Interplay between electron-phonon and Coulomb interactions in cuprates

Abstract

Evidence for strong electron-phonon coupling in high-Tc cuprates is reviewed, with emphasis on the electron and phonon spectral functions. Effects due to the interplay between the Coulomb and electron-phonon interactions are studied. For weakly doped cuprates, the phonon self-energy is strongly reduced due to correlation effects, while there is no corresponding strong reduction for the electron self-energy. Polaron formation is studied, focusing on effects of Coulomb interaction and antiferromagnetic correlations. It is argued that experimental indications of polaron formation in undoped cuprates are due to a strong electron-phonon interaction for these systems.

43 pages and 22 figures

References in corpus (104)

• Correlated Electrons in High Temperature Superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• How to detect fluctuating order in the high-temperature superconductors
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Electron-phonon interactions and related physical properties of metals from linear-response theory
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Ab-initio theory of superconductivity - I: Density functional formalism and approximate functionals
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Neutron Scattering from Magnetic Excitations in Bi_2 Sr_2 Ca_2 O_8+delta
• On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• Renormalization of spectral lineshape and dispersion below Tc in Bi2Sr2CaCu2O8+d
• Ab-initio theory of superconductivity - II: Applications to elemental metals
• An unusual isotope effect in a high-transition-temperature superconductor
• Evidence for an energy scale for quasiparticle dispersion in Bi_2Sr_2CaCu_2O_8
• Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
• Nodal metallic behavior of lightly-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Anisotropic electron-phonon interaction in the cuprates
• The Electronic Nature of High Temperature Cuprate Superconductors
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Projected Wavefunctions and High Temperature Superconductivity
• Bilayer Splitting in the Electronic Structure of Heavily Overdoped Bi2Sr2CaCu2O8+d
• On the Fermi Liquid to Polaron Crossover I: General Results
• Coupling Of The B1g Phonon To The Anti-Nodal Electronic States of Bi2Sr2Ca0.92Y0.08Cu2O(8+delta)
• Bosonic Mode Mixing in the Superconducting State Spectral Function of Bi_2Sr_2CaCu_2O_{8+delta}
• Polaron in t-J model
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• The neutron resonance: modeling photoemission and tunneling data in the superconducting state of Bi_2Sr_2CaCu_2O_{8+d}
• Quasiparticles in the superconducting state of Bi2Sr2CaCu2O8
• Dynamical mean-field theory of the small polaron
• Multiple Bosonic Mode Coupling in Electron Self-Energy of (La_2-xSr_x)CuO_4
• Polarons and bipolarons in strongly interacting electron-phonon systems
• Mass-renormalized electronic excitations at ($\pi$, 0) in the superconducting state of $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$
• Angle-resolved photoemission in high Tc cuprates from theoretical viewpoints
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Direct observation of the oxygen isotope effect on the in-plane magnetic field penetration depth in optimally doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• The Electron-Phonon Interaction in the Presence of Strong Correlations
• Phonon dispersion and electron-phonon interaction for YBa_2Cu_3O_7 from first-principles calculations
• Mixed lattice and electronic states in high-temperature superconductors
• Polaronic behavior of undoped high-Tc cuprates
• Anomalous isotopic effect near the charge-ordering quantum criticality
• Charge transfer fluctuation, $d-$wave superconductivity, and the $B_{1g}$ Raman phonon in the Cuprates: A detailed analysis
• Electron-phonon Interaction close to a Mott transition
• Doping dependence of the mass enhancement in (Pb,Bi)_2 Sr_2 Ca Cu_2 O_8 at the antinodal point in the superconducting and normal state
