Flat Club - Antoine Georges

31.03.2023 12:00 – 14:00

What Do We Know Today about the 2D Hubbard model?
Antoine Georges, UNIGE, Ecole Polytechnique, Collège de France

Simplified as it is, the Hubbard model embodies much of the complexity of the `strong correlation problem’ and has established itself as a paradigmatic model in the field. In this talk, I will argue that several key aspects of its physics in two dimensions can now be established beyond doubt, thanks to the development of controlled and accurate computational methods. These methods implement different and complementary points of view on the quantum many-body problem. Along with pushing forward each method, the community has recently embarked into a major effort to combine and critically compare these approaches, and in several instances a consistent picture of the physics has emerged as a result. I will review in this perspective our current understanding of the emergence of a pseudogap in both the weak and strong coupling regimes. I will present recent progress in understanding how the pseudogap phase evolves into an ordered phase at low temperature. The next nearest neighbor hopping t’ plays a key role, with low t’/t favoring stripe order and larger t’/t favoring d-wave superconductivity.

Lieu

Bâtiment: Ecole de Physique

Auditoire Stueckelberg
Pizza: 12:00, Start discussion: 12:30

entrée libre