Angle-resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM) have become indispensable tools in the study of correlated quantum materials. Both probe complementary aspects of the single-particle excitation spectrum. Taken together, ARPES and STM have the potential to explore properties of the electronic Green’s function, a central object of many-body theory. This review explicates this potential with a focus on heavy-electron quantum criticality, especially the role of Kondo destruction. A discussion on how to probe the Kondo destruction effect across the quantum-critical point using ARPES and STM measurements is presented. Particular emphasis is placed on the question of how to distinguish between the signatures of the initial onset of hybridization-gap formation, which is the “high-energy” physics to be expected in all heavy-electron systems, and those of Kondo destruction, which characterizes the low-energy physics and, hence, the nature of quantum criticality. Recent progress and possible challenges in the experimental investigations are surveyed, the STM and ARPES spectra for several quantum-critical heavy-electron compounds are compared, and the prospects for further advances are outlined.

中文翻译：

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座谈会：重电子量子临界和单粒子光谱

角度分辨光发射光谱法（ARPES）和扫描隧道显微镜（STM）已成为相关量子材料研究中必不可少的工具。两者都探究了单粒子激发光谱的互补方面。综上所述，ARPES和STM有潜力探索电子格林函数的性质，这是多体理论的中心对象。这篇综述着重于重电子量子临界，特别是近藤破坏的作用，阐明了这种潜力。讨论了如何使用ARPES和STM测量在量子临界点上探查近藤破坏效应。特别强调的问题是如何区分杂交间隙形成的初始发作的特征，这是所有重电子系统以及近藤破坏系统中都可以期待的“高能”物理，它代表了低能物理的特征，因此也代表了量子临界性。概述了实验研究的最新进展和可能面临的挑战，比较了几种量子临界重电子化合物的STM和ARPES光谱，并概述了进一步发展的前景。