标题： 通过共振非弹性X射线散射研究扩展相关系统中的电子-声子相互作用理论 显示英文标题

标题： Theory of electron-phonon interactions in extended correlated systems probed by resonant inelastic x-ray scattering

摘要： 共振非弹性X射线散射（RIXS）的一个新兴应用是研究量子材料中的晶格激发和电子-声子（$e$-ph）相互作用。 尽管这一研究领域的重要性日益增加，但科学界对RIXS过程如何激发晶格以及这些激发如何编码关于$e$-ph相互作用的信息仍缺乏全面理解。 在此，我们对定义在扩展一维晶格上的Hubbard-Holstein模型的RIXS谱进行了详细研究。 使用密度矩阵重正交化群（DMRG）方法，我们在同等条件下处理电子迁移率、多体相互作用和核心空穴相互作用。 预测的谱与通常采用的Lang-Firsov模型所得结果有显著差异，这对分析过去和未来的实验具有重要意义。 我们的结果加深了对RIXS如何探测$e$-ph相互作用的理解，并为未来实验的更现实分析奠定了基础。 显示英文摘要

摘要： An emerging application of resonant inelastic x-ray scattering (RIXS) is the study of lattice excitations and electron-phonon ($e$-ph) interactions in quantum materials. Despite the growing importance of this area of research, the community lacks a complete understanding of how the RIXS process excites the lattice and how these excitations encode information about the $e$-ph interactions. Here, we present a detailed study of the RIXS spectra of the Hubbard-Holstein model defined on extended one-dimensional lattices. Using the density matrix renormalization group (DMRG) method, we compute the RIXS response while treating the electron mobility, many-body interactions, and core-hole interactions on an equal footing. The predicted spectra exhibit notable differences from those obtained using the commonly adopted Lang-Firsov models, with important implications for analyzing past and future experiments. Our results provide a deeper understanding of how RIXS probes $e$-ph interactions and set the stage for a more realistic analysis of future experiments.