# Interplay between magnetic and superconducting fluctuations in the doped 2d Hubbard model

## TL;DR

This study investigates how magnetic and superconducting fluctuations interact in the doped 2D Hubbard model using advanced many-body techniques, revealing doping-dependent dominant fluctuation types and their coexistence.

## Contribution

It applies the dynamical vertex and parquet approximations to analyze the interplay of spin and superconducting fluctuations in the Hubbard model.

## Key findings

- At small doping, antiferromagnetic and d-wave superconducting fluctuations dominate.
- At larger doping, incommensurate antiferromagnetic fluctuations coexist with triplet s-wave superconducting fluctuations.
- The methods provide an unbiased description of fluctuation interference in the model.

## Abstract

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.