An alternative functional renormalization group approach to the single impurity Anderson model

Abstract

We present an alternative functional renormalization group (fRG) approach to the single-impurity Anderson model at finite temperatures. Starting with the exact self-energy and interaction vertex of a small system ('core') containing a correlated site, we switch on the hybridization with a non-interacting bath in the fRG-flow and calculate spectra of the correlated site. Different truncations of the RG-flow-equations and choices of the core are compared and discussed. Furthermore we calculate the linear conductance and the magnetic susceptibility as functions of temperature and interaction strength. The signatures of Kondo physics arising in the flow are compared with numerical renormalization group results.

16 pages

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Cited by in corpus (16)

• From infinite to two dimensions through the functional renormalization group
• High-frequency asymptotics of the vertex function: diagrammatic parametrization and algorithmic implementation
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Correlated starting points for the functional renormalization group
• Cluster Functional Renormalization Group
• Two-particle irreducible functional renormalization group schemes---a comparative study
• A Non-Perturbative Renormalization Group approach to quantum XY spin models
• Solution of the Anderson impurity model via the functional renormalization group
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Two-particle-correlations in a functional renormalization group scheme using a dynamical mean-field theory approach
• Hierarchical Parallelisation of Functional Renormalisation Group Calculations -- hp-fRG
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• Ground-state properties of the symmetric single-impurity Anderson model on a ring from Density-Matrix Renormalization Group, Hartree-Fock, and Gutzwiller theory
• Analytic continuation of multipoint correlation functions
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism