Solution of the Anderson impurity model via the functional renormalization group

Abstract

We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our approach uses an external magnetic field as flow parameter, partial bosonization of the transverse spin fluctuations, and frequency-independent interaction vertices which are fixed by Ward identities. We calculate the quasi-particle residue and the spin susceptibility in the particle-hole symmetric case and obtain excellent agreement with the Bethe ansatz results for arbitrary strengths of the interaction.

5 pages, 4 figures; version published in PRB Rapid Communications

References in corpus (9)

• The numerical renormalization group method for quantum impurity systems
• Functional renormalization group approach to correlated fermion systems
• A finite-frequency functional RG approach to the single impurity Anderson model
• A novel approach to transport through correlated quantum dots
• Functional renormalization group approach to the Anderson impurity model
• Spectral function of the Anderson impurity model at finite temperatures
• An alternative functional renormalization group approach to the single impurity Anderson model
• A new renormalization group approach for systems with strong electron correlation
• Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group

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• Fulfillment of sum rules and Ward identities in the multiloop functional renormalization group solution of the Anderson impurity model
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Renormalization group flow of the Luttinger-Ward functional: conserving approximations and application to the Anderson impurity model
• Nonperturbative renormalization-group approach to fermion systems in the two-particle-irreducible effective action formalism
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Rigorous Wilsonian Renormalization Group for impurity models with a spectral gap
• Unified theory of quantum phase transitions in quantum dots with gapped host bands
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• A functional renormalization group approach to electronic structure calculations for systems without translational symmetry
• Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism
• Kondo frustration via charge fluctuations: a route to Mott localisation