Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910671799582720 |
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| author | Shiraishi, Naoto |
| author_facet | Shiraishi, Naoto |
| contents | We rigorously prove that the Heisenberg chain with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense that this system has no nontrivial local conserved quantity. Our result covers two important models, the Majundhar-Ghosh model and the Shastry-Sutherland model, as special cases. These models are shown to be non-integrable while have some solvable energy eigenstates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction Shiraishi, Naoto Statistical Mechanics Strongly Correlated Electrons Mathematical Physics We rigorously prove that the Heisenberg chain with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense that this system has no nontrivial local conserved quantity. Our result covers two important models, the Majundhar-Ghosh model and the Shastry-Sutherland model, as special cases. These models are shown to be non-integrable while have some solvable energy eigenstates. |
| title | Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction |
| topic | Statistical Mechanics Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2403.04522 |