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TT: Fachverband Tiefe Temperaturen
TT 86: Correlated Electrons: Method Development
TT 86.7: Talk
Friday, March 22, 2024, 11:00–11:15, H 3007
Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group — •Miriam Patricolo1,2, Marcel Gievers4,5, Kilian Fraboulet3, Sarah Heinzelmann3, Demetrio Vilardi2, Pietro M. Bonetti2, and Sabine Andergassen1,6 — 1Institute of Information Systems Engineering, Vienna University of Tec., Vienna, Austria — 2Max Planck Institute for Solid State Research, Stuttgart, Germany — 3Institut für Theoretische Physik and Center for Quantum Science, Universität Tübingen, Tübingen, Germany — 4Ludwig-Maximilians-Universität München, München, Germany — 5Max Planck Institute of Quantum Optics, Garching, Germany — 6Institute for Solid State Physics, Vienna University of Technology, Vienna, Austria
We extend the recently introduced single-boson exchange (SBE) formulation to the computation of the self-energy from the Schwinger-Dyson equation. In particular, we derive its general expression both in diagrammatic and physical channels and show that the SBE formulation of the Schwinger-Dyson equation can be naturally applied also to non-local interactions. We furthermore discuss its implications in a truncated unity solver. As an application, we provide functional renormalization group results for the two-dimensional Hubbard model at weak coupling, where the use of the Schwinger-Dyson equation for the self-energy flow allows to capture the pseudogap opening. We illustrate how the SBE formulation proves particularly advantageous in identifying the relevant physical channels responsible for driving the physical behavior.
Keywords: Hubbard model; Self energy; strong correlated electron systems; Schwinger Dyson equation; Functional Renormalization Group