P. Schlottmann, COQBLIN-SCHRIEFFER IMPURITY IN A ONE-DIMENSIONAL CORRELATED ELECTRON LATTICE, Journal of physics. Condensed matter, 10(11), 1998, pp. 2525-2537
We consider electrons of effective spin S on a chain with nearest-neig
hbour hopping t constrained by the excluded multiple occupancy of the
lattice sites, and spin exchange J between neighbouring sites. The spi
n space of the model is SU(2S + 1) invariant, and at the supersymmetri
c point, J = t, the charge and the spin play identical roles forming a
n integrable SU(2S + 2) superalgebra. Without compromising the integra
bility we introduce a Coqblin-Schrieffer-like impurity of spin S, whic
h interacts with the correlated conduction states of the host. The dis
crete Bethe ansatz equations diagonalizing the host with impurity are
derived and the ground-state properties of the impurity are studied as
a function of the Kondo exchange coupling. An undercompensated impuri
ty of spin S embedded into a chain of interacting spin- 1/2 electrons
is also discussed.