Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore phonons and electron-phonon coupling using DFPT+U in this 53-minute lecture from the Advanced Quantum ESPRESSO school. Delve into Hubbard and Koopmans functionals from linear response, gaining insights into advanced computational materials science techniques. Learn how these methods can be applied to study the vibrational properties of materials and their interactions with electrons. Enhance your understanding of density functional perturbation theory (DFPT) with Hubbard corrections and its applications in quantum materials research. Part of the comprehensive Quantum ESPRESSO school series, this lecture provides valuable knowledge for researchers and students in condensed matter physics and materials science.