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
• Electron-phonon interaction in the t-J model
• Gap formation and soft phonon mode in the Holstein model
• Single hole dynamics in the t-J model on a square lattice
• Static vs. dynamical mean field theory of Mott antiferromagnets
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Collective Modes and the Superconducting State Spectral Function of Bi2212
• Interplay of Electron-Phonon Interaction and Electron Correlation in High Temperature Superconductivity
• Effect of an Electron-phonon Interaction on the One-electron Spectral Weight of a d-wave Superconductor
• Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• Evolution of a polaron band through the phase diagram of Nd[2-x]Ce[x]CuO[4-y]
• Dynamical properties of the single--hole $t$--$J$ model on a 32--site square lattice
• Single hole spectral function and spin-charge separation in the t-J model
• Optical absorption and single-particle excitations in the 2D Holstein t-J model
• Holstein model in infinite dimensions at half-filling
• Bond-Stretching-Phonon Anomalies in Stripe-Ordered La(1.69)Sr(0.31)NiO(4)
• Optical Absorption of an Interacting Many-Polaron Gas
• Electron-phonon interaction and antiferromagnetic correlations
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Physical origin of the buckling in CuO${}_2$: Electron-phonon coupling and Raman spectra
• Dispersion Anomalies in Cuprate Superconductors
• Dispersion Anomalies in Bilayer Cuprates and the Odd Symmetry of the Magnetic Resonance
• Hole pairing and phonon dynamics in generalized 2D $t-J-$Holstein models
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Analysis of the elementary excitations in high-T_c cuprates: explanation of the new energy scale observed by ARPES
• Theory of the density fluctuation spectrum of strongly correlated electrons
• Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations
• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• Oxygen phonon branches in overdoped La${}_{1.7}$Sr${}_{0.3}$CuO${}_4$
• Relevance of phonon dynamics in strongly correlated systems coupled to phonons: A Dynamical Mean Field Theory analysis
• Apparent electron-phonon interaction in strongly correlated systems
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
• Electron-phonon interaction in the three-band model
• Dispersion of incoherent spectral features in systems with strong electron-phonon coupling
• Role of Inelastic Tunneling through the Barrier in Scanning Tunneling Microscope Experiments on Cuprates
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Polaronic and nonadiabatic phase diagram from anomalous isotope effects
• Calculation of overdamped c-axis charge dynamics and the coupling to polar phonons in cuprate superconductors
• Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
• ARPES kink is a "smoking gun" for the theory of high-Tc superconductors: dominance of the electron-phonon interaction with forward scattering peak
• Buckling and d-Wave Pairing in HiTc-Superconductors
• Self-localization of composite spin-lattice polarons
• Polaronic features in the optical properties of the Holstein-t-J model
• Magnetic and lattice polaron in Holstein-t-J model
• Charge fluctuations and electron-phonon interaction in the finite-$U$ Hubbard model
• Electron-phonon coupling in the self-consistent Born approximation of the t-J model
• Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator and polaronic semiconductor
• Low-energy renormalization of the electron dispersion of high-T${}_c$ superconductors
• Renormalization Group Study of the Electron-phonon Interaction in the High Tc Cuprates
• Neutron Scattering and the B_{1g} Phonon in the Cuprates
• Doping dependence of density response and bond-stretching phonons in cuprates
• Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory
• Theory of isotope effect in photoemission spectra of high-T_c superconducting cuprates
• Sum rules and vertex corrections for electron-phonon interactions
• Polaron Formation in the Three-Band Peierls-Hubbard Model for Cuprate Superconductors

