Simplified Parquet Equations for the Anderson Impurity Model: Comparison with Numerically Exact Solutions

• Authors: V. Pokorný , M. Žonda , A. Kauch , V. Janiš
• Languages of publication: EN

Abstracts

EN

We use an analytic solver for the single-impurity Anderson model based on simplified parquet equations to describe the Kondo asymptotics. This scheme uses a two-particle self-consistency to control the strong-coupling Kondo critical behavior of this model at half filling. The equations can be written in the real-frequency representation, which gives us direct access to spectral functions unlike numerical schemes in the Matsubara formalism. We compare our results to those obtained by second-order perturbation theory, numerical renormalization group, and continuous-time quantum Monte Carlo in order to assess the reliability of this approximation.

Keywords

EN

71.10.Fd; 72.15.Qm; 74.40.Kb

Discipline

• 72.15.Qm: Scattering mechanisms and Kondo effect(see also 75.20.Hr Local moments in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions in magnetic properties and materials)
• 74.40.Kb: Quantum critical phenomena
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 1042-1044

Dates

published

2017-04

Contributors

author

V. Pokorný

• Institute of Physics, Czech Academy of Sciences, Na Slovance 2, 182 21 Prague, Czech Republic

author

M. Žonda

• Department of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University in Prague, Ke Karlovu 5, 12116 Prague, Czech Republic

author

A. Kauch

• Institute of Physics, Czech Academy of Sciences, Na Slovance 2, 182 21 Prague, Czech Republic

author

V. Janiš

• Institute of Physics, Czech Academy of Sciences, Na Slovance 2, 182 21 Prague, Czech Republic

References

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Identifiers

DOI

10.12693/APhysPolA.131.1042