Statistical mechanics of a magnetic chain

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Abstract
We present here a detailed analysis of the thermodynamic properties of an easy-plane ferromagnetic chain. The analysis is based on transfer-matrix methods and contains two principal results. In the first case we show how the effects of the recently discovered soliton distortion appear in a transfer-matrix calculation. The transfer-matrix wave function acquires additional structures representing these distortions. The second result pertains to the derivation of an effective sine-Gordon theory where the distortion effects are represented by temperature-dependent renormalized interaction constants.