Magnetic States, Correlation Effects and Metal-Insulator Transition in FCC Lattice

Abstract

The ground-state magnetic phase diagram (including collinear and spiral states) of the single-band Hubbard model for the face-centered cubic lattice and related metal-insulator transition (MIT) are investigated within the slave-boson approach by Kotliar and Ruckenstein. The correlation induced electronic spectrum narrowing and a comparison with a generalized Hartree-Fock approximation allow one to estimate the strength of correlation effects. This, as well as the MIT scenario, depends dramatically on the ratio of the next-nearest and nearest electron hopping integrals $t^{\prime }/t$. In contrast with metallic state, possessing strong band narrowing, insulator one is only weakly correlated. The magnetic (Slater) scenario of MIT is found to be superior over the Mott one. Unlike simple and body-centered cubic lattices, MIT is the first order transition for most $t^{\prime }/t$. The insulator state is type-II or type-III antiferromagnet, and the metallic state is spin-spiral, collinear antiferromagnet or paramagnet depending on $t^{\prime }/t$. The picture of magnetic ordering is compared with that in the standard localized-electron (Heisenberg) model.

10 pages, final version, Journal of Physics: Condensed Matter

References in corpus (5)

• Modeling the Unconventional Superconducting Properties of Expanded A${}_3$C${}_{60}$ Fullerides
• Spiral magnetism in the single-band Hubbard model: the Hartree-Fock and slave-boson approaches
• NMR study of the Mott transitions to superconductivity in the two Cs_3C_60 phases
• Monte Carlo study of first-order transition in Heisenberg fcc antiferromagnet
• XY checkerboard antiferromagnet in external field

Cited by in corpus (5)

• Itinerant magnetism of chromium under pressure: a DFT+DMFT study
• Magnetic excitations in frustrated fcc type-III antiferromagnet MnS${}_2$
• Incommensurate magnetic order in rare earth and transition metal compounds with local moments
• Metal-insulator transition and antiferromagnetism in the generalized Hubbard model: Treatment of correlation effects
• Magnetic Order and Mott Transition on the Checkerboard Lattice