Low density ferromagnetism in the Hubbard model

Abstract

A single-band Hubbard model with nearest and next-nearest neighbour hopping is studied for $d=1$, 2, 3, using both analytical and numerical techniques. In one dimension, saturated ferromagnetism is found above a critical value of $U$ for a band structure with two minima and for small and intermediate densities. This is an extension of a scenario recently proposed by Müller--Hartmann. For three dimensions and non-pathological band structures, it is proven that such a scenario does not work.

4 pages, 3 postscript figures

References in corpus (3)

• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
• Ferromagnetism in Hubbard Models
• Ferromagnetism in Hubbard Models: Low Density Route

Cited by in corpus (19)

• Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model
• Lattice dependence of saturated ferromagnetism in the Hubbard model
• Metallic ferromagnetism: Progress in our understanding of an old strong-coupling problem
• Ferromagnetism in the one-dimensional Hubbard model with orbital degeneracy: From low to high electron density
• DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Magnetic and Charge Correlations of the 2-dimensional $t-t^{\prime }-U$ Hubbard model
• Existence of Saturated Ferromagnetic and Spiral States in 1D Lieb-Ferrimagnetic Models away from Half-Filling
• Band ferromagnetism versus collective Kondo state in lattice fermion models
• Strong coupling phases of the $t-t^{\prime }$ Hubbard model
• Frustration induced Itinerant Ferromagnetism of Fermions in Optical Lattice
• The influence of long-range hopping on ferromagnetism in the Hubbard model
• Magnetism of one-dimensional Wigner lattices and its impact on charge order
• Variationnal study of ferromagnetism in the t1-t2 Hubbard chain
• Metallic ferromagnetism supported by a single band in a multi-band Hubbard model
• Field-induced ferromagnetism in one-dimensional tight-binding lattices
• Magnetism and infrared divergence in a Hubbard-phonon interacting system