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arXiv 2201.03738cond-mat.str-el
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高阶费米子中Kondo问题的精确解

Exact solutions of Kondo problems in higher-order fermions

Peng Song, Haodong Ma, Rui Wang, Baigeng Wang

摘要:

近藤问题的共形场论(CFT)方法,最初由Affleck和Ludwig(AL)发展,极大地推进了近藤物理的基础知识。近藤杂质的CFT方法基于必要的近似,即,在费米面附近的窄能窗内对低激发进行线性化。这种处理在普通的金属浴中效果很好,但在费米点和高阶色散关系的系统中遇到了根本性的困难。这种系统的突出例子是最近提出的具有涌现高阶费米子的拓扑半金属。在这里,我们开发了一种新的CFT技术,产生精确的解决方案,在高阶费米子系统的近藤问题。我们的方法不需要任何线性化的低位激发,更重要的是,它严格玻色子的高阶费米子的整个能谱。从而为有限温度下热力学量的计算提供了更坚实的理论基础。我们的工作大大拓宽了CFT技术的范围,并带来了传统方法无法企及的前所未有的应用。

英文摘要:

The conformal field theory (CFT) approach to Kondo problems, originally developed by Affleck and Ludwig (AL), has greatly advanced the fundamental knowledge of Kondo physics. The CFT approach to Kondo impurities is based on a necessary approximation, i.e., the linearization of the low-lying excitations in a narrow energy window about the Fermi surface. This treatment works well in normal metal baths, but encounters fundamental difficulties in systems with Fermi points and high-order dispersion relations. Prominent examples of such systems are the recently-proposed topological semimetals with emergent higher-order fermions. Here, we develop a new CFT technique that yields exact solutions to the Kondo problems in higher-order fermion systems. Our approach does not require any linearization of the low-lying excitations, and more importantly, it rigorously bosonizes the entire energy spectrum of the higher-order fermions. Therefore, it provides a more solid theoretical base for evaluating the thermodynamic quantities at finite temperatures. Our work significantly broadens the scope of CFT techniques and brings about unprecedented applications beyond the reach of conventional methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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