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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.

Modeling and Simulation Vol. 7 Forschungszentrum J¨ulich, 2017, ISBN 978-3-95806-224-5 ... where 1 is the inverse dielectric matrix [4], which is a measure of the screening. Note that in ... band 0under the simultaneous absorption (emission) of a phonon with momentum q ( q) and branch index j gq j k+q 0;k = X s Aq s

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Transcription of 15 Electron-Phonon Coupling - cond-mat.de