Non-Local Corrections to the Dynamical Mean Field Theory for the Hubbard Model

ORAL

Abstract

We use the diagrammatic parquet formalism to calculate the non-local corrections to the Dynamical Mean Field Theory ($DMFT$) solution for the two-dimensional Hubbard model. The Dynamical Mean Field Theory vertex and Green's function are used as input to calculate the Feynman diagrams on a finite size cluster. This approach properly addresses the local as well as the short-range correlations, as illustrated by the agreement of the obtained local moment and the Neel critical temperature with Quantum Monte Carlo calculations on a $4$x$4$ cluster.

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Authors

  • Herbert Fotso

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

  • Shuxiang Yang

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

  • Ka-Ming Tam

    • Department of Physics and Astronomy, Louisiana State University

  • Juana Moreno

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University

  • Mark Jarrell

    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University

  • Hartmut Hafermann

    • Centre de Physique Th\'eorique, \'Ecole Polytechnique, 91128 Palaiseau Cedex, France
    • Centre de Physique Theorique, Ecole Polytechnique, Paris, France