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Simplified parquet equations for the Anderson impurity model: comparison with numerically exact solutions

Result description

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.n

Keywords

Anderson modelparquet equationsnumerical renormalization group

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Simplified parquet equations for the Anderson impurity model: comparison with numerically exact solutions

  • Original language description

    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.n

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Result continuities

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Physica Polonica. A

  • ISSN

    0587-4246

  • e-ISSN

  • Volume of the periodical

    131

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    PL - POLAND

  • Number of pages

    3

  • Pages from-to

    1042-1044

  • UT code for WoS article

    000401331400048

  • EID of the result in the Scopus database

    2-s2.0-85019575278

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Condensed matter physics (including formerly solid state physics, supercond.)

Year of implementation

2017