Physical Review Letters ( IF 8.385 ) Pub Date :
Y. Y. Peng; A. A. Husain; M. Mitrano; S. Sun; T. A. Johnson; A. V. Zakrzewski; G. J. MacDougall; A. Barbour; I. Jarrige; V. Bisogni; P. Abbamonte

Charge density wave (CDW) correlations are prevalent in all copper-oxide superconductors. While CDWs in conventional metals are driven by coupling between lattice vibrations and electrons, the role of the electron-phonon coupling (EPC) in cuprate CDWs is strongly debated. Using Cu ${L}_{3}$ edge resonant inelastic x-ray scattering (RIXS), we study the CDW and Cu-O bond-stretching phonons in the stripe-ordered cuprate La${}_{1.8-x}$Eu${}_{0.2}$Sr${}_{x}$CuO${}_{4+\delta }$. We investigate the interplay between charge order and EPC as a function of doping and temperature, and find that the EPC is enhanced in a narrow momentum region around the CDW wave vector. By detuning the incident photon energy from the absorption resonance, we extract an EPC matrix element at the CDW wave vector of $M\simeq$ 0.36 eV, which decreases to $M\simeq$ 0.30 eV at high temperature in the absence of the CDW. Our results suggest a feedback mechanism in which the CDW enhances the EPC which, in turn, further stabilizes the CDW.

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