Stability of ferromagnetism in the Hubbard model on the kagomé lattice

Details Stability of ferromagnetism in the Hubbard model on the kagomé lattice Stability of ferromagnetism in the Hubbard model on the kagomé lattice

2002-09-18

arxiv.org/abs/cond-mat/0209423v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.90.067204

The Hubbard model on the kagom\'e lattice has highly degenerate ground states (the flat lowest band) in the corresponding single-electron problem and exhibits the so-called flat-band ferromagnetism in the many-electron ground states as was found by Mielke. Here we study the model obtained by adding extra hopping terms to the above model. The lowest single-electron band becomes dispersive, and there is no band gap between the lowest band and the other band. We prove that, at half-filling of the lowest band, the ground states of this perturbed model remain saturated ferromagnetic if the lowest band is nearly flat.

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