Role of open boundaries in the Bethe ansatz solution of the Kondo problem

Zvyagin, A. A.

doi:10.1103/PhysRevB.66.174430

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Role of open boundaries in the Bethe ansatz solution of the Kondo problem

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Zvyagin, A. A.
Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Zvyagin, A. A. (2002). Role of open boundaries in the Bethe ansatz solution of the Kondo problem. Physical Review B, 66(17): 174430, pp. 174430-174430. doi:10.1103/PhysRevB.66.174430.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-30E1-5

Abstract

The Bethe ansatz solution for the Kondo problem with open boundary conditions is presented. We show that one of the features of the generic Kondo effect-the finite magnetic susceptibility at low energies (present in the Bethe ansatz solution for periodic boundary conditions for the same model)- is absent due to the effect of open edges, if one considers the total effect of the impurity and the open edge together. However, we show that the behavior of the dynamical magnetic impurity itself is similar for periodic and open boundaries. It is shown that a real static boundary local potential (magnetic field) cannot model all features of the behavior of the dynamical magnetic impurity in the generic Kondo situation.