Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling

Kilian Fraboulet (), Sarah Heinzelmann, Pietro M. Bonetti, Aiman Al-Eryani, Demetrio Vilardi, Alessandro Toschi and Sabine Andergassen
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Kilian Fraboulet: Universität Tübingen
Sarah Heinzelmann: Universität Tübingen
Pietro M. Bonetti: Max Planck Institute for Solid State Research
Aiman Al-Eryani: Universität Tübingen
Demetrio Vilardi: Max Planck Institute for Solid State Research
Alessandro Toschi: Institute of Solid State Physics
Sabine Andergassen: Universität Tübingen

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 12, 1-22

Abstract: Abstract We illustrate the algorithmic advantages of the recently introduced single-boson exchange (SBE) formulation for the one-loop functional renormalization group (fRG), by applying it to the two-dimensional Hubbard model on a square lattice. We present a detailed analysis of the fermion-boson Yukawa couplings and of the corresponding physical susceptibilities by studying their evolution with temperature and interaction strength, both at half filling and finite doping. The comparison with the conventional fermionic fRG decomposition shows that the rest functions of the SBE algorithm, which describe correlation effects beyond the SBE processes, play a negligible role in the weak-coupling regime above the pseudo-critical temperature, in contrast to the rest functions of the conventional fRG. Remarkably, they remain finite also at the pseudo-critical transition, whereas the corresponding rest functions of the conventional fRG implementation diverge. As a result, the SBE formulation of the fRG flow 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. Graphic abstract

Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/s10051-022-00438-2

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