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

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.

20 pages, 8 figures

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Cited by in corpus (5)

• Strong-coupling study of the pairing mechanism in pressurized La${}_3$Ni${}_2$O${}_7$
• Possible Liquid-Nitrogen-Temperature Superconductivity Driven by Perpendicular Electric Field in the Single-Bilayer Film of La${}_3$Ni${}_2$O${}_7$ at Ambient Pressure
• Stabilizing and Tuning Superconductivity in La${}_3$Ni${}_2$O${}_{7-\delta }$ Films: Oxygen Recycling Protocol Reveals Hole-Doping Analogue
• Optical control of the crystal structure in the bilayer nickelate superconductor La3Ni2O7 via nonlinear phononics
• Spin Fluctuations in the Rare-Earth Doped Bilayer Nickelates