Competing magnetic orders in a bilayer Hubbard model with ultracold atoms.

Fermionic atoms in optical lattices have served as a useful model system in which to study and emulate the physics of strongly correlated matter. Driven by the advances of high-resolution microscopy, the current research focus is on two-dimensional systems, in which several quantum phases-such as antiferromagnetic Mott insulators for repulsive interactions and charge-density waves for attractive interactions-have been observed. However, the lattice structure of real materials, such as bilayer graphene, is composed of coupled layers and is therefore not strictly two-dimensional, which must be taken into account in simulations.