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

Europhysics Letters (EPL)Mar 1, 199510 citations

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

Florian Gebhard, P.-A. Bares

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

arXiv:cond-mat/9406084Jun 21, 19940 citations

Bethe ansatz study of 1+1 dimensional Hubbard model

Shi‐Jie Xiong

The European Physical Journal BFeb 1, 19927 citations

We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like~

\sinh(κ)/\sinh(κr)

. 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(κ>0)=0^+

. The charge gap in the singular limit

κ=0

opens when the interaction strength equals the bandwidth,

U_c(κ=0)=W >0