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In superconducting copper oxides some Cu-O bond-stretching phonons around70meV show anomalous giant softening and broadening of electronic origin andelectronic dispersions have large renormalization kinks near the same energy.These observations suggest that phonon broadening originates from quasiparticleexcitations across the Fermi surface and the electronic dispersion kinksoriginate from coupling to anomalous phonons. We measured the phonon anomaly inunderdoped (x=0.05) and overdoped (x=0.20,0.25) La$_{2-x}$Sr$_x$CuO$_4$ byinelastic neutron and x-ray scattering with high resolution. Combining theseand previously published data, we found that doping-dependence of the magnitudeof the giant phonon anomaly is very different from that of the ARPES kink, i.e.the two phenomena are not connected. We show that these results provideindirect evidence that the phonon anomaly originates from novel collectivecharge excitations as opposed to interactions with electron-hole pairs. Theiramplitude follows the superconducting dome so these charge modes may beimportant for superconductivity.

physical review. b, condensed matter and materials physics

Evidence for a charge collective mode associated with superconductivity  in copper oxides from neutron and x-ray scattering measurements of  La$_{2-x}$Sr$_x$CuO$_4$