Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems

Recently, it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of the local moments, the form of the interaction with conduct...

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Main Authors: Daniel J. Schultz, Adarsh S. Patri, Yong Baek Kim
Format: Article
Language:English
Published: American Physical Society 2021-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013189
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author Daniel J. Schultz
Adarsh S. Patri
Yong Baek Kim
author_facet Daniel J. Schultz
Adarsh S. Patri
Yong Baek Kim
author_sort Daniel J. Schultz
collection DOAJ
description Recently, it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of the local moments, the form of the interaction with conduction electrons is strongly dependent on the orbital symmetry of the conduction electrons via crystalline symmetry constraints. This suggests that there may exist a variety of different non-Fermi liquid states in generic multipolar Kondo problems depending on the character of conduction electrons. In this work, using renormalization group analysis, we investigate a model where the multipolar local moment is coupled to conduction electrons with two different orbital-symmetry components, namely, p-wave and f-wave symmetries. When each orbital-symmetry component is present alone, non-Fermi liquid states with exactly the same thermodynamic singularities appear. When both orbital-symmetry components are allowed, however, a completely different non-Fermi liquid state arises via the quantum fluctuations in the mixed scattering channels. This remarkable result suggests that the multipolar Kondo problem presents unique opportunities for the discovery of unexpected non-Fermi liquid states.
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spelling doaj.art-3e84e4b68ae54f40bd3d482ffef7acd12024-04-12T17:07:51ZengAmerican Physical SocietyPhysical Review Research2643-15642021-02-013101318910.1103/PhysRevResearch.3.013189Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problemsDaniel J. SchultzAdarsh S. PatriYong Baek KimRecently, it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of the local moments, the form of the interaction with conduction electrons is strongly dependent on the orbital symmetry of the conduction electrons via crystalline symmetry constraints. This suggests that there may exist a variety of different non-Fermi liquid states in generic multipolar Kondo problems depending on the character of conduction electrons. In this work, using renormalization group analysis, we investigate a model where the multipolar local moment is coupled to conduction electrons with two different orbital-symmetry components, namely, p-wave and f-wave symmetries. When each orbital-symmetry component is present alone, non-Fermi liquid states with exactly the same thermodynamic singularities appear. When both orbital-symmetry components are allowed, however, a completely different non-Fermi liquid state arises via the quantum fluctuations in the mixed scattering channels. This remarkable result suggests that the multipolar Kondo problem presents unique opportunities for the discovery of unexpected non-Fermi liquid states.http://doi.org/10.1103/PhysRevResearch.3.013189
spellingShingle Daniel J. Schultz
Adarsh S. Patri
Yong Baek Kim
Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
Physical Review Research
title Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
title_full Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
title_fullStr Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
title_full_unstemmed Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
title_short Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems
title_sort rise and fall of non fermi liquid fixed points in multipolar kondo problems
url http://doi.org/10.1103/PhysRevResearch.3.013189
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