Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach

Abstract

The variational cluster approximation is used to study the frustrated Hubbard model at half filling defined on the two-dimensional square lattice with anisotropic next-nearest-neighbor hopping parameters. We calculate the ground-state phase diagrams of the model in a wide parameter space for a variety of lattice geometries, including square, crossed-square, and triangular lattices. We examine the Mott metal-insulator transition and show that, in the Mott insulating phase, magnetic phases with Néel, collinear, and spiral orders appear in relevant parameter regions, and in an intermediate region between these phases, a nonmagnetic insulating phase caused by the quantum fluctuations in the geometrically frustrated spin degrees of freedom emerges.

8 pages, 8 figures

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• Light-induced switching of magnetic order in the anisotropic triangular-lattice Hubbard model
• Uncovering double-stripe and plaquette antiferromagnetic states in the one-band Hubbard model on a frustrated square lattice
• An improved particle swarm optimization algorithm and its application to search for new magnetic ground states in the Hubbard model