Phonon dispersion and electron-phonon interaction for YBa_2Cu_3O_7 from first-principles calculations
K.-P. Bohnen (1), R. Heid (1), M. Krauss (2) ((1) Forschungszentrum, Karlsruhe, Institut fuer Festkoerperphysik, (2) BASF IT Services GmbH)

TL;DR
This study uses first-principles calculations to analyze phonon behavior and electron-phonon interactions in YBa_2Cu_3O_7, finding weak coupling and suggesting phonons are not key to its high-temperature superconductivity.
Contribution
It provides detailed phonon dispersion and electron-phonon coupling calculations for YBa_2Cu_3O_7, challenging previous assumptions about their role in high-T_c superconductivity.
Findings
Phonon dispersion matches experimental data.
Electron-phonon coupling lambda=0.27, lower than earlier estimates.
Conventional electron-phonon interaction likely not responsible for high-T_c in this material.
Abstract
We present a first principles investigation of the lattice dynamics and electron-phonon coupling of the high-T_c superconductor YBa_2Cu_3O_7 within the framework of density functional perturbation theory using a mixed-basis pseudopotential method. The calculated phonon dispersion curves are in excellent agreement with Raman, infrared and neutron data. Calculation of the Eliashberg function alpha^2F leads to a small electron-phonon coupling lambda=0.27 in disagreement with earlier approximate treatments. Our calculations strongly support the view that conventional electron-phonon coupling is not an important contribution to superconductivity in high-T_c materials.
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