R. Eder et Y. Ohta, ONE-DIMENSIONAL T-J MODEL WITH NEXT-NEAREST-NEIGHBOR HOPPING - BREAKDOWN OF THE LUTTINGER LIQUID, Physical review. B, Condensed matter, 56(22), 1997, pp. 14247-14250
We investigate the effect of a next-nearest-neighbor hopping integral
t' in the one-dimensional t-J model, using Lanczos diagonalization of
finite chains. Even moderate values of t' have a dramatic effect on th
e dynamical correlation functions and Fermi-surface topology. The high
-energy holon bands become diffuse and overdamped, and the band struct
ure near the Fermi energy is dominated by t'. With increasing hole con
centration the system undergoes a phase transition that changes the vo
lume of the Fermi surface, but neither phase has a k(F) compatible wit
h a Luttinger liquid.