Among many approaches to solve the Many-Body Schrödinger equation, Density Functional Theory accounts for most of success in calculating ground state properties of crystals. However, excited properties are not well reproduced and the Green's function formalism have been shown to be a good candidate in the simulation of collective excitations in condensed matter. Namely, the so-called GW approximation and the Bethe-Salpeter equation are among the state-of-the art methods in the theory and simulation of quantum matter. In this seminar, we will have a superficial review on these methods to get some insight on the meaning of the solution of the many-body Schrödinger equation in condensed matter, and how this leads to new technologies based on two specific quasiparticles: excitons and magnons.
Pablo Martínez Reviriego