Magnetic Phase Diagram of the Three-Dimensional Doped Hubbard Model

We establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of temperatures, dopings, and interaction strengths, considering both commensurate and incommensurate magnetic orders. We use the dynamical mean-field theory together with an efficient method to compute the free energy which enable the determination of the correct ordering vectors. Besides an antiferromagnetic state close to half filling, we identify a number of different magnetic spiral phases with ordering vectors (q,π,π), (q,q,π), and (q,q,q), as well as a region with close competition between them, hinting at spatial phase separation or at the onset of a stripe phase. Additionally, we extensively study several thermodynamic properties with direct relevance to cold-atom experiments: the entropy, energy, and double occupancy.