Neutron Scattering and the B_{1g} Phonon in the Cuprates

Physics – Condensed Matter – Superconductivity

Scientific paper

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new figures and discussion

Scientific paper

10.1103/PhysRevB.59.14618

The momentum dependent lineshape of the out-of-phase oxygen vibration as measured in recent neutron scattering measurements is investigated. Starting from a microscopic coupling of the phonon vibration to a local crystal field, the phonon lineshift and broadening is calculated as a function of transfered momentum in the superconducting state of YBa$_{2}$Cu$_{3}$O$_{7}$. It is shown that the anisotropy of the density of states, superconducting energy gap, and the electron-phonon coupling are all crucial in order to explain these experiments.

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