Interplay of Electron-Phonon Interaction and Electron Correlation in High Temperature Superconductivity

Abstract

We study the electron-phonon interaction in the strongly correlated superconducting cuprates. Two types of the electron-phonon interactions are introduced in the $t-J$ model; the diagonal and off-diagonal interactions which modify the formation energy of the Zhang-Rice singlet and its transfer integral, respectively. The characteristic phonon-momentum $(\vec{q})$ and electron-momentum $(\vec{k})$ dependence resulted from the off-diagonal coupling can explain a variety of experiments. The vertex correction for the electron-phonon interaction is formulated in the SU(2) slave-boson theory by taking into account the collective modes in the superconducting ground states. It is shown that the vertex correction enhances the attractive potential for the d-wave paring mediated by phonon with $\vec{q}=(\pi (1-\delta ),0)$ around $\delta \cong 0.3$ which corresponds to the half-breathing mode of the oxygen motion.

14 pages, 13 figures

References in corpus (7)

• Strongly Correlated Superconductivity
• Electron-phonon interaction in the t-J model
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• ARPES and optical renormalizations: phonons or spin fluctuations
• Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations
• Vibronic mechanism of high-Tc superconductivity
• New Collective Modes in the Superconducting Ground States in the Gauge Theory Description of the Cuprates

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