Absence of overscreened Kondo effect in ferromagnetic host
  We study the low temperature behavior of a boundary magnetic impurity S'=1/2 in an open ferromagnetic Takhatajian-Babujian spin-S chain. For antiferromagnetic Kondo coupling, it is show via Bethe ansatz solution that the impurity spin is always locked into the critical behavior the bulk. At low temperature, a local composite of spin S-1/2 forms near the impurity site and its contribution to specific heat is of simple power law T^{1/2}. The absence of overscreened Kondo effect is due to the large correlation length of host spins which is divergent near the quantum critical point. 
Jianhui Dai (1) and Yupeng Wang (2) ((1)Zhejiang Institute of Modern   Physics, Hangzhou (2)Institute of Physics, Chinese Ac...