标题： $t$-$J$模型用于强关联双轨道系统：应用于双层镍氧化物超导体 显示英文标题

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

摘要： 我们推导出一个适用于强关联双轨道系统的$t$-$J$模型，包括双层镍酸盐超导体。 使用施里弗-沃尔夫变换，我们排除了双占据态，提高了局域库仑能，并从双轨道哈伯德模型中推导出相应的自旋相互作用。 我们还引入了归因于轨道间库仑相互作用的有效相互作用。 为了将有效模型适应于表现出高温超导性的双层镍酸盐，我们基于 La$_3$Ni$_2$O$_7$中的跃迁参数定量评估自旋相互作用的强度。 考虑到评估的有效相互作用，我们提出了一个简化的$t$-$J$模型用于双层镍酸盐超导体。 显示英文摘要

摘要： 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 raising the on-site Coulomb energy and derive 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.