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

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

1994-06-21

arxiv.org/abs/cond-mat/9406084v3

Physics

Condensed Matter

9 pages, REVTeX; original manuscript rejected by PRL for non-scientific reasons -- this shortened version to to appear in Euro

Scientific paper

We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like~$\sinh(\kappa)/\sinh(\kappa r)$. 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 $U_c(\kappa>0)=0^+$. The charge gap in the singular limit $\kappa=0$ opens when the interaction strength equals the bandwidth, $U_c(\kappa=0)=W >0$.

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