Magnetic properties of the Hubbard model on three-dimensional lattices: fluctuation-exchange and two-particle self-consistent studies

Abstract

The relation between three-dimensional lattice structure and magnetism in correlated electron systems is explored for face centered cubic (FCC), body centered cubic (BCC), and simple cubic (SC) lattices. In particular, we question which lattice structure has the strongest tendency toward the ferromagnetism or antiferromagnetism. We employ the Hubbard model to calculate the spin susceptibility and the single-particle spectrum with the fluctuation-exchange (FLEX) and the two-particle self-consistent (TPSC) approximations in the weak coupling regime. We have shown that (i) ferromagnetic spin fluctuations become dominant when the Fermi level lies around a sharp peak (divergence) in the density of states (D(E)) near the bottom of the band, which occurs for FCC with/without next nearest neighbor hoppings (t') or BCC with an appropriate value of t'. Among the cases studied, the ferromagnetic fluctuation is found to be the strongest for FCC with a finite t'. (ii) When the peak in D(E) resides around the band center as in bipartite SC or BCC, antiferromagnetic fluctuations become dominant when the band is close to the half-filling, with the fluctuation being much stronger in BCC.

16 figures, to be published in J. Phys. Soc. Jpn

References in corpus (1)

• Spin-fluctuation exchange study of superconductivity in two- and three-dimensional single-band Hubbard models

Cited by in corpus (12)

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• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
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• Itinerant and local-moment magnetism in strongly correlated electron systems
• Spin waves in a band ferromagnet: spin-rotationally symmetric study with self-energy and vertex corrections
• Stabilization of d-Band Ferromagnetism by Hybridization with Uncorrelated Bands
• Two-Particle-Self-Consistent Approach for the Hubbard Model
• Superconductivity arising from layer-differentiation in multi-layer cuprates
• Influence of Spin Wave Excitations on the Ferromagnetic Phase Diagram in the Hubbard-Model
• Self-doping effect arising from electron correlations in multi-layer cuprates