Two Magnetic Impurities in a Spin Chain

Details Two Magnetic Impurities in a Spin Chain Two Magnetic Impurities in a Spin Chain

1998-07-18

arxiv.org/abs/cond-mat/9807263v1

Phys. Rev. B 58, R2925-R2928 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, Revtex, To appear in Phys. Rev. B (as Rapid Communications)

Scientific paper

10.1103/PhysRevB.58.R2925

In this letter, the Kondo magnetic effect is studied for the $XXZ$ spin chain where the impurities are coupled to the edges of the system. The Hamiltonian of our model can be constructed from the transfer matrix. It is exactly solvable and the exchange constants between the bulk and the boundary impurities are arbitrary. The finite size corrections to the ground state energy are obtained for the magnetic impurities and the boundary condition. The specific heat and the susceptibility contributed by the impurities are derived and the Kondo temperature is given explicitly by the use of the Luttinger-Fermi liquid picture and the Bethe ansatz method.

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