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 function, a central object of many-body theory. In this article, we explicate this potential with a focus on heavy-electron quantum criticality, especially the role of Kondo destruction. We discuss how to probe the Kondo destruction effect across the quantum critical point using ARPES and STM measurements. We place particular emphasis 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. We survey recent progress and possible challenges in the experimental investigations, compare the STM and ARPES spectra for several quantum critical heavy-electron compounds, and outline the prospects for further advances.

中文翻译：

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专题讨论会：重电子量子临界：观点与挑战

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Green函数的特性，Green是多体理论的中心对象。在本文中，我们重点介绍重电子量子临界性（尤其是近藤破坏的作用）来阐明这种潜力。我们讨论了如何使用ARPES和STM测量在整个量子临界点上探测近藤破坏效应。我们特别强调如何区分杂交间隙形成的初始发作的特征，即``高能'' 所有重电子系统以及近藤毁灭系统中都可以预料到的物理学，这是低能物理学的特征，因此也体现了量子临界性。我们调查了实验研究中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。