry-breaking parameter $m_z$ and the supersolid offdiagonal order parameter $m_\perp$. We find very robust $m_z > 0$ in the whole easy-axis anisotropy regime $α= J_\perp/J_z > 0$, even enhanced by the magnetic field $h>0$, as well as $m_\perp >0$ for intermediate $α<1$ and $h>0$. Still, at small $α\lesssim 0.2$, relevant for recent experiments on the magnetic material K$_2$Co(SeO$_3$)$_2$, we find at $h=0$ rather vanishing $m_\perp \sim 0$, which appears compatible with the numerically established finite magnon excitation gap $Δ_1 \sim 0.25 αJ$. |
| title | Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2408.05034 |