Abstract
We investigate a spin 1/2 Heisenberg antiferromagnet (AFM) H = J1 ∑ Ni =1 s0s i + J2HRs i describing a central spin which interacts with a surrounding medium hr. We present general relations for the eigen values, the eigen states and the spin correlation function and study the model in more detail for Hr being either a linear chain or a Lieb-Mattis AFM. Additional to the ground state properties we calculate the full thermodynamics in the case of Hr being a Lieb-Mattis AFM.
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