Two relativistic Kondo effects: Classification with particle and antiparticle impurities

Abstract

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.

arXiv comment14 pages, 2 figures, 1 table; published version

References in corpus (69)

• Heavy Quark Symmetry
• Topological Kondo Insulators
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• QCD at finite isospin density
• Topological Kondo Insulators
• A theory of Topological Kondo Insulators
• Cubic Topological Kondo Insulators
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Weyl-Kondo Semimetal in Heavy Fermion Systems
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• Kondo Breakdown in Topological Kondo Insulators
• SU(3) orbital Kondo effect with ultracold atoms
• Realizing a Kondo-correlated state with ultracold atoms
• Kondo effect in three-dimensional Dirac and Weyl systems
• Laser-induced Kondo effect in ultracold alkaline-earth fermions
• Heavy quark dynamics for charm and bottom flavor on Fermi surface at zero temperature
• QCD Kondo effect: quark matter with heavy-flavor impurities
• Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry
• Interaction-driven transition between topological states in a Kondo insulator
• Surface Theory of a Family of Topological Kondo Insulators
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Heavy Quark Effective Theory at Large Orders in $1/m$
• Weyl-Kondo semimetals in nonsymmorphic systems
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• Spectator Effects in the Heavy Quark Effective Theory
• A phase diagram for a topological Kondo insulating system
• A magnetic Impurity in a Weyl semimetal
• Fermionic Atoms in Optical Superlattices
• Magnetically induced QCD Kondo effect
• End states in a 1-D topological Kondo insulator
• Laser-irradiated Kondo insulators : Controlling Kondo effect and topological phases
• Quantum oscillations in strongly correlated topological Kondo insulators
• Kondo effect in charm/bottom nuclei
• Dynamically generated edge states in topological Kondo insulators
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Transport coefficients from QCD Kondo effect
• Controlling ultracold atoms in multi-band optical lattices for simulation of Kondo physics
• Kondo Effect with Weyl Semimetal Fermi Arcs
• Fermi/non-Fermi mixing in SU($N$) Kondo effect
• Kondo phase diagram of quark matter
• Parity-violating hybridization in heavy Weyl semimetals
• Magnetic states in a three-dimensional topological Kondo insulator
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Topology and stability of the Kondo phase in quark matter
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Kondo cloud of single heavy quark in cold and dense matter
• Conformal field theory analysis for QCD Kondo effect
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Dirac fermions and Kondo effect
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Haldane phase in one-dimensional topological Kondo insulators
• Kondo effect driven by chirality imbalance
• Characterization of a correlated topological Kondo insulator in one dimension
• Comparison of the heavy-fermion and Foldy-Wouthuysen formalisms at third order
• QCD Kondo excitons
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Cyclotron resonance in Kondo insulator
• Interaction quench and thermalization in a one-dimensional topological Kondo insulator
• Topological phase transition and the effect of Hubbard interaction on the one-dimensional topological Kondo insulator
• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• More on Symmetries in Heavy Quark Effective Theory
• On the Higher Order Corrections to Heavy Quark Effective Theory
• Cotunneling into a Kondo lattice with odd hybridization
• Magnetic and topological transitions in three-dimensional topological Kondo insulator
• Valence transition in topological Kondo insulator
• Understanding one-dimensional topological Kondo insulator: Poor man's non-uniform antiferromagnetic mean-field theory versus quantum Monte Carlo simulation

Cited by in corpus (8)

• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Chiral separation effect catalyzed by heavy impurities
• Kondo effect with Wilson fermions
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Dirac Kondo effect under magnetic catalysis
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase
• Holographic mean field theory and Kondo lattice