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15 Electron-Phonon Coupling - cond-mat.de

15 Electron-Phonon CouplingRolf HeidInstitute for Solid State PhysicsKarlsruhe Institute of TechnologyContents1 Introduction22 Electron-Phonon vertex .. ohlich Hamiltonian ..33 Normal-state functions and perturbation .. self-energy .. s theorem .. self-energy and linewidth ..114 Phonon-mediated electron-electron interaction .. formalism .. theory .. gap equations ..185 Density functional theory approach226 Summary25A Phonon quantization26E. Pavarini, E. Koch, R. Scalettar, and R. Martin (eds.)The Physics of Correlated Insulators, Metals, and SuperconductorsModeling and Simulation Vol. 7 Forschungszentrum J ulich, 2017, ISBN 978-3-95806-224-5 Heid1 IntroductionThe Electron-Phonon interaction is, besides the Coulomb interaction, one of the fundamentalinteractions of quasiparticles in solids.

vibrations. On contrast, the bare vibrations of the ion lattice would be a bad starting point, because they are strongly altered by the screening of the electrons. This screening must be built into the description of the harmonic lattice vibrations which defines the noninteracting phonons.

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