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

Citation
Pa. Bares et F. Gebhard, ASYMPTOTIC BETHE-ANSATZ RESULTS FOR HUBBARD CHAIN WITH 1 SINH-HOPPING/, Europhysics letters, 29(7), 1995, pp. 573-578
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
02955075
Volume
29
Issue
7
Year of publication
1995
Pages
573 - 578
Database
ISI
SICI code
0295-5075(1995)29:7<573:ABRFHC>2.0.ZU;2-J
Abstract
We investigate spin-(1/2) electrons with local Hubbard interaction and variable-range hopping amplitudes which decay like sinh(kappa)/sinh(k appa r). Assuming integrability, the asymptotic-Bethe-ansatz approach allows us to derive the generalized Lieb-Wu integral equations from th e two-particle phase shift. Due to the nesting property there is a met al-to-insulator transition at U-c (kappa > 0) = 0(+). The charge gap i n the singular limit kappa = 0 opens when the interaction strength equ als the bandwidth, U-c (kappa = 0) = W > 0.