两种相对论性近藤效应：粒子和反粒子杂质的分类
Two relativistic Kondo effects: Classification with particle and antiparticle impurities
摘要：
我们研究了两种不同类型的相对论性近藤效应，区分重杂质自由度，通过专注于基态的能量-动量色散关系的凝聚组成的轻狄拉克费米子和非相对论性杂质费米子。根据两类重费米子有效理论，即重狄拉克费米子的两个重费米子极限，引入了重费米子自由度，这两类理论在高能物理中被称为重夸克有效理论（HQEFFECT）。第一种只包含重粒子成分，而第二种包含重粒子和重反粒子成分，它们的宇称相反。从这些理论出发，我们得到了两种类型的近藤效应，其中费米面附近的色散非常相似，但它们在低动量下的结构不同。我们还对这两种极限下凝聚的可能形式进行了分类。这两种近藤效应将通过狄拉克/外尔半金属或夸克物质的实验、晶格模拟和冷原子模拟来检验。
英文摘要：
We investigate two different types of relativistic Kondo effects, distinguished by heavy-impurity degrees of freedom, by focusing on the energy-momentum dispersion relations of the ground state with condensates composed of a light Dirac fermion and a nonrelativistic impurity fermion. Heavy fermion degrees of freedom are introduced in terms of two types of heavy-fermion effective theories, in other words, two heavy-fermion limits for the heavy Dirac fermion, which are known as the heavy-quark effective theories (HQETs) in high-energy physics. While the first one includes only the heavy-particle component, the second one contains both the heavy-particle and heavy-antiparticle components, which are opposite in their parity. From these theories, we obtain two types of Kondo effects, in which the dispersions near the Fermi surface are very similar, but they differ in the structure at low momentum. We also classify the possible forms of condensates in the two limits. The two Kondo effects will be examined by experiments with Dirac/Weyl semimetals or quark matter, lattice simulations, and cold-atom simulations.
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