Transcription of Electron-phonon coupling: a tutorial - …
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Electron-phonon coupling : a tutorialW. H bner, C. D. Dong, and G. LefkidisUniversity of Kaiserslautern and Research Center OPTIMAS, Box 3049, 67653 Kaiserslautern, GermanyTargoviste, 29 August 2011 Outline1. The harmonic oscillator real space energy basis2. 1D lattice vibrations one atom per primitive cell two atoms per primitive cells3. electron phonon interactions localized electrons small polaron theory phonons in metals4. Superconductivity5. A numerical example: CO6. LiteratureOutline1. The harmonic oscillator real space energy basis2. 1D lattice vibrations one atom per primitive cell two atoms per primitive cells3. electron phonon interactions localized electrons small polaron theory phonons in metals4.
3) Electron-phonon interaction: piezoelectric interaction The electric field is proportional the the stress k ijk ij ij E MS Stress is the symmetric derivative of the displacement field
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