Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of a magnetic field the transport is diffusive, and derive the spin diffus...
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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.15.2.073 |
| _version_ | 1797732650604036096 |
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| author | Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev |
| author_facet | Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev |
| author_sort | Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev |
| collection | DOAJ |
| description | We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of a magnetic field the transport is diffusive, and derive the spin diffusion constant. Our approach is based on asymptotic analysis of a Fredholm determinant representation. The obtained results are in agreement with Generalized Hydrodynamics approach. |
| first_indexed | 2024-03-12T12:16:40Z |
| format | Article |
| id | doaj.art-69e4ac24f1e64c30bccf49397faece8d |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-12T12:16:40Z |
| publishDate | 2023-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-69e4ac24f1e64c30bccf49397faece8d2023-08-30T09:16:57ZengSciPostSciPost Physics2542-46532023-08-0115207310.21468/SciPostPhys.15.2.073Finite temperature spin diffusion in the Hubbard model in the strong coupling limitOleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. ZvonarevWe investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of a magnetic field the transport is diffusive, and derive the spin diffusion constant. Our approach is based on asymptotic analysis of a Fredholm determinant representation. The obtained results are in agreement with Generalized Hydrodynamics approach.https://scipost.org/SciPostPhys.15.2.073 |
| spellingShingle | Oleksandr Gamayun, Arthur Hutsalyuk, Balázs Pozsgay, Mikhail B. Zvonarev Finite temperature spin diffusion in the Hubbard model in the strong coupling limit SciPost Physics |
| title | Finite temperature spin diffusion in the Hubbard model in the strong coupling limit |
| title_full | Finite temperature spin diffusion in the Hubbard model in the strong coupling limit |
| title_fullStr | Finite temperature spin diffusion in the Hubbard model in the strong coupling limit |
| title_full_unstemmed | Finite temperature spin diffusion in the Hubbard model in the strong coupling limit |
| title_short | Finite temperature spin diffusion in the Hubbard model in the strong coupling limit |
| title_sort | finite temperature spin diffusion in the hubbard model in the strong coupling limit |
| url | https://scipost.org/SciPostPhys.15.2.073 |
| work_keys_str_mv | AT oleksandrgamayunarthurhutsalyukbalazspozsgaymikhailbzvonarev finitetemperaturespindiffusioninthehubbardmodelinthestrongcouplinglimit |