We study the fluctuations responsible for pairing in the d -wave superconducting state of the two-dimensional Hubbard model at intermediate coupling within a cluster dynamical mean-field theory with a numerically exact quantum impurity solver. By analyzing how momentum- and frequency-dependent fluctuations generate the d -wave superconducting state in different representations, we identify antiferromagnetic fluctuations as the pairing glue of superconductivity in both the underdoped and the overdoped regime. Nevertheless, in the intermediate coupling regime, the predominant magnetic fluctuations may differ significantly from those described by conventional spin fluctuation theory.

中文翻译：

---

哈伯德模型在中等相互作用强度下的超导机制

我们研究负责配对的波动d- 二维哈伯德模型在具有数值精确量子杂质求解器的簇动力学平均场理论中的中间耦合的波超导状态。通过分析动量和频率相关的波动如何产生d-波超导状态的不同表示，我们将反铁磁波动确定为欠掺杂和过掺杂状态下超导性的配对胶。然而，在中间耦合状态下，主要的磁波动可能与传统自旋波动理论所描述的那些有很大不同。