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...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
SciPost
2023-08-01
|
Series: | SciPost Physics |
Online Access: | https://scipost.org/SciPostPhys.15.2.071 |
_version_ | 1797736113633230848 |
---|---|
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 |
work_keys_str_mv | AT mariusdeleeuwchiarapalettabalazspozsgay arangethreeellipticdeformationofthehubbardmodel AT mariusdeleeuwchiarapalettabalazspozsgay rangethreeellipticdeformationofthehubbardmodel |