Electron-phonon coupling in correlated materials: insights from the Hubbard-Holstein model

Abstract

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon couplings on correlation strength in quantum materials. We find that the electron-phonon interaction is strongly suppressed by electronic correlations, while electron-electron correlation effects at Fermi liquid scales are only weakly modified by coupling to phonons, with phonon-induced modifications most evident at high frequencies on the order of the electronic bandwidth. Implications for beyond-density functional theories of the electron-phonon interaction are discussed.

8 pages, 5 figures

References in corpus (30)

• Electron-phonon interactions from first principles
• A continuous-time solver for quantum impurity models
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Impact of the electron-electron correlation on phonon dispersions: failure of LDA and GGA functionals in graphene and graphite
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Correlation-enhanced electron-phonon coupling: Applications of GW and screened hybrid functional to bismuthates, chloronitrides, and other high Tc superconductors
• Electron-Phonon Coupling from $\text{Ab Initio}$ Linear-Response Theory within the $GW$ Method: Correlation-Enhanced Interactions and Superconductivity in Ba${}_{1-x}$K${}_x$BiO${}_3$
• Improved Estimators for the Self-Energy and Vertex Function in Hybridization Expansion Continuous-Time Quantum Monte Carlo Simulations
• Electron-phonon Interaction close to a Mott transition
• Interplay between electron-phonon and Coulomb interactions in cuprates
• Charge-density-waves and superconductivity as an alternative to phase separation in the infinite-U Hubbard-Holstein model
• Strong Pressure Dependent Electron-Phonon Coupling in FeSe
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Bipolaronic high-temperature superconductivity
• Electron-phonon interaction and antiferromagnetic correlations
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• Strong Coupling Limit of the Holstein-Hubbard Model
• Apparent electron-phonon interaction in strongly correlated systems
• Electron-phonon interaction in Strongly Correlated Systems
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Charge fluctuations and electron-phonon interaction in the finite-$U$ Hubbard model
• Respective Roles of Electron-Phonon and Electron-Electron Interactions in the Transport and Quasiparticle Properties of SrVO${}_3$
• Combining Electron-Phonon and Dynamical Mean-Field Theory Calculations of Correlated Materials: Transport in the Correlated Metal Sr${}_2$RuO${}_4$
• Electron-phonon coupling from GW perturbation theory: Practical workflow combining BerkeleyGW, ABINIT, and EPW
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• Impact of electronic correlations on the superconductivity of high-pressure CeH${}_9$
• Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
• Oscillate and Renormalize: Fast Phonons Reshape the Kondo Effect in Flat Band Systems