Numerical Study of the Doped 1/5-Depleted Square Lattice Hubbard Model*

We study magnetic properties of the doped Fermi-Hubbard model on the 1/5-depleted square lattice using exact diagonalization of small clusters and the density matrix renormalization group. The model at half filling has been shown to exhibit multiple phase transitions as the ratio of hopping amplitudes on the two distinct bonds of the lattice changes. Here, we focus on the model away from half filling and map out its rich magnetic phase diagram as the density, interaction strength and hopping ratio change. We discuss the potential for the simulation of the model using programmable tweezer array of fermions.