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We investigate spin-(1/2) electrons with local Hubbard interaction and variable-range hopping amplitudes which decay like sinh (?)/sinh (?r). Assuming integrability, the asymptotic-Bethe-ansatz approach allows us to derive the generalized Lieb-Wu integral equations from the two-particle phase shift. Due to the nesting property there is a metal-to-insulator transition at Uc (??>?0)?=?0+. The charge gap in the singular limit ??=?0 opens when the interaction strength equals the bandwidth, Uc (??=?0)?=?W?>?0.

Asymptotic Bethe-Ansatz Results for a Hubbard Chain with 1/sinh-Hopping