Ground state properties of the Emery model in the underdoped regime

We perform extensive Auxiliary-Field Quantum Monte Carlo (AFQMC) calculations for the three-band Hubbard (Emery) model in the underdoped regime, in order to study the ground-state properties of Copper-Oxygen planes in the cuprates. Interfacing generalized Hartree-Fock calculations with cutting-edge AFQMC techniques in a self-consistent scheme, we are able to resolve small energy scales, which is crucial for determining the complex candidate orders in such a system. We explore the charge order, spin order, and localization properties as a function of charge-transfer energy.