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A weakly anisotropic ferromagnetic Kondo model with an integer impurity spin is investigated as an effective Hamiltonian for the underscreened Kondo physics. It is shown by using the numerical renormalization group (NRG) method that the thermodynamic properties exhibit an unexpected heavy fermion behavior at low temperatures. The mechanism of the heavy fermion formation and an approximated analytic formula for the γ value of the specific heat have been discussed in conjunction with the fixed point analysis in the NRG method.
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