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$t$-$J$ model for strongly correlated two-orbital systems: Application to bilayer nickelate superconductors

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arxiv 2504.10114 v3 pith:JHBE6WTL submitted 2025-04-14 cond-mat.str-el cond-mat.supr-con

classification cond-mat.str-elcond-mat.supr-con
keywords modelbilayerinteractionseffectivenickelatesuperconductorstwo-orbitalcorrelated
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abstract

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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Pairing without $\gamma$-Pocket in the La$_3$Ni$_2$O$_7$ Thin Film

    cond-mat.supr-con 2025-07 conditional novelty 6.0 of 10

    Even without the γ-pocket, spin-fluctuation and superexchange mechanisms both yield s±-wave pairing in the La3Ni2O7 thin film, with interlayer d_x2-y2 pairing dominant.

  2. Doping a spin-one Mott insulator: possible application to bilayer nickelate

    cond-mat.str-el 2025-09 conditional novelty 2.0 of 10

    A review of the authors' prior theoretical work proposing that bilayer spin-one Mott insulators with strong interlayer coupling can host kinetic-energy-driven high-Tc superconductivity and a second Fermi liquid normal state.

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