ASYMPTOTIC BETHE-ANSATZ RESULTS FOR A HUBBARD CHAIN WITH 1 SINH-HOPPING/

Citation
Pa. Bares et F. Gebhard, ASYMPTOTIC BETHE-ANSATZ RESULTS FOR A HUBBARD CHAIN WITH 1 SINH-HOPPING/, Journal of low temperature physics, 99(3-4), 1995, pp. 565-570
Citations number
40
Categorie Soggetti
Physics, Applied
ISSN journal
00222291
Volume
99
Issue
3-4
Year of publication
1995
Pages
565 - 570
Database
ISI
SICI code
0022-2291(1995)99:3-4<565:ABRFAH>2.0.ZU;2-L
Abstract
We investigate spin-1/2 electrons with local Hubbard interaction and v ariable range hopping amplitudes which decay like sinh(kappa)/sinh(kap pa tau). Using Sutherland's Asymptotic Bethe Ansatz we derive the gene ralized Lieb-Wu integral equations from the two-particle phase shift. For half-filling we obtain a closed expression for the ground state en ergy density. Due to the nesting property there is a metal-to-insulato r transition at U-c(kappa > 0) = 0(+). In the singular limit kappa = 0 the charge gap opens when the interaction strength equals the bandwid th, U-c(kappa = 0) = W.