Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems

Abstract

We identify the precise hallmarks of the local magnetic moment formation and its Kondo screening in the frequency structure of the generalized charge susceptibility. The sharpness of our identification even pinpoints an alternative criterion to determine the Kondo temperature of strongly correlated systems on the two-particle level, which only requires calculations at the lowest Matsubara frequency. We showcase its strength by applying it to the single impurity and the periodic Anderson model as well as to the Hubbard model. Our results represent a significant progress for the general understanding of quantum field theory at the two-particle level and allow for tracing the limits of the physics captured by perturbative approaches in correlated regimes.

accepted for publication in Phys. Rev. Lett

References in corpus (81)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• The Puzzle of High Temperature Superconductivity in Layered Iron Pnictides and Chalcogenides
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Cluster Theories
• Scanning tunneling spectroscopy of high-temperature superconductors
• Functional renormalization group approach to correlated fermion systems
• Coherence-incoherence crossover in the normal state of iron-oxypnictides and importance of the Hund's rule coupling
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Janus-faced influence of the Hund's rule coupling in strongly correlated materials
• Local Electronic Correlation at the Two-Particle Level
• On the fulfillment of Ward identities in the functional renormalization group approach
• w2dynamics: Local one- and two-particle quantities from dynamical mean field theory
• Strong coupling superconductivity, pseudogap and Mott transition
• Non-existence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
• Josephson current through a single Anderson impurity coupled to BCS leads
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• From infinite to two dimensions through the functional renormalization group
• Fe-based superconductors: seven years later
• Divergent Precursors of the Mott-Hubbard Transition at the Two-Particle Level
• Quantum Critical Transport Near the Mott Transition
• Tuning the Josephson current in carbon nanotubes with the Kondo effect
• Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Functional renormalization group for non-equilibrium quantum many-body problems
• A finite-frequency functional RG approach to the single impurity Anderson model
• A novel approach to transport through correlated quantum dots
• High-frequency asymptotics of the vertex function: diagrammatic parametrization and algorithmic implementation
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Breakdown of traditional many-body theories for correlated electrons
• Finite temperature crossovers and the quantum Widom line near the Mott transition
• Charge transport through single molecules, quantum dots, and quantum wires
• Efficient implementation of the parquet equations -- role of the reducible vertex function and its kernel approximation
• Non-perturbative landscape of the Mott-Hubbard transition: Multiple divergence lines around the critical endpoint
• Multiloop functional renormalization group for general models
• Efficient treatment of two-particle vertices in dynamical mean-field theory
• Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson Impurity Model
• Functional renormalization group approach to zero-dimensional interacting systems
• Consistent partial bosonization of the extended Hubbard model
• Parquet approximation for the 4x4 Hubbard cluster
• Parquet decomposition calculations of the electronic self-energy
• Unphysical and Physical Solutions in Many-Body Theories: from Weak to Strong Correlation
• Antiferromagnetic and d-wave pairing correlations in the strongly interacting two-dimensional Hubbard model from the functional renormalization group
• Functional renormalization group study of the interacting resonant level model in and out of equilibrium
• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
• Solving the Parquet Equations for the Hubbard Model beyond Weak Coupling
• Attractive effect of a strong electronic repulsion -- the physics of vertex divergences
• Practical consequences of Luttinger-Ward functional multivaluedness for cluster DMFT methods
• Single-boson exchange decomposition of the vertex function
• Generic optical excitations of correlated systems: $\pi$-tons
• Analytical investigation of singularities in two-particle irreducible vertex functions of the Hubbard atom
• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• Derivation of exact flow equations from the self-consistent parquet relations
• Stability of self-consistent solutions for the Hubbard model at intermediate and strong coupling
• Self-energy and vertex functions from hybridization expansion continuous-time quantum Monte Carlo for impurity models with retarded interaction
• The Bethe-Salpeter equation at the critical end-point of the Mott transition
• Effective Heisenberg model and exchange interaction for strongly correlated systems
• Nonlocal correlations and spectral properties of the Falicov-Kimball model
• Parquet-like equations for the Hedin three-leg vertex
• Interplay between local response and vertex divergences in many-fermion systems with on-site attraction
• Phase lapses in transmission through interacting two-level quantum dots
• Continuous-time quantum Monte Carlo calculation of multi-orbital vertex asymptotics
• Efficient Bethe-Salpeter equations' treatment in dynamical mean-field theory
• Analytic impurity solver with the Kondo strong-coupling asymptotics
• Functional renormalization group approach to the Anderson impurity model
• Fermion-boson vertex within Dynamical Mean-Field Theory
• Quantum criticality in the two-dimensional periodic Anderson model
• Fermi liquid theory and divergences of the two-particle irreducible vertex in the periodic Anderson lattice
• Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory
• Kondo behavior in the asymmetric Anderson model: Analytic approach
• Effective Ising model for correlated systems with charge ordering
• Kondo physics in transport through a quantum dot with Luttinger liquid leads
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Transport through a Kondo quantum dot: Functional RG approach
• Spectral function of the Anderson impurity model at finite temperatures
• A quantum criticality perspective on the charging of narrow quantum-dot levels
• Strongly correlated electrons: Analytic mean-field theories with two-particle self-consistency
• Transport through correlated quantum dots: An investigation using the functional renormalization group
• Curie-Weiss susceptibility in strongly correlated electron systems

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• The effect of local magnetic moments on spectral properties and resistivity near the interaction- and doping induced Mott transitions
• Spectral representation of Matsubara n-point functions: Exact kernel functions and applications
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• Compressing the two-particle Green's function using wavelets: Theory and application to the Hubbard atom
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• MatsubaraFunctions.jl: An equilibrium Green's function library in the Julia programming language
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• Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group
• Interacting nodal semimetals with non-linear bands
• Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
• Diagrammatic bosonization, aspects of criticality, and the Hohenberg-Mermin-Wagner theorem in parquet approaches
• Local magnetic moment formation and Kondo screening in the presence of Hund exchange: the two-band Hubbard model analysis
• The plain and simple parquet approximation: single- and multi-boson exchange in the two-dimensional Hubbard model
• Non-perturbative effects of short-range spatial correlations at the two-particle level
• Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis