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Entangled magnetic, charge, and superconducting pairing correlations in the two-dimensional Hubbard model: a functional renormalization-group analysis

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arxiv 2308.06497 v2 pith:K2ZMWITA submitted 2023-08-12 cond-mat.str-el

Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen This is my paper · ORCID
classification cond-mat.str-el
keywords analysisfunctionalhubbardmagneticmodelsuperconductingsusceptibilitiestwo-dimensional
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abstract

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed analysis of their evolution with temperature, interaction strength, and loop order. By breaking down the susceptibilities into contributions from the bare susceptibility and the individual channels, we investigate their relative importance as well as the channel interplay. In particular, we trace the influence of antiferromagnetic fluctuations on the $d$-wave superconductivity and provide an analytical understanding for the observed behavior.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Screening and effective RPA-like charge susceptibility in the extended Hubbard model

    cond-mat.str-el 2024-12 conditional novelty 7.0 of 10

    In the two-dimensional extended Hubbard model, the charge susceptibility obeys an RPA-like formula built from the U'=0 polarization, because the density fermion-boson coupling is nearly independent of U'.

  2. Multiloop functional renormalization group from single bosons

    cond-mat.str-el 2025-12 conditional novelty 6.0 of 10

    A multiloop functional renormalization group in the single-boson-exchange representation reproduces parquet-approximation results for the 2D Hubbard model within a few percent when multi-boson rest functions are neglected.

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