$t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908496598925312 |
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| author | Kaneko, Tatsuya Kakoi, Masataka Kuroki, Kazuhiko |
| author_facet | Kaneko, Tatsuya Kakoi, Masataka Kuroki, Kazuhiko |
| contents | We derive a $t$-$J$ model applicable to strongly correlated two-orbital systems including bilayer nickelate superconductors. Using the Schrieffer-Wolff transformation, we exclude the doubly occupied states, which raise the onsite Coulomb energy, and derive the resulting spin interactions from the two-orbital Hubbard model. We also introduce effective interactions attributed to the interorbital Coulomb interaction. To adapt the effective model to bilayer nickelates that exhibit high-temperature superconductivity, we quantitatively evaluate the strengths of the spin interactions based on the hopping parameters in La$_3$Ni$_2$O$_7$. Considering the evaluated effective interactions, we propose a simplified $t$-$J$ model for bilayer nickelate superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10114 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors Kaneko, Tatsuya Kakoi, Masataka Kuroki, Kazuhiko Strongly Correlated Electrons Superconductivity We derive a $t$-$J$ model applicable to strongly correlated two-orbital systems including bilayer nickelate superconductors. Using the Schrieffer-Wolff transformation, we exclude the doubly occupied states, which raise the onsite Coulomb energy, and derive the resulting spin interactions from the two-orbital Hubbard model. We also introduce effective interactions attributed to the interorbital Coulomb interaction. To adapt the effective model to bilayer nickelates that exhibit high-temperature superconductivity, we quantitatively evaluate the strengths of the spin interactions based on the hopping parameters in La$_3$Ni$_2$O$_7$. Considering the evaluated effective interactions, we propose a simplified $t$-$J$ model for bilayer nickelate superconductors. |
| title | $t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2504.10114 |