Fermi-Hubbard model

The Fermi-Hubbard model is a conceptually very simple model: fermions with spin up or spin down hop on a lattice with a hopping amplitude t, and interact with an interaction energy U when they end up on the same lattice site. Despite its deceiving simplicity, this model is extremely hard to study.

Through a combination of analytical theory, numerical methods, and close collaboration with cold atom experiments, we have gained a deeper understanding of a single dopant in a quantum antiferromagnet.