The introduction of finite interactions to a band structure is often sufficient to render an exact solution intractable in the thermodynamic limit. Landau's Fermi liquid theory, however, shows that in cases where interactions are perturbative, the band structure continues to be an essential tool. An important result of Fermi liquid theory is Luttinger's theorem: the Fermi surface's volume is proportional to the particle number density. In this talk, we explore the what, where, why, and how of the phenomenon of Luttinger's theorem breaking, develop a general non-perturbative Luttinger's theorem, and apply it to the emblematic model of interactions in a lattice: the Fermi Hubbard model.
Note: This event will be held in-person
