P. Schlottmann et Aa. Zvyagin, EXACT SOLUTION FOR A DEGENERATE ANDERSON IMPURITY IN THE U-]INFINITY LIMIT EMBEDDED INTO A CORRELATED HOST, The European Physical Journal. B: Condensed Matter Physics, 5(3), 1998, pp. 325-335
We consider the one-dimensional t-J model, which consists of electrons
with spin S on a lattice with nearest neighbor hopping t constrained
by the excluded multiple occupancy of the lattice sites and spin-excha
nge J between neighboring sites. The model is integrable at the supers
ymmetric point, J = t. Without spoiling the integrability we introduce
an Anderson-like impurity of spin S (degenerate Anderson model in the
U --> infinity limit), which interacts with the correlated conduction
states of the host. The lattice model is defined by the scattering ma
trices via the Quantum Inverse Scattering Method. We discuss the gener
al form of the interaction Hamiltonian between the impurity and the it
inerant electrons on the lattice and explicitly construct it in the co
ntinuum limit. The discrete Bethe ansatz equations diagonalizing the h
ost with impurity are derived, and the thermodynamic Bethe ansatz equa
tions are obtained using the string hypothesis for arbitrary band fill
ing as a function of temperature and external magnetic field. The prop
erties of the impurity depend on one coupling parameter related to the
Kondo exchange coupling. The impurity can localize up to one itineran
t electron and has in general mixed valent properties. Groundstate pro
perties of the impurity, such as the energy, valence, magnetic suscept
ibility and the specific heat gamma coefficient, are discussed. In the
integer valent limit the model reduces to a Coqblin-Schrieffer impuri
ty.