Relation between exceptional points and the Kondo effect in $f$-electron materials

Abstract

We study the impact of nonhermiticity due to strong correlations in f-electron materials. One of the most remarkable phenomena occurring in nonhermitian systems is the emergence of exceptional points at which the effective nonhermitian Hamiltonian becomes non-diagonalizable. We here demonstrate that Kondo temperature is related to the temperature at which exceptional points appear around the Fermi level. For this purpose, we study the periodic Anderson model with local and nonlocal hybridization in the insulating and metallic regimes. By analyzing the effective nonhermitian Hamiltonian, which describes the single-particle spectral function, and the temperature dependence of the screening of the magnetic moment, from which the Kondo temperature can be found, we show that exceptional points appear at the temperature at which the magnetic moment is screened. These results suggest that the well-known crossover between localized and itinerant f electrons in $f$-electron materials is related to the emergent exceptional points in the single-particle spectral function.

References in corpus (42)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Edge states and topological invariants of non-Hermitian systems
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Localization transitions in non-Hermitian quantum mechanics
• The numerical renormalization group method for quantum impurity systems
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Anomalous edge state in a non-Hermitian lattice
• Topological energy transfer in an optomechanical system with exceptional points
• Non-Hermitian Chern bands
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Pump-induced Exceptional Points in Lasers
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• Parity-time-symmetric quantum critical phenomena
• Effective operator formalism for open quantum systems
• Unconventional Fermi surface in an insulating state
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Majorana bound states from exceptional points in non-topological superconductors
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Symmetry-protected nodal phases in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Modelling the Localized to Itinerant Electronic Transition in the Heavy Fermion System CeIrIn5
• Heralded magnetism in non-Hermitian atomic systems
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Quantum Oscillations of Electrical Resistivity in an Insulator
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Exceptional rings protected by emergent symmetry for mechanical systems
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• Fermi surfaces in Kondo insulators
• Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model
• Finite-temperature spectra and quasiparticle interference in Kondo lattices: From light electrons to coherent heavy quasiparticles
• Low-energy properties of the Kondo lattice model

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• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• Non-Hermitian band topology with generalized inversion symmetry
• Exceptional band touching for strongly correlated systems in equilibrium
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Exceptional points in the one-dimensional Hubbard model
• Topological enhancement of non-normality in non-Hermitian skin effects
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Symmetry protected exceptional points of interacting fermions
• Exceptional dynamics of interacting spin liquids
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Surface exceptional points in a topological Kondo insulator
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Retardaion-induced exceptional point
• Breakdown of bulk-projected isotropy in surface electronic states of topological Kondo insulator SmB${}_6$(001)
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Machine learning of mirror skin effects in the presence of disorder
• Low-energy excitations and transport functions of the one-dimensional Kondo insulator
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Topological spin textures in electronic non-Hermitian systems
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Photo-emission signatures of coherence breakdown in Kondo alloys: dynamical mean-field theory approach
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Exceptional Luttinger Liquids from sublattice dependent interaction