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Tracking the Footprints of Spin Fluctuations: A Multi-Method, Multi-Messenger Approach to the Weak-coupling Regime of the Two-Dimensional Hubbard Model

ORAL

Abstract

The Hubbard model is the paradigmatic model of this field, similar to what the drosophila is to genetics. Despite its simplicity, the Hubbard model presents a formidable challenge to computational and theoretical methods alike.

The work I will talk about, borrowing terminology from astrophysics, represents an extensive ’multi-method, multi-messenger’ assessment of the wealth of computational methods that have been developed in recent years to determine the physical properties of the Hubbard model in two spatial dimensions. These methods range from simple mean-field theory to cutting-edge quantum-field theoretical approaches as dynamical mean field theory and its extensions. Each of these methods is compared to two numerically exact benchmarks provided by diagrammatic Monte Carlo and determinantal quantum Monte Carlo. In approaching the weak coupling regime of this model in such a way, I will elucidate the nature and role of magnetic fluctuations present and explain their implications on the theory of metallic materials with strong magnetic correlations. arXiv:2006.10769

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Presenters

  • 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

Authors

  • 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

  • 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

  • Fedor Simkovic

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

  • Yuan-Yao He

    Center for Computational Quantum Physics, Simons foundation, Center of Computational Quantum Physics, Flatiron Institute, New York City, USA, Simons Foundation

  • Cornelia Hille

    Institut für Theoretische Physik and Center for Quantum Science, Universität Tübingen, Germany

  • 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

  • Christian Eckhardt

    Institut für Theoretische Festkörperphysik, RWTH Aachen University, Germany, Theory, Max Planck Institut for Structure and Dynamcis of Matter

  • Behnam Arzhang

    Department of Physics and Physical Oceanography, Memorial University of Newfoundland, Canada

  • Viktor Harkov

    I. Institute of Theoretical Physics, Department of Physics, University of Hamburg, Germany

  • François-Marie Le Régent

    CPHT, École Polytechnique, Palaiseau, France

  • Yan Wang

    Départment de Physique, Institut quantique and RQMP, Université de Sherbrooke, Sherbrooke, Canada

  • Aaram J. Kim

    King's College London, Department of Physics, King’s College London, UK, Department of Physics, King's College London

  • Evgeny Kozik

    King's College London, Department of Physics, King’s College London, UK, Department of Physics, King's College London

  • Evgeny A. Stepanov

    I. Institute of Theoretical Physics, Department of Physics, University of Hamburg, Germany

  • Anna Kauch

    Institut für Festkörperphysik, TU Wien, Solid State Physics, TU Wien, Department of Solid State Physics, Vienna Univ of Technology

  • 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

  • Daniel Rohe

    Forschungszentrum Juelich GmbH, Germany

  • Yuri Vilk

    Départment de Physique, Institut quantique and RQMP, Université de Sherbrooke, Sherbrooke, Canada

  • James P. F. LeBlanc

    Department of Physics and Physical Oceanography, Memorial University of Newfoundland, Canada, Memo Univ of Newfoundland

  • Shiwei Zhang

    Center for Computational Quantum Physics, Simons foundation, Flatiron institute, Center for Computational Quantum Physics, Flatiron Institute; William & Mary, Center of Computational Quantum Physics, Flatiron Institute, New York City, USA, Center for Computational Quantum Physics, Flatiron Institute, Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, NY 10010, Simons Foundation, Center for Computational Quantum Physics

  • Andre-Marie Tremblay

    Départment de Physique, Institut quantique and RQMP, Université de Sherbrooke, Sherbrooke, Canada, Département de physique & Institut quantique, Université de Sherbrooke

  • Michel Ferrero

    CPHT, École Polytechnique, Palaiseau, France, Ecole Polytechnique, 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

  • Antoine Georges

    Collège de France, Paris and Flatiron Institute, New York, Simons Foundation, Center for Computational Quantum Physics, Flatiron Institute, Center of Computational Quantum Physics, Flatiron Institute, New York City, USA, College de France