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Static properties of the one-dimensional planar ferromagnet in an external field

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Zeitschrift für Physik B Condensed Matter

Abstract

The thermodynamic functions and the correlation length of the classical one-dimensionalX Y model in an external field are calculated by the numerical integration of the transfer matrix equation in both ferro- and antiferromagnetic cases. We show that for a finite but weak magnetic field the low temperature structure of the ferromagnetic partition function consists of a spin-wave part and a factor corresponding to the interaction of topological excitations. The contributions of the soliton like topological objects to the static properties are calculated through a systematic perturbative method. Finally we discuss in detail the regions of validity of different analytical approaches by comparing them with our exact numerical solution.

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Authors and Affiliations

  1. Department of Atomic Physics, Roland Eötvos University, Puskin u. 5-7, H-1088, Budapest, Hungary

    A. Patkós

  2. Institute for Theoretical Physics, Roland Eötvos University, Puskin u. 5-7, H-1088, Budapest, Hungary

    P. Ruján

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  1. A. Patkós
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  2. P. Ruján
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Patkós, A., Ruján, P. Static properties of the one-dimensional planar ferromagnet in an external field. Z Physik B 33, 163–171 (1979). https://doi.org/10.1007/BF01323689

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  • DOI: https://doi.org/10.1007/BF01323689

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