# TRILEX and GW+EDMFT approach to d-wave superconductivity in the Hubbard model

Abstract : We generalize the recently introduced TRILEX approach (TRiply Irreducible Local EXpansion) to superconducting phases. The method treats simultaneously Mott and spin-fluctuation physics using an Eliashberg theory supplemented by local vertex corrections determined by a self-consistent quantum impurity model. We show that, in the two-dimensional Hubbard model, at strong coupling, TRILEX yields a $d$-wave superconducting dome as a function of doping. Contrary to the standard cluster dynamical mean field theory (DMFT) approaches, TRILEX can capture $d$-wave pairing using only a single-site effective impurity model. We also systematically explore the dependence of the superconducting temperature on the bare dispersion at weak coupling, which shows a clear link between strong antiferromagnetic (AF) correlations and the onset of superconductivity. We identify a combination of hopping amplitudes particularly favorable to superconductivity at intermediate doping. Finally, we study within $GW$+EDMFT the low-temperature $d$-wave superconducting phase at strong coupling in a region of parameter space with reduced AF fluctuations.
Document type :
Preprints, Working Papers, ...

https://hal-cea.archives-ouvertes.fr/cea-01550542
Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, June 29, 2017 - 4:05:58 PM
Last modification on : Wednesday, March 27, 2019 - 4:02:05 PM

### Identifiers

• HAL Id : cea-01550542, version 1
• ARXIV : 1705.08332

### Citation

Jaksa Vucicevic, Thomas Ayral, Olivier Parcollet. TRILEX and GW+EDMFT approach to d-wave superconductivity in the Hubbard model. 2017. ⟨cea-01550542⟩

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