Two relativistic Kondo effects: Classification with particle and antiparticle impurities

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 d...

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Main Authors: Yasufumi Araki, Daiki Suenaga, Kei Suzuki, Shigehiro Yasui
Format: Article
Language:English
Published: American Physical Society 2021-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013233
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author Yasufumi Araki
Daiki Suenaga
Kei Suzuki
Shigehiro Yasui
author_facet Yasufumi Araki
Daiki Suenaga
Kei Suzuki
Shigehiro Yasui
author_sort Yasufumi Araki
collection DOAJ
description 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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spelling doaj.art-02106617848742b4ab93b9e028b0e59a2024-04-12T17:08:15ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-013101323310.1103/PhysRevResearch.3.013233Two relativistic Kondo effects: Classification with particle and antiparticle impuritiesYasufumi ArakiDaiki SuenagaKei SuzukiShigehiro YasuiWe 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.http://doi.org/10.1103/PhysRevResearch.3.013233
spellingShingle Yasufumi Araki
Daiki Suenaga
Kei Suzuki
Shigehiro Yasui
Two relativistic Kondo effects: Classification with particle and antiparticle impurities
Physical Review Research
title Two relativistic Kondo effects: Classification with particle and antiparticle impurities
title_full Two relativistic Kondo effects: Classification with particle and antiparticle impurities
title_fullStr Two relativistic Kondo effects: Classification with particle and antiparticle impurities
title_full_unstemmed Two relativistic Kondo effects: Classification with particle and antiparticle impurities
title_short Two relativistic Kondo effects: Classification with particle and antiparticle impurities
title_sort two relativistic kondo effects classification with particle and antiparticle impurities
url http://doi.org/10.1103/PhysRevResearch.3.013233
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