Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem

When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr^{3+} ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole, moments. When such multipolar moments are placed in a metallic host,...

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Autores principales:	Adarsh S. Patri, Yong Baek Kim
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e68f018ab6814a38b70594f0c387dfb1
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spelling	oai:doaj.org-article:e68f018ab6814a38b70594f0c387dfb12021-12-02T12:55:58ZCritical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem10.1103/PhysRevX.10.0410212160-3308https://doaj.org/article/e68f018ab6814a38b70594f0c387dfb12020-10-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041021http://doi.org/10.1103/PhysRevX.10.041021https://doaj.org/toc/2160-3308When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr^{3+} ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole, moments. When such multipolar moments are placed in a metallic host, unusual interactions between these local moments and conduction electrons arise, in contrast to the familiar magnetic dipole interactions in the classic Kondo problem. In this work, we consider the interaction between a single quadrupolar-octupolar local moment and conduction electrons with p-orbital symmetry as a concrete model for the multipolar Kondo problem. We show that this model can be written most naturally in the spin-orbital entangled basis of conduction electrons. Using this basis, the perturbative renormalization-group (RG) fixed points are readily identified. There are two kinds of fixed points, one for the two-channel Kondo and the other for a novel fixed point. We investigate the nature of the novel fixed point nonperturbatively using non-Abelian bosonization, current algebra, and conformal field theory approaches. It is shown that the novel fixed point leads to a, previously unidentified, non-Fermi liquid state with entangled spin and orbital degrees of freedom, which shows resistivity ρ∼T^{Δ} and diverging specific heat coefficient C/T∼T^{-1+2Δ}, with Δ=1/5. Our results open up the possibility of myriads of non-Fermi liquid states, depending on the choices of multipolar moments and conduction electron orbitals, which would be relevant for many rare-earth metallic systems.Adarsh S. PatriYong Baek KimAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041021 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Adarsh S. Patri Yong Baek Kim Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
description	When the ground state of a localized ion is a non-Kramers doublet, such localized ions may carry multipolar moments. For example, Pr^{3+} ions in a cubic environment would possess quadrupolar and octupolar, but no magnetic dipole, moments. When such multipolar moments are placed in a metallic host, unusual interactions between these local moments and conduction electrons arise, in contrast to the familiar magnetic dipole interactions in the classic Kondo problem. In this work, we consider the interaction between a single quadrupolar-octupolar local moment and conduction electrons with p-orbital symmetry as a concrete model for the multipolar Kondo problem. We show that this model can be written most naturally in the spin-orbital entangled basis of conduction electrons. Using this basis, the perturbative renormalization-group (RG) fixed points are readily identified. There are two kinds of fixed points, one for the two-channel Kondo and the other for a novel fixed point. We investigate the nature of the novel fixed point nonperturbatively using non-Abelian bosonization, current algebra, and conformal field theory approaches. It is shown that the novel fixed point leads to a, previously unidentified, non-Fermi liquid state with entangled spin and orbital degrees of freedom, which shows resistivity ρ∼T^{Δ} and diverging specific heat coefficient C/T∼T^{-1+2Δ}, with Δ=1/5. Our results open up the possibility of myriads of non-Fermi liquid states, depending on the choices of multipolar moments and conduction electron orbitals, which would be relevant for many rare-earth metallic systems.
format	article
author	Adarsh S. Patri Yong Baek Kim
author_facet	Adarsh S. Patri Yong Baek Kim
author_sort	Adarsh S. Patri
title	Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
title_short	Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
title_full	Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
title_fullStr	Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
title_full_unstemmed	Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem
title_sort	critical theory of non-fermi liquid fixed point in multipolar kondo problem
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/e68f018ab6814a38b70594f0c387dfb1
work_keys_str_mv	AT adarshspatri criticaltheoryofnonfermiliquidfixedpointinmultipolarkondoproblem AT yongbaekkim criticaltheoryofnonfermiliquidfixedpointinmultipolarkondoproblem
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Critical Theory of Non-Fermi Liquid Fixed Point in Multipolar Kondo Problem

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