Cited by in corpus (63)

• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Correlation-enhanced electron-phonon coupling: Applications of GW and screened hybrid functional to bismuthates, chloronitrides, and other high Tc superconductors
• Electronic Correlation and Transport Properties of Nuclear Fuel Materials
• Long-range transfer of electron-phonon coupling in oxide superlattices
• Dynamical screening effects in correlated materials: plasmon satellites and spectral weight transfers from a Green's function ansatz to extended dynamical mean field theory
• Quantum Dynamics of the Hubbard-Holstein Model in Equilibrium and Non-Equilibrium: Application to Pump-Probe Phenomena
• The effect of electron correlation on the electronic structure and spin-lattice coupling of the high-T${}_c$ cuprates: quantum Monte Carlo calculations
• Ab initio downfolding for electron-phonon coupled systems: constrained density-functional perturbation theory (cDFPT)
• Pseudospin-lattice coupling in the spin-orbit Mott insulator Sr2IrO4
• Strong Coupling Limit of the Holstein-Hubbard Model
• Bosonic Spectral Function and The Electron-Phonon Interaction in HTSC Cuprates
• Highly anisotropic anomaly in the dispersion of the copper-oxygen bond-bending phonon in superconducting YBa2Cu3O7 from inelastic neutron scattering
• Optical conductivity of the Holstein polaron
• Preformed Excitons, Orbital Selectivity, and Charge-Density-Wave Order in 1T-TiSe_2
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Electron-phonon interaction in Strongly Correlated Systems
• Cooperation between electron-phonon coupling and electronic interaction in bilayer nickelates La${}_3$Ni${}_2$O${}_7$
• Gapped collective charge excitations and interlayer hopping in cuprate superconductors
• Polaronic metal in lightly doped high-Tc cuprates
• Ab initio phonon self-energies and fluctuation diagnostics of phonon anomalies: Lattice instabilities from Dirac pseudospin physics in transition metal dichalcogenides
• Localization-delocalization transition of a polaron near an impurity
• Polaronic signatures and spectral properties of graphene antidot lattices
• Electron-Phonon-Driven Three-Dimensional Metallicity in an Insulating Cuprate
• Holstein polaron in the presence of disorder
• Going beyond the linear approximation in describing electron- phonon coupling: relevance for the Holstein model
• Nature of ground states in one-dimensional electron-phonon Hubbard models at half-filling
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• Phase diagram of the Holstein polaron in one dimension
• Optical conductivity of doped Mott insulator: the interplay between correlation and electron-phonon interaction
• Properties of the phonon-induced pairing interaction in YBa${}_2$Cu${}_3$O${}_7$ within the local density approximation
• Single polaron properties for double-well electron-phonon coupling
• Discontinuous polaron transition in a two-band model
• Constrained-Path Auxiliary-Field Quantum Monte Carlo for Coupled Electrons and Phonons
• Direct Determination of Electron-Phonon Coupling Matrix Element in a Correlated System
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• A translation invariant bipolaron in the Holstein model and superconductivity
• Phonon origin of low energy and high energy kinks in high temperature cuprate superconductors
• Strongly bound yet light bipolarons for double-well electron-phonon coupling
• Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
• Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Enhancement of phonon effects in photoexcited states of one-dimensional Mott insulators
• Translational-invariant bipolarons and superconductivity
• Strong interplay between electron-phonon interaction and disorder in low doped systems
• Electron-phonon coupling in undoped cuprate $YB{a}_{2}C{u}_3{O}_6$ estimated from Raman and optical conductivity spectra
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• An effect of the uniaxial strain on the temperature of Bose-Einstein condensation of the intersite bipolarons
• Interplay between charge-lattice interaction and strong electron correlations in cuprates: phonon anomaly and spectral kinks
• Fermi blockade of the electron-phonon interaction: why strong coupling effects may not be seen in optimally doped high temperature superconductors
• Relaxation timescales and electron-phonon coupling in optically-pumped YBa${}_2$Cu${}_3$O${}_{6+x}$ revealed by time-resolved Raman scattering
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• Influence of correlations on transitive electron-phonon couplings in cuprate superconductors
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Gain of the kinetic energy of bipolarons in the t-J-Holstein model based on electron-phonon coupling
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• Effective enhancement of the electron-phonon coupling driven by nonperturbative electronic density fluctuations
• Polarons with arbitrary nonlinear electron-phonon interaction
• Phase separation and pairing fluctuations in oxide materials
• Electron-phonon coupling in correlated materials: insights from the Hubbard-Holstein model
• Dressing due to correlations strongly reduces the effect of electron-phonon coupling