Transitions de phases à T = 0 dans les systèmes quantiques par le groupe de renormalisation dans l'espace réel

Abstract

The relevance of phase transition studies to the ground state of quantum systems is explained, and a real-space renormalization group method well adapted to such studies is described. The various improvements and extensions of the method are reviewed, with particular emphasis, in terms of applications, on the study of frustration in quantum systems, the study of interacting fermion systems (Hubbard model, Kondo lattice model), and the study of disordered systems.[Journal translation]