H. Asakawa, THE LOCAL TOMONAGA-LUTTINGER LIQUID IN THE ONE-DIMENSIONAL HUBBARD-MODEL WITH A BOUNDARY FIELD, Journal of physics. Condensed matter, 9(42), 1997, pp. 8973-8984
The properties of the one-dimensional Hubbard model with a boundary he
ld are studied. In the strong-coupling limit, the compressibility and
the susceptibility induced by the boundary field are evaluated using t
he Bethe ansatz equation. These quantities are governed by the density
of states at the Fermi level. The results obtained from our calculati
ons seem to suggest that the local state induced by the boundary field
realizes the local Tomonaga-Luttinger liquid.