On integrability of the one-dimensional Hubbard model
We find a family of solutions to Zamolodchikov's tetrahedral algebra corresponding to the fermionic R-operator for the free fermion model of the difference type in one of the spectral parameters, construct an extension of the R-operator for a system of two spins satisfying the Yang-Baxter equat...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323006251 |
| _version_ | 1797454360850989056 |
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| author | A. Melikyan |
| author_facet | A. Melikyan |
| author_sort | A. Melikyan |
| collection | DOAJ |
| description | We find a family of solutions to Zamolodchikov's tetrahedral algebra corresponding to the fermionic R-operator for the free fermion model of the difference type in one of the spectral parameters, construct an extension of the R-operator for a system of two spins satisfying the Yang-Baxter equation, and find the local charges. We also construct a twisted monodromy operator, which leads to the one-dimensional Hubbard model. |
| first_indexed | 2024-03-09T15:36:07Z |
| format | Article |
| id | doaj.art-8293cd88557e46b092921575b7c99103 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-09T15:36:07Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8293cd88557e46b092921575b7c991032023-11-26T05:11:29ZengElsevierPhysics Letters B0370-26932023-12-01847138291On integrability of the one-dimensional Hubbard modelA. Melikyan0Centro Internacional de Física, Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, BrazilWe find a family of solutions to Zamolodchikov's tetrahedral algebra corresponding to the fermionic R-operator for the free fermion model of the difference type in one of the spectral parameters, construct an extension of the R-operator for a system of two spins satisfying the Yang-Baxter equation, and find the local charges. We also construct a twisted monodromy operator, which leads to the one-dimensional Hubbard model.http://www.sciencedirect.com/science/article/pii/S0370269323006251 |
| spellingShingle | A. Melikyan On integrability of the one-dimensional Hubbard model Physics Letters B |
| title | On integrability of the one-dimensional Hubbard model |
| title_full | On integrability of the one-dimensional Hubbard model |
| title_fullStr | On integrability of the one-dimensional Hubbard model |
| title_full_unstemmed | On integrability of the one-dimensional Hubbard model |
| title_short | On integrability of the one-dimensional Hubbard model |
| title_sort | on integrability of the one dimensional hubbard model |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323006251 |
| work_keys_str_mv | AT amelikyan onintegrabilityoftheonedimensionalhubbardmodel |