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Interplay between magnetic and superconducting fluctuations in the doped 2d Hubbard model
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We study the Hubbard model on a square lattice, using the dynamical vertex approximation and the parquet approximation. These methods allow us to describe the mutual interference of spin-fluctuations in the particle-hole channel and superconducting fluctuations in the cooperon channel in an unbiased way. For small dopings we find predominant commensurable antiferromagnetic spin- and d-wave superconducting fluctuations; for larger doping incommensurate antiferromagnetic spin fluctuations are concomitant to triplet s-wave superconducting fluctuations.
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Multiloop functional renormalization group from single bosons
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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