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SKM 2021 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: Poster Session: Correlated Electrons

TT 9.34: Poster

Tuesday, September 28, 2021, 13:30–16:00, P

Tracking the footprints of spin fluctuations: a multi-method, multi-messenger study of the two-dimensional Hubbard model — •T. Schäfer1, N. Wentzell2, F. Šimkovic3,4, Y.-Y. He2, C. Hille5, M. Klett1, C. Eckhardt6, B. Arzhang7, V. Harkov8, F.-M. Le Régent4, A. Kirsch4, Y. Wang9, A. J. Kim10, E. Kozik10, E. A. Stepanov8, A. Kauch6, S. Andergassen5, P. Hansmann11, D. Rohe12, Y. Vilk9, J. P. F. LeBlanc7, S. Zhang2, A.-M. S. Tremblay9, M. Ferrero3,4, O. Parcollet2, and A. Georges2,3,41MPI-FKF, Stuttgart — 2CCQ, Flatiron Institute, New York — 3Collège de France, Paris — 4École Polytechnique, Palaiseau — 5Universität Tübingen — 6TU Wien — 7Memorial University of Newfoundland — 8University of Hamburg — 9Université de Sherbrooke — 10King's College London — 11University of Erlangen-Nuremberg — 12Forschungszentrum Juelich GmbH

This work 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, the most fundamental model for electronic correlations, 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 and the role of magnetic fluctuations as well as their implications on the theory of metallic materials with strong magnetic correlations are elucidated.

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