We develop an efficient approach for computing two-particle response functions and interaction vertices for multiorbital strongly correlated systems based on the rotationally invariant slave-boson framework. The method is applied to the degenerate three-orbital Hubbard-Kanamori model for investigating the origin of the $s$-wave orbital antisymmetric spin-triplet superconductivity in Hund’s metal regime, previously found in the dynamical mean-field theory studies. By computing the pairing interaction considering the particle-particle and the particle-hole scattering channels, we identify the mechanism leading to the pairing instability around Hund’s metal crossover arises from the particle-particle channel, which contains the local electron pair fluctuation between different particle-number sectors of the atomic Hilbert space. On the other hand, the particle-hole spin fluctuations induce the $s$-wave pairing instability before entering Hund’s regime. Our approach paves the way for investigating the pairing mechanism in realistic correlated materials.

中文翻译：

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用于多轨道双粒子响应函数和超导性的高效从属玻色子方法

我们开发了一种有效的方法来计算基于旋转不变从属玻色子框架的多轨道强相关系统的双粒子响应函数和相互作用顶点。将该方法应用于退化的三轨道 Hubbard-Kanamori 模型，以研究$秒$之前在动态平均场理论研究中发现的 Hund 金属体系中的 -wave 轨道反对称自旋三重态超导性。通过计算考虑粒子-粒子和粒子-空穴散射通道的配对相互作用，我们确定了导致 Hund 金属交叉周围配对不稳定性的机制是由粒子-粒子通道引起的，其中包含不同粒子之间的局部电子对波动 -原子希尔伯特空间的扇区数。另一方面，粒子-空穴自旋波动引起$秒$- 进入洪德政权之前的波配对不稳定性。我们的方法为研究现实相关材料中的配对机制铺平了道路。