P. Phillips et N. Sandler, ENHANCED LOCAL MOMENT FORMATION IN A CHIRAL LUTTINGER LIQUID, Physical review. B, Condensed matter, 53(2), 1996, pp. 468-471
We derive here a stability condition for a local moment in the presenc
e of an interacting sea of conduction electrons. The conduction electr
ons are modeled as a Luttinger liquid in which chirality and spin are
coupled. We show that an Anderson U defect in such an interacting syst
em can be transformed onto a nearly Fermi-liquid problem. We find that
correlations among the conduction electrons stabilize the local momen
t phase. A Schrieffer-Wolff transformation is then performed which res
ults in an anisotropic exchange interaction indicative of the Kondo ef
fect in a Luttinger liquid. The ground-state properties of this model
are then equivalent to those of the Kondo model in a Luttinger liquid.