Ab-Initio Many-Body Methods and Simulations with the Yambo Code

This advanced course presents many-body perturbation theory and ab-initio approaches for computing electronic excitations and spectroscopy in solids. Topics include GW, the Bethe-Salpeter equation, exciton dynamics, and electron–phonon coupling, with applications using the Yambo code.

Syllabus

Opening Remarks
Description and goals of the school: From theoretical concepts to real computation of the excited
Introduction to Many Body Perturbation Theory
Many-bodyperturbation theory, from equations to spectroscopy
Probing the electronic structure of solids by photoemission spectroscopy (experimental lecture)
Beyond the independent particle scheme: The linear response theory
The Quasi Particle concept and the GW method
Frequency dependence in GW approximation
GW approximation in 2D materials
Derivation of the Bethe-Salpeter Equation and main physical concepts
The Bethe-Salpeter Equation: common approximations and practical implementations
Exciton dynamics from a many-body perspective
Phonon modes and el-ph coupling (DFPT)
Electron-Phonon coupling a Yambo overview