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
*Erwin-Schrödinger Fellowship J 4266 - “Superconductivity in the vicinity of Mott insulators”
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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
