Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916130344402944 |
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| author | Papoyan, Vladimir V. Gori, Giacomo Papoyan, Vladimir V. Trombettoni, Andrea Ananikian, Nerses |
| author_facet | Papoyan, Vladimir V. Gori, Giacomo Papoyan, Vladimir V. Trombettoni, Andrea Ananikian, Nerses |
| contents | We study the 1D antiferromagnetic spin-1 Heisenberg XXX model with external magnetic field B and single-ion anisotropy D on finite chains. We determine the nearest and non-nearest neighbor logarithmic entanglement LN. Our main result is the disappearance of LN both for nearest and non-nearest neighbor (next-nearest and next-next-nearest) sites at zero temperature and for low temperature states. Such disappearance occurs at a critical value of B and D. The resulting phase diagram for the behaviour of LN is discussed in the B - D plane, including a separating line - ending in a triple point - where the energy density is independent on the size. Finally, results for LN at finite temperature as a function of B and D are presented and commented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09511 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy Papoyan, Vladimir V. Gori, Giacomo Papoyan, Vladimir V. Trombettoni, Andrea Ananikian, Nerses Statistical Mechanics We study the 1D antiferromagnetic spin-1 Heisenberg XXX model with external magnetic field B and single-ion anisotropy D on finite chains. We determine the nearest and non-nearest neighbor logarithmic entanglement LN. Our main result is the disappearance of LN both for nearest and non-nearest neighbor (next-nearest and next-next-nearest) sites at zero temperature and for low temperature states. Such disappearance occurs at a critical value of B and D. The resulting phase diagram for the behaviour of LN is discussed in the B - D plane, including a separating line - ending in a triple point - where the energy density is independent on the size. Finally, results for LN at finite temperature as a function of B and D are presented and commented. |
| title | Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2212.09511 |