Title
"A solvable XXZ model with an impurity"
Ryoko Yahagi (Ochanomizu University)
Abstract
We introduce a solvable XXZ model with an impurity, which is represented by a continuous parameter. The Hamiltonian is constructed by means of the algebraic Bethe ansatz. We provide the explicit expression of the Hamiltonian in terms of the spin operators. This allows us to use the exact diagonalization method and compare its results with analytic solutions obtained from the Bethe ansatz equations. We show that these two coincide in its ground state energy as a function of the impurity parameter.
Moreover, this kind of models with impurities can be related to the Kondo effect. We discuss the Wilson ratio of this model in the last place.
