INTEGRABLE SUPERSYMMETRIC T-J MODEL WITH MAGNETIC IMPURITY

We consider the one-dimensional t-J model, which consists of spin-1/2 electrons on a lattice with nearest neighbor hopping t constrained by the excluded multiple occupancy of the lattice sites and spin-exchange I between neighboring sites. The model is integrable at the supersymm etric point, J=2t. We extend the model by introducing an impurity of a rbitrary spin S that interacts with the electrons on the neighboring s ites without destroying the integrability. The lattice model is define d by the scattering matrices via the quantum inverse scattering method . The interaction Hamiltonian between the impurity and the itinerant e lectrons is only explicitly constructed in the continuum limit. The di screte Bethe ansatz equations diagonalizing the model are derived and the solutions are classified according to the string hypothesis. The t hermodynamic Bethe ansatz equations are derived and the impurity free energy is obtained for arbitrary bandfilling as a function of temperat ure and external magnetic field. The properties of the impurity depend on one coupling parameter. The impurity can localize up to one itiner ant electron and has in general mixed valent properties. The integer v alent low T small H fixed point of the impurity corresponds to an asym ptotically free spin S, while if either T or H (or both) become large the impurity behaves like an asymptotically free spin (S+1/2).