Electron-phonon vertex in the two-dimensional one-band Hubbard model

Abstract

Using quantum Monte Carlo techniques, we study the effects of electronic correlations on the effective electron-phonon (el-ph) coupling in a two-dimensional one-band Hubbard model. We consider a momentum-independent bare ionic el-ph coupling. In the weak- and intermediate-correlation regimes, we find that the on-site Coulomb interaction $U$ acts to effectively suppress the ionic el-ph coupling at all electron- and phonon- momenta. In this regime, our numerical simulations are in good agreement with the results of perturbation theory to order $U^2$. However, entering the strong-correlation regime, we find that the forward scattering process stops decreasing and begins to substantially increase as a function of $U$, leading to an effective el-ph coupling which is peaked in the forward direction. Whereas at weak and intermediate Coulomb interactions, screening is the dominant correlation effect suppressing the el-ph coupling, at larger $U$ values irreducible vertex corrections become more important and give rise to this increase. These vertex corrections depend crucially on the renormalized electronic structure of the strongly correlated system.

arXiv comment5 pages, 4 eps-figures, minor changes

References in corpus (10)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Anomalous low doping phase of the Hubbard model
• The Electron-Phonon Interaction in the Presence of Strong Correlations
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• Conserving approximations for the attractive Holstein and Hubbard models
• Iterated perturbation theory for the attractive Holstein and Hubbard models
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
• Electron-Phonon Interactions in Correlated Systems: Adiabatic Expansion of the Dynamical Mean-Field Theory
• Superconductivity in High Tc Cuprates: The Cause Is No Longer a Mystery
• Semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals

Cited by in corpus (59)

• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Enhanced superconductivity due to forward scattering in FeSe thin films on SrTiO3 substrates
• Electron-phonon Interaction close to a Mott transition
• Interplay between electron-phonon and Coulomb interactions in cuprates
• Interplay of Electron-Phonon Interaction and Electron Correlation in High Temperature Superconductivity
• Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
• Momentum dependence of the electron-phonon coupling and self-energy effects in YBa_2Cu_3O_7 within the local density approximation
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• Evidence for forward scattering and coupling to acoustic phonon modes in high-T${}_c$ cuprate superconductors
• Phonons and d-wave pairing in the two-dimensional Hubbard model
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• Low-Temperature and High-Energy-Resolution Laser Photoemission Spectroscopy
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Ab initio Study of Cross-Interface Electron-Phonon Couplings in FeSe Thin Films on SrTiO${}_3$ and BaTiO${}_3$
• Density-matrix renormalization group study of pairing when electron-electron and electron-phonon interactions coexist: effect of the electronic band structure
• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: A Dynamical Mean Field Theory analysis
• Retardation effects and the Coulomb pseudopotential in the theory of superconductivity
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Coulomb and electron-phonon interactions in metals
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Phonons, electronic charge response and electron-phonon interaction in the high-temperature superconductors
• Charge fluctuations and electron-phonon interaction in the finite-$U$ Hubbard model
• Doping-dependent energy scale of the low-energy band renormalization in (Bi,Pb)2(Sr,La)2CuO6+d
• Respective Roles of Electron-Phonon and Electron-Electron Interactions in the Transport and Quasiparticle Properties of SrVO${}_3$
• Phonon enhancement of electronic orders and negative isotope effect in the Hubbard-Holstein model on a square lattice
• Renormalization Group Study of the Electron-phonon Interaction in the High Tc Cuprates
• Phase diagram of one-dimensional Hubbard-Holstein model at quarter-filling
• Theory of electron-phonon superconductivity: Does retardation really lead to a small Coulomb pseudopotential?
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model
• Optical response of laser-driven charge-transfer complex described by Holstein-Hubbard model coupled to heat baths: Hierarchical equations of motion approach
• Polaronic approach to strongly correlated electron system with strong electron-phonon interaction
• Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
• Correlated singlet phase in the one-dimensional Hubbard-Holstein model
• The Holstein-Hubbard Model at Half-filling : A Static Auxiliary Field Study
• Effective electron-phonon coupling and polaronic transition in the presence of strong correlation
• Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems
• Plain $s$-wave superconductivity near the magnetic criticality: Enhancement of attractive electron-boson coupling vertex corrections
• Sum rules and vertex corrections for electron-phonon interactions
• Renormalization of the electron-spin-fluctuation interaction in the t-t'-U Hubbard model
• Extended Gutzwiller wavefunction for the Hubbard-Holstein model
• Charge susceptibility in the t-J model
• Strong enhancement of d-wave superconducting state in the three-band Hubbard model coupled to an apical oxygen phonon
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• Effective electron-electron and electron-phonon interactions in the Hubbard-Holstein model
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Role of vertex corrections in the spin-fluctuation mediated pairing mechanism
• Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
• Charge correlations suppress unconventional pairing in the Holstein model
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling
• Charge-density-wave instability in the Holstein model with quartic anharmonic phonons
• The influence of phonon symmetry and electronic structure on the electron-phonon coupling momentum dependence in cuprates
• Strength of the d_{x^2-y^2} pairing in the two-leg Hubbard ladder
• Electron-phonon coupling in correlated materials: insights from the Hubbard-Holstein model