A range three elliptic deformation of the Hubbard model
In this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium range deformation of the Hubbard model that is integrable. Our...
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| Format: | Article |
| Language: | English |
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SciPost
2023-08-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.2.071 |
| _version_ | 1797736113633230848 |
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| author | Marius de Leeuw, Chiara Paletta, Balázs Pozsgay |
| author_facet | Marius de Leeuw, Chiara Paletta, Balázs Pozsgay |
| author_sort | Marius de Leeuw, Chiara Paletta, Balázs Pozsgay |
| collection | DOAJ |
| description | In this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium range deformation of the Hubbard model that is integrable. Our model can be mapped to a new integrable nearest-neighbour model via a duality transformation. The resulting nearest-neighbour model also breaks spin conservation. We compute the $R$-matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude. |
| first_indexed | 2024-03-12T13:08:55Z |
| format | Article |
| id | doaj.art-ff5ac471274a4161bc321f6351a34a99 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-12T13:08:55Z |
| publishDate | 2023-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-ff5ac471274a4161bc321f6351a34a992023-08-28T09:40:20ZengSciPostSciPost Physics2542-46532023-08-0115207110.21468/SciPostPhys.15.2.071A range three elliptic deformation of the Hubbard modelMarius de Leeuw, Chiara Paletta, Balázs PozsgayIn this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium range deformation of the Hubbard model that is integrable. Our model can be mapped to a new integrable nearest-neighbour model via a duality transformation. The resulting nearest-neighbour model also breaks spin conservation. We compute the $R$-matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude.https://scipost.org/SciPostPhys.15.2.071 |
| spellingShingle | Marius de Leeuw, Chiara Paletta, Balázs Pozsgay A range three elliptic deformation of the Hubbard model SciPost Physics |
| title | A range three elliptic deformation of the Hubbard model |
| title_full | A range three elliptic deformation of the Hubbard model |
| title_fullStr | A range three elliptic deformation of the Hubbard model |
| title_full_unstemmed | A range three elliptic deformation of the Hubbard model |
| title_short | A range three elliptic deformation of the Hubbard model |
| title_sort | range three elliptic deformation of the hubbard model |
| url | https://scipost.org/SciPostPhys.15.2.071 |
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