Explore electron-phonon physics in this 55-minute lecture by Feliciano Giustino from the University of Texas at Austin, presented at IPAM's Model Reduction in Quantum Mechanics Workshop. Delve into topics such as many-body Schrödinger equations, spectral density functions, and electron-phonon matrix elements. Examine real-world examples including the non-adiabatic Kohn anomaly in diamond and electron polarons in LiF. Gain insights into the challenges of Brillouin Zone sampling and phonon-driven electron localization. Discover methods and software used in this field, enhancing your understanding of computational approaches in quantum mechanics and materials science.
Methods and Software for Electron-Phonon Physics - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Oden Institute for Computational Engineering and Sciences
Some manifestations of electron-phonon interactions
Many-body Schrödinger equation for electrons and nuclei
Spectral density function
EOM for the Green's function
Example: Non-adiabatic Kohnanomaly in diamond
The electron-phonon matric element
The challenge of Brillouin Zone sampling
Example: EP matrix elements of various semiconductors
Polarons in materials
Phonon-driven electron localization
Electron polaron in LiF: electron wavefunction
Summary
Taught by
Institute for Pure & Applied Mathematics (IPAM)
