Electronic states in a Hubbard chain under an overall confining potential, where electron tunneling through a Hubbard gap is seen, are investigated by the Lanczos method. The numerical results suggest that off-resonance between the ends of the chain reduces tunneling amplitude through a Hubbard gap in the center of the chain, when the confining potential is asymmetric. This asymmetry can induce electron tunneling through a Hubbard gap even in a chain with an odd number of electrons.

Journal of the Physical Society of JapanFeb 15, 19977 citations

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

Florian Gebhard, P.-A. Bares

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

arXiv:cond-mat/9905275 · Physica E Low-dimensional Systems and Nanostructures

Tunneling singularities in the open Hubbard chain

Gerald Bedürftig, Holger Frahm

Published Oct 1, 1999• 8 citations

arXiv HTML PDF

DOI: 10.1016/s1386-9477(99)00021-1

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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

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