标题： 有效$\tilde{J}_1-\tilde{J}_2-\tilde{J}_3$平方格子海森堡模型的多磁振子和多自旋子$L_3$边缘RIXS谱 显示英文标题

标题： Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective $\tilde{J}_1-\tilde{J}_2-\tilde{J}_3$ square lattice Heisenberg model

摘要： 我们研究了自旋-1/2有效$L_3$-边共振非弹性X射线散射（RIXS）谱的多磁振子和多自旋子激发，所研究的是$\tilde{J}_1-\tilde{J}_2-\tilde{J}_3$平方格子海森堡模型在其反铁磁有序相中的情况。 受$L$-边RIXS谱中单磁振子色散之上卫星强度峰的观测启发，我们提出了一种基于共振价键（RVB）的RIXS机制，该机制结合了局部位点超短核心空穴寿命（UCL）展开。 我们分别使用$\mathcal{O}(1/S)$相互作用自旋波理论和Schwinger玻色子平均场理论（SBMFT）形式计算了多磁振子和多自旋子激发。 我们在UCL展开中将X射线散射过程计算到二阶。 我们的两磁振子、双磁振子和三磁振子RIXS强度计算表明，相互作用自旋波理论未能完全捕捉反铁磁有序相中的所有量子关联。 然而，利用结合了奈尔序和波动RVB成分的基态的SBMFT框架，我们证明了RIXS键翻转机制提供了一个更深层次的物理解释卫星强度来源。 具体来说，我们发现由波动RVB机制预测的自旋关联谱与更高阶UCL展开结果一致。 我们进一步表明，单磁振子模上方的卫星强度可以源自一到三磁振子杂化顶点过程以及表现出Higgs机制的凝聚自旋子。 这些特征反映了通过RIXS探测的量子磁性中的量子涨落、纠缠和规范相互作用效应之间的相互作用。 显示英文摘要

摘要： We investigate the multimagnon and the multispinon $L_3$-edge resonant inelastic x-ray scattering (RIXS) spectra of a spin-1/2 effective $\tilde{J}_1-\tilde{J}_2-\tilde{J}_3$ square lattice Heisenberg model in its N\'{e}el ordered phase. Motivated by the observation of satellite intensity peaks above the single magnon dispersion in the $L$-edge RIXS spectrum, we propose a resonating valence bond (RVB) inspired RIXS mechanism that incorporates the local site ultrashort core-hole lifetime (UCL) expansion. We compute the multimagnon and the multispinon excitations using $\mathcal{O}(1/S)$ interacting spin wave theory and Schwinger boson mean-field theory (SBMFT) formalism, respectively. We treat the x-ray scattering process up to second order in the UCL expansion. Our calculations of two-magnon, bimagnon, and three-magnon RIXS intensities reveal that interacting spin wave theory fails to fully capture all the quantum correlations in the antiferromagnetic ordered phase. However utilizing the SBMFT framework, with a ground state that combines N\'{e}el order and fluctuating RVB components, we demonstrate that a RIXS bond-flipping mechanism provides an alternative deeper physical explanation of the satellite intensities. Specifically, we find that the spin correlation spectra predicted by the fluctuating RVB mechanism aligns with higher order UCL expansion results. We further show that the satellite intensity above the single-magnon mode can originate both from a one-to-three-magnon hybridization vertex process and from condensed spinons exhibiting Higgs mechanism. These features reflect the interplay of quantum fluctuation, entanglement, and gauge interaction effects of quantum magnetism probed by RIXS.