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. Šimkovic^3,4, 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. Ferrero^3,4, O. Parcollet², and A. Georges^2,3,4 — ¹MPI-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.