Regensburg 2022 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 16: Correlated Electrons: Method Development
TT 16.10: Talk
Wednesday, September 7, 2022, 12:15–12:30, H10
Single-boson-exchange-fRG application to the two-dimensional Hubbard model at weak coupling — •Sarah Heinzelmann1, Kilian Fraboulet1, Pietro Bonetti2, Aiman Al-Eryani1, Demetrio Vilardi2, Alessandro Toschi3, and Sabine Andergassen1 — 1Eberhard Karls Universität Tübingen — 2Max Planck Institut Stuttgart — 3Technische Universität Wien
We illustrate the computational advantages of the recently introduced single-boson exchange (SBE) formulation for the one-loop functional renormalization group (fRG) applied to the two-dimensional Hubbard model. We present a detailed analysis of the physical susceptibilities and their evolution with temperature and interaction strength, both at half filling and finite doping. We find that the rest functions describing the corrections beyond the SBE contributions play a negligible role in the weak coupling regime. The SBE formulation of the fRG flow hence allows for a substantial reduction of the numerical effort in the treatment of the two-particle vertex function, paving a promising route for future multiboson and multiloop extensions.