By using the transfer matrix renormaiization group method, we studied the magnetic and thermodynamic properties of the uniform and the nonuniform quantum Heisenberg spin chain with S = 1/2. Compared with experiment results of some compounds, we investigated the effects of different interactions among the magnetic irons of the quantum system, and it is found that the ferro- and antiferromagnetic interaction affect the magnetic characteristics of the system and play important roles in determining the internal energy and the specific heat at finite temperature. (c) 2006 Elsevier B.V. All rights reserved.
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