论文标题

如何在电子光谱线之间读取:强度相关的电子系统中波动的诊断

How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems

论文作者

Schäfer, T., Toschi, A.

论文摘要

虽然单粒子光谱特性的计算和测量通常提供了研究相关电子系统的最直接途径,但如果不包括较高粒子水平的信息,那么潜在的物理可能仍然难以捉摸。在这里,我们介绍了最近开发和应用的不同方法的全面概述,以确定控制一颗粒子光谱函数形状的主要两粒子散射过程,在某些情况下是系统的物理响应。特别是,我们将讨论所有提议的方法的基本总体思想,共同点和特定的特殊性。尽管所有这些都依赖于Schwinger-Dyson(或Bethe-Salpeter)方程的选择性分析,但方法学差异源自要计算和分解的特定两粒子顶点函数。最后,我们通过应用程序的二维哈伯德模型来说明这些方法的潜在强度,并且我们提供了对未来视角和该途径发展的前景,以理解相关电子的物理。

While calculations and measurements of single-particle spectral properties often offer the most direct route to study correlated electron systems, the underlying physics may remain quite elusive, if information at higher particle levels is not explicitly included. Here, we present a comprehensive overview of the different approaches which have been recently developed and applied to identify the dominant two-particle scattering processes controlling the shape of the one-particle spectral functions and, in some cases, of the physical response of the system. In particular, we will discuss the underlying general idea, the common threads and the specific peculiarities of all the proposed approaches. While all of them rely on a selective analysis of the Schwinger-Dyson (or the Bethe-Salpeter) equation, the methodological differences originate from the specific two-particle vertex functions to be computed and decomposed. Finally, we illustrate the potential strength of these methodologies by means of their applications the two-dimensional Hubbard model, and we provide an outlook over the future perspective and developments of this route for understanding the physics of correlated electrons.

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