Electron-phonon interaction in the t-J model

Abstract

We derive a t-J model with electron-phonon coupling from the three-band model, considering modulation of both hopping and Coulomb integrals by phonons. While the modulation of the hopping integrals dominates, the modulation of the Coulomb integrals cannot be neglected. The model explains the experimentally observed anomalous softening of the half-breathing mode upon doping and a weaker softening of the breathing mode. It is shown that other phonons are not strongly influenced, and, in particular, the coupling to a buckling mode is not strong in this model.

4 pages, RevTeX, 3 eps figures; final version with minor corrections

References in corpus (10)

• Correlated Electrons in High Temperature Superconductors
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Polarons and bipolarons in strongly interacting electron-phonon systems
• Phonon dispersion and electron-phonon interaction for YBa_2Cu_3O_7 from first-principles calculations
• d_{x^2-y^2} Symmetry and the Pairing Mechanism
• A Possible Phononic Mechanism for $d_{x^2-y^2}$-Superconductivity in the Presence of Short-Range AF Correlations
• Bond-Stretching-Phonon Anomalies in Stripe-Ordered La(1.69)Sr(0.31)NiO(4)
• Out-of-plane instability and electron-phonon contribution to s- and d-wave pairing in high-temperature superconductors; LDA linear-response calculation for doped CaCuO2 and a generic tight-binding model
• Theory of the density fluctuation spectrum of strongly correlated electrons

Cited by in corpus (66)

• Electron-phonon interactions from first principles
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• The effect of collective spin-1 excitations on electronic spectra in high-Tc superconductors
• 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
• Polarons from first principles, without supercells
• The Ioffe-Regel criterion and diffusion of vibrations in random lattices
• Polaronic behavior of undoped high-Tc cuprates
• 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
• Electron-phonon interaction and antiferromagnetic correlations
• Evidence for forward scattering and coupling to acoustic phonon modes in high-T${}_c$ cuprate superconductors
• Investigating polaron transitions with polar molecules
• Bulk Electronic structure of Na${}_{0.35}$CoO${}_2$.1.3H${}_2$O
• Bosonic Spectral Function and The Electron-Phonon Interaction in HTSC Cuprates
• Manifestation of the magnetic resonance mode in the nodal quasiparticle lifetime in superconducting cuprates
• 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
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Electron-phonon interaction in the three-band model
• Specific heat of Ca${}_{0.32}$Na${}_{0.68}$Fe${}_2$As${}_2$ single crystals: unconventional s${}_{\pm }$ multi-band superconductivity with intermediate repulsive interband coupling and sizable attractive intraband couplings
• Spectral Properties of Holstein and Breathing Polarons
• Quantum-entanglement aspects of polaron systems
• Single polaron properties of the breathing-mode Hamiltonian
• Polaronic metal in lightly doped high-Tc cuprates
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
• Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators
• Mechanism of formation of half-doped stripes in underdoped cuprates
• Polaronic features in the optical properties of the Holstein-t-J model
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• Phonons, electronic charge response and electron-phonon interaction in the high-temperature superconductors
• Electron-phonon coupling in the self-consistent Born approximation of the t-J model
• Electron-phonon anomaly related to charge stripes: static stripe phase versus optimally-doped superconducting La1.85Sr0.15CuO4
• Non-local composite spin-lattice polarons in high temperature superconductors
• Discontinuous polaron transition in a two-band model
• Single polaron properties for double-well electron-phonon coupling
• A reevaluation of the coupling to a bosonic mode of the charge carriers in (Bi,Pb)${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ at the antinodal point
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3
• Chemical potential jump between hole- and electron-doped sides of ambipolar high-Tc cuprate
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Polaron transformations in the realistic model of the strongly correlated electron system
• 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
• Sum rules and vertex corrections for electron-phonon interactions
• Nonlocal interactions in doped cuprates: correlated motion of Zhang-Rice polarons
• Charge susceptibility in the t-J model
• Electron-phonon coupling in undoped cuprate $YB{a}_{2}C{u}_3{O}_6$ estimated from Raman and optical conductivity spectra
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• 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
• Kink structure in the electronic dispersion of high-Tc superconductors from the electron-phonon interaction
• Possible propagation of the Zhang-Rice singlet as a probable Cooper channel in the $Cu{O}_2$ planes
• Charge order and phonon renormalizations: Possible implications for cobaltates
• Inhomogeneous charge textures stabilized by electron-phonon interactions in the t-J model
• Coexistence of $s$- and $d$-wave gaps due to pair-hopping and exchange interactions
• Electron correlations and bond-length fluctuations in layered copper oxides: electron versus hole doping
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Effect of Adiabatic Phonons on Striped and Homogeneous Ground States
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Optical properties of the Holstein-t-J model from dynamical mean-field theory
• Electromagnetic response of cuprate superconductors with coexisting electronic nematicity