Ferromagnetism in the Hubbard model with a generalized type of hopping

Details Ferromagnetism in the Hubbard model with a generalized type of hopping Ferromagnetism in the Hubbard model with a generalized type of hopping

2002-05-23

arxiv.org/abs/cond-mat/0205481v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 figures, LaTeX

Scientific paper

10.1103/PhysRevB.66.012404

The extrapolation of small-cluster exact-diagonalization calculations is used to examine ferromagnetism in the one-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with power decaying hopping amplitudes ($t_{ij}\sim q^{|i-j|}$) stabilizes the ferromagnetic state for a wide range of electron interactions $U$ and electron concentrations $n$. The critical value of the interaction strength $U_c(q)$ above which the ferromagnetic state becomes stable is calculated numerically and the ground-state phase diagram of the model (in the $U$-$q$ plane) is presented for physically the most interesting cases.

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