Real-space cluster dynamical mean-field theory: Center focused extrapolation on the one- and two particle level

ORAL

Abstract

We revisit the cellular dynamical mean-field theory (CDMFT) for the single band Hubbard model on the square lattice at half filling, reaching real-space cluster sizes of up to 9 x 9 sites. Using benchmarks against direct lattice diagrammatic Monte Carlo at high temperature, we show that the self-energy obtained from a cluster center focused extrapolation converges faster with the cluster size than the periodization schemes previously introduced in the literature. The same benchmark also shows that the cluster spin susceptibility can be extrapolated to the exact result at large cluster size, even though its spatial extension is larger than the cluster size.

*We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG) through ZUK 63 and Project No. AN 815/6-1

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Presenters

  • Marcel Klett

    • Research Group "Theory of Strongly Correlated Quantum Matter", Max-Planck Institute for Solid State Research, Stuttgart, Germany
    • Theory of strongly correlated quantum matter, Max Planck Institute for Solid State Research

Authors

  • Marcel Klett

    • Research Group "Theory of Strongly Correlated Quantum Matter", Max-Planck Institute for Solid State Research, Stuttgart, Germany
    • Theory of strongly correlated quantum matter, Max Planck Institute for Solid State Research

  • Nils Wentzell

    • Center for Computational Quantum Physics, Flatiron Institute
    • Center of Computational Quantum Physics, Flatiron Institute, New York City, USA
    • Center for Computational Quantum Physics, Flatiron institute

  • Thomas Schaefer

    • Research Group "Theory of Strongly Correlated Quantum Matter", Max-Planck Institute for Solid State Research, Stuttgart, Germany
    • Theory of strongly correlated quantum matter, Max Planck Institute for Solid State Research

  • Fedor Simkovic

    • Ecole Polytechnique
    • CPHT, École Polytechnique, Palaiseau, France
    • College de France
    • CPHT, Ecole Polytechnique & Collège de France

  • Olivier Parcollet

    • Center for Computational Quantum Physics, Flatiron Institute
    • Center of Computational Quantum Physics, Flatiron Institute, New York City, USA
    • Center for Computational Quantum Physics, Flatiron institute
    • Simons Foundation
    • Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, NY 10010, USA

  • Sabine Andergassen

    • Institut für Theoretische Physik and Center for Quantum Science, Universität Tübingen, Germany
    • Institut fuer Theoretische Physik and Center for Quantum Science, University Tuebingen

  • Philipp Hansmann

    • Department of Physics, University of Erlangen-Nuremberg, Germany
    • Institut für Theoretische Physik, Friedrich-Alexander-University Erlangen-Nuernberg
    • Max Planck Institute for Chemical Physics of Solids
    • Max-Planck Institute for Chemical Physics of Solids