Phonon-mediated superconductivity in strongly correlated electron systems: a Luttinger-Ward functional approach
arXiv:1911.04000 · doi:10.1016/j.aop.2020.168100
Abstract
We use a Luttinger-Ward functional approach to study the problem of phonon-mediated superconductivity in electron systems with strong electron-electron interactions (EEIs). Our derivation does not rely on an expansion in skeleton diagrams for the EEI and the resulting theory is therefore nonperturbative in the strength of the latter. We show that one of the building blocks of the theory is the irreducible six-leg vertex related to EEIs. Diagrammatically, this implies five contributions (one of the Fock and four of the Hartree type) to the electronic self-energy, which, to the best of our knowledge, have never been discussed in the literature. Our approach is applicable to (and in fact designed to tackle superconductivity in) strongly correlated electron systems described by generic lattice models, as long as the glue for electron pairing is provided by phonons.
arXiv commentTo be published in the special issue of Annals of Physics "Eliashberg-90" dedicated to Gerasim (Sima) Eliashberg
References in corpus (38)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Correlated Electrons in High Temperature Superconductors
- Moire bands in twisted double-layer graphene
- Conventional superconductivity at 203 K at high pressures
- Tuning superconductivity in twisted bilayer graphene
- Superconductivity at 250 K in lanthanum hydride under high pressures
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Electron-phonon interactions from first principles
- Evidence for superconductivity above 260 K in lanthanum superhydride at megabar pressures
- A Common Thread: the pairing interaction for the unconventional superconductors
- Theory of Intertwined Orders in High Temperature Superconductors
- Magic Angle Spectroscopy
- Origin of Magic Angles in Twisted Bilayer Graphene
- Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
- Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
- Hydrogen sulphide at high pressure: a strongly-anharmonic phonon-mediated superconductor
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
- Phonon scattering dominated electron transport in twisted bilayer graphene
- Ab-initio theory of superconductivity - I: Density functional formalism and approximate functionals
- Order and quantum phase transitions in the cuprate superconductors
- Quantum Crystal Structure in the 250 K Superconducting Lanthanum Hydride
- Quantum Hydrogen-Bond Symmetrization and High-Temperature Superconductivity in Hydrogen Sulfide
- Ab-initio theory of superconductivity - II: Applications to elemental metals
- Cavity-mediated electron-photon superconductivity
- Theory of Superconductivity in Strongly Correlated Electron Systems
- Modeling the Unconventional Superconducting Properties of Expanded AC Fullerides
- Experimental evidence for bulk superconductivity in pure Bismuth single crystal at ambient pressure
- Effect of van Hove singularities on high-Tc superconductivity in H3S
- Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
- Dual boson approach to collective excitations in correlated fermionic systems
- van Hove singularities and spectral smearing in high temperature superconducting H3S
- Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
- A Tale of Two Metals: contrasting criticalities in the pnictides and hole-doped cuprates
- Gauge phonon dominated resistivity in twisted bilayer graphene near magic angle
- Kohn-Luttinger Correction to Tc in a Phonon Superconductor
- On the phonon-induced superconductivity of disordered alloys
- Adiabatic perturbation theory of nonequilibrium light-controlled superconductivity