论文标题

与安德森杂质模型相关的相关电子系统中的非线性响应和三粒子相关器

Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model

论文作者

Kappl, Patrick, Krien, Friedrich, Watzenböck, Clemens, Held, Karsten

论文摘要

三粒子相关因子与拉曼,霍尔和非线性反应有关。对于下一个近似阶的阶顺序,它们也需要图解扩展动态平均场理论。我们提出了关于如何处理这些三粒子相关因子和敏感性的一般形式主义,并通过数值来计算安德森杂质模型的局部三粒子响应。我们发现真正的三颗粒顶点校正是相当可观的。特别是,仅根据两粒子顶点进行裸露的气泡术语或校正是不够的。必须考虑整个三粒子顶点。

Three-particle correlators are relevant for, among others, Raman, Hall and non-linear responses. They are also required for the next order of approximations extending dynamical mean-field theory diagrammatically. We present a general formalism on how to treat these three-particle correlators and susceptibilities, and calculate the local three-particle response of the Anderson impurity model numerically. We find that genuine three-particle vertex corrections are sizable. In particular, it is not sufficient to just take the bare bubble terms or corrections based on the two-particle vertex. The full three-particle vertex must be considered.

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