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arXiv:cond-mat/0312486 · Czechoslovak Journal of Physics

Ferromagnetism in the Hubbard Model with Long-range and Correlated Hopping

Pavol Farkašovský

Published Dec 1, 2004• 6 citations
arXivHTMLPDF
DOI
10.1007/s10582-004-0110-7

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The phase diagram of the Hubbard model in an external magnetic field is examined by extrapolation of small-cluster exact-diagonalization calculations. Using a general expression for the hopping matrix elements (tij ~ q|i-j|) the influence of long-range hopping (band asymmetry) on ferromagnetism in this model is studied. It is found that the long-range hopping (nonzero q) stabilizes ferromagnetism in an external magnetic field for n > 1. In the opposite limit n≤1 the fully polarized ferromagnetic state is generally suppressed with increasing q. The critical value of magnetic field h below which the ferromagnetic state becomes unstable is calculated numerically.