Parquet approximation calculation for the 2D Hubbard model

ORAL

Abstract

We present a numerical solution of the parquet approximation on a half-filled 4x4 Hubbard cluster. The parquet formalism is a two-particle self consistent set of equations relating the reducible, irreducible, and fully irreducible vertieces. The simplest approximation from this formalism is the so-called parquet approximation, in which the fully irreducible vertex is approximated by the bare interaction. Our results are compared with results from Self-Consistent 2nd-order approximation, Fluctuation Exchange (FLEX) approximation and the Determinental Quantum Monte Carlo (DQMC) calculation.

*We would like to acknowledge the support from SciDAC and NSF PIRE

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Authors

  • Shuxiang Yang

    • University of Cincinnati
    • Louisiana State University

  • Herbert Fotso

    • University of Cincinnati
    • Louisiana State University

  • Jun Liu

    • University of Cincinnati
    • Louisiana State University

  • Mark Jarrell

    • Department of Physics and Astronomy, Louisiana State University
    • Louisiana State University
    • University of Cincinnati

  • Eduardo D'Azevedo

    • Oak Ridge National Laboratory

  • Thomas Maier

    • Oak Ridge National Laboratory
    • Oak Ridge National Lab

  • Karen Tomko

    • Ohio Supercomputer Center

  • Richard Scalettar

    • University of California - Davis

  • Thomas Pruschke

    • University of Goettingen, Germany