Aa. Zvyagin et P. Schlottmann, EXACT SOLUTION FOR AN EXCHANGE IMPURITY IN A ONE-DIMENSIONAL CORRELATED HOST, Journal of physics. Condensed matter, 9(17), 1997, pp. 3543-3557
The one-dimensional t-J model at the supersymmetric point, J = 2t, wit
h a magnetic impurity of arbitrary spin S is studied exactly using the
Bethe ansatz technique. The impurity interacts by spin exchange with
the electrons on neighbouring sites of a lattice without destroying th
e integrability. The discrete Bethe ansatz equations diagonalizing the
model, and the thermodynamic equations are derived. The impurity free
energy is obtained for arbitrary band tilling as a function of temper
ature and external magnetic field. The impurity can localize up to one
itinerant hole, and has in general mixed-valent properties.