Electron-phonon coupling in the self-consistent Born approximation of the t-J model

Abstract

We study an undoped t-J model with electron-phonon interaction using the self-consistent Born approximation (SCBA). By neglecting vertex corrections, the SCBA solves a boson-holon model, where a holon couples to phonons and magnons. Comparison with exact diagonalization results for the t-J model suggests that the SCBA describes the electron-phonon interaction fairly accurately over a substantial range of J/t values. Exact diagonalization of the boson-holon model shows that the deviations are mainly due to the neglect of vertex corrections for small J/t and due to the replacement of the t-J model by the boson-holon model for large J/t. For typical values of J/t, the electron-phonon part Sigma_ep of the electron self-energy has comparable contributions from the second order diagram in the electron-phonon interaction and a phonon induced change of magnon diagrams. A very simple approximation to Sigma_ep gives a rather accurate effective mass. Using this approximation, we study the factors influencing the electron-phonon interaction. Typically, we find that the magnons nominally have a stronger coupling to the holon than the phonons. The phonons, nevertheless, drive the formation of small polarons (self-localization) due to important differences between the character of the phonon and magnon couplings.

7 pages, RevTeX, 6 eps figures

References in corpus (11)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• An unusual isotope effect in a high-transition-temperature superconductor
• Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
• Mobile small polaron
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• Dynamical mean-field theory of the small polaron
• Polaronic behavior of undoped high-Tc cuprates
• Electron-phonon interaction in the t-J model
• Spectral properties of the 2D Holstein polaron
• Electron-phonon interaction in the three-band model
• Spectral properties of the t-J model in the presence of hole-phonon interaction

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• Charge dynamics of doped holes in high Tc cuprates - A clue from optical conductivity
• Temperature dependence of the angle resolved photoemission spectra in the undoped cuprates: self-consistent approach to the t-J-Holstein model
• Polaronic metal in lightly doped high-Tc cuprates
• Polaronic signatures and spectral properties of graphene antidot lattices
• Polaronic features in the optical properties of the Holstein-t-J model
• Phonons and the coherence scale of models of heavy fermions
• Emergence of Quasiparticles in a Doped Mott Insulator
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Sum rules and vertex corrections for electron-phonon interactions
• Finite temperature spectral function of a hole in a quantum antiferromagnet and role of phonons
• Formation and local symmetry of Holstein polaron in t-J model
• Optical properties of the Holstein-t-J model from dynamical mean-field theory