Low density ferromagnetism in the Hubbard model

Details Low density ferromagnetism in the Hubbard model Low density ferromagnetism in the Hubbard model

1996-03-26

arxiv.org/abs/cond-mat/9603163v1

Physics

Condensed Matter

4 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevB.54.9250

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 M\"uller--Hartmann. For three dimensions and non-pathological band structures, it is proven that such a scenario does not work.

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