SO($N$) singlet-projection model on the pyrochlore lattice
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910540966658048 |
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| author | Block, Matthew S. Sutton, Jared |
| author_facet | Block, Matthew S. Sutton, Jared |
| contents | We present an extensive quantum Monte Carlo study of a nearest-neighbor, singlet-projection model on the pyrochlore lattice that exhibits SO($N$) symmetry and is sign-problem-free. We find that in contrast to the previously studied two-dimensional variations of this model that harbor critical points between their ground state phases, the non-bipartite pyrochlore lattice in three spatial dimensions appears to exhibit a first-order transition between a magnetically-ordered phase and some, as yet uncharacterized, paramagnetic phase. We also observe that the magnetically-ordered phase survives to a relatively large value of $N=8$, and that it is gone for $N=9$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SO($N$) singlet-projection model on the pyrochlore lattice Block, Matthew S. Sutton, Jared Strongly Correlated Electrons Other Condensed Matter We present an extensive quantum Monte Carlo study of a nearest-neighbor, singlet-projection model on the pyrochlore lattice that exhibits SO($N$) symmetry and is sign-problem-free. We find that in contrast to the previously studied two-dimensional variations of this model that harbor critical points between their ground state phases, the non-bipartite pyrochlore lattice in three spatial dimensions appears to exhibit a first-order transition between a magnetically-ordered phase and some, as yet uncharacterized, paramagnetic phase. We also observe that the magnetically-ordered phase survives to a relatively large value of $N=8$, and that it is gone for $N=9$. |
| title | SO($N$) singlet-projection model on the pyrochlore lattice |
| topic | Strongly Correlated Electrons Other Condensed Matter |
| url | https://arxiv.org/abs/2406.02926 |