Exact Results in Flat Band Hubbard Models

09/20/2023 10:30 am - 11:30 am
CMSA Room G10
Address: CMSA, 20 Garden Street, Cambridge, MA 02138 USA

Topological Quantum Matter Seminar

Speaker: Jonah Herzog-Arbeitman, Princeton University

Title: Exact Results in Flat Band Hubbard Models

Abstract: Flat bands, like those in the kagome lattice or twisted bilayer graphene, are a natural setting for studying strongly coupled physics since the interaction strength is the only energy scale in the problem. They can exhibit unconventional behavior in the multi-orbital case: the mean-field theory of flat band attractive Hubbard models shows the possibility of superconductivity even though the Fermi velocity of the bands is strictly zero. However, it is not necessary to resort to this approximation. We demonstrate that the groundstates and low-energy excitations of a large class of attractive Hubbard models are exactly solvable, offering a rare, microscopic view of their physics. The solution reveals the importance of quantum geometry in escaping (some of) BCS phenomenology within a tractable and nontrivial strong coupling theory.