Analytic impurity solver with the Kondo strong-coupling asymptotics

Abstract

We present an analytic universal impurity solver for strongly correlated electrons. We extend the many-body perturbation expansion via suitable two-particle renormalizations from the Fermi-liquid regime to the critical region of the metal-insulator transition. The reliability of the approximation in the strong-coupling limit is demonstrated by reproducing the Kondo scale in the single-impurity Anderson model. We disclose the origin of the Kondo resonance in terms of Feynman diagrams and find criteria for the existence of the proper Kondo asymptotic behavior in approximate theories.

7 pages REVTeX4, 5 EPS figures, extended version

References in corpus (4)

• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Stability of self-consistent solutions for the Hubbard model at intermediate and strong coupling
• Strong Coupling Solver for the Quantum Impurity Model

Cited by in corpus (30)

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• Thermodynamically consistent description of criticality in models of correlated electrons
• Functional renormalization group approach to the Anderson impurity model
• Kondo behavior in the asymmetric Anderson model: Analytic approach
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Dynamical Mean-Field Theory
• Self-Consistent Fluctuation Theory for Strongly Correlated Electron Systems
• Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model
• Mean-field approximation for thermodynamic and spectral functions of correlated electrons: Strong-coupling and arbitrary band filling
• Strongly correlated electrons: Analytic mean-field theories with two-particle self-consistency
• Summing parquet diagrams using the functional renormalization group: X-ray problem revisited
• Rigorous Wilsonian Renormalization Group for impurity models with a spectral gap
• Multi-orbital simplified parquet equations for strongly correlated electrons
• Unified theory of quantum phase transitions in quantum dots with gapped host bands
• Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems
• Real-time effective-action approach to the Anderson quantum dot
• Curie-Weiss susceptibility in strongly correlated electron systems
• Development of an efficient impurity solver in dynamical mean field theory for multi-band systems: The iterative perturbation theory combined with the parquet equations
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Failure of the mean-field description of magnetic fluctuations in the superconducting quantum dot
• Simplification of the local full vertex in the impurity problem in DMFT and its applications for the nonlocal correlation
• Failure of the Baym-Kadanoff construction to match consistently quantum dynamics with thermodynamic critical behavior
• Antiferromagnetic fluctuations in the one-dimensional Hubbard model
• Improvement of the simplification method for the local two-particle full-vertex towards precise frequency behavior