Abstract

A new method is proposed for calculating the free energy of the one·dimensional spin·l/2 XXZ Heisenberg model. The partition function is written in terms of the transfer matrix for a two· dimensional Ising system, whose maximum eigenvalue is obtained by the Bethe·ansatz method leading to the free energy in the thermodynamic limit. This method uses no such assumption as the completeness of the Bethe states that has been proved only partially and yields better results than the previous methods do.

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