Abstract
We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like sinh(κ)/sinh(κr). Using Sutherland's Asymptotic Bethe Ansatz we derive the generalized Lieb-Wu integral equations from the two-particle phase shift. For half-filling we obtain a closed expression for the ground state energy density. Due to the nesting property there is a metal-to-insulator transition at Uc(κ> > 0) = 0+.In the singular limit κ = 0the charge gap opens when the interaction strength equals the bandwidth, U c(κ = 0) =W.
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We would like to thank P. Nozières and A. Gogolin for stimulating discussions. F. G. thanks all his colleagues at the ILL Grenoble for their kind hospitality during a stay in 1993/94.