Magnetic phase diagram of the three-dimensional doped Hubbard model

Abstract

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 $(q,\pi ,\pi )$, $(q,q,\pi )$ 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.

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• Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Variational Diagrammatic Monte-Carlo Built on Dynamical Mean-Field Theory
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model
• Magnetic fluctuations near the Van Hove singularity in the kagome-lattice Hubbard model at finite doping