Spectral function of the Anderson impurity model at finite temperatures

Abstract

Using the functional renormalization group (FRG) and the numerical renormalization group (NRG), we calculate the spectral function of the Anderson impurity model at zero and finite temperatures. In our FRG scheme spin fluctuations are treated non-perturbatively via a suitable Hubbard-Stratonovich field, but vertex corrections are neglected. A comparison with our highly accurate NRG results shows that this FRG scheme gives a quantitatively good description of the spectral line-shape at zero and finite temperatures both in the weak and strong coupling regimes, although at zero temperature the FRG is not able to reproduce the known exponential narrowing of the Kondo resonance at strong coupling.

6 pages, 3 figures; new references added

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Cited by in corpus (16)

• Functional renormalization group approach to correlated fermion systems
• Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Fulfillment of sum rules and Ward identities in the multiloop functional renormalization group solution of the Anderson impurity model
• Real time evolution at finite temperatures with operator space matrix product states
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals
• An alternative functional renormalization group approach to the single impurity Anderson model
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Solution of the Anderson impurity model via the functional renormalization group
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Extended dissipaton equation of motion for electronic open quantum systems: Application to the Kondo impurity model
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• Simple embedding scheme for the spectral properties of the Single-Impurity Anderson Model
• Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective
• Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism
• Functional renormalization group approach to the singlet-triplet transition in quantum dots