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Mean-field theory of discommensurations in ANNNI-systems

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Zeitschrift für Physik B Condensed Matter

Abstract

A method which allows a convenient treatment of domain walls and discommensurations (DCs) in spin lattices is used to determine the structure and the free energy of isolated discommensurations in ANNNI systems as well as their interaction energies,. Considered in detail are DCs in the antiphase structure (<2>-phase). The method makes use of an expansion of the mean field equations about the relevant (in the present case the antiphase-)fixed point. Analytical expressions are presented, exhibiting spatial oscillations of the DC-interaction which are shown to be related to the stable focus characteristics of the antiphase fixed point. As a consequence of these oscillations the transitions at the antiphase boundary are of first order everywhere except at themultiphase point.

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Authors and Affiliations

  1. Theoretische Physik, Universität des Saarlandes, D-6600, Saarbrücken, Federal Republic of Germany

    T. Tentrup & R. Siems

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  1. T. Tentrup
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  2. R. Siems
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Tentrup, T., Siems, R. Mean-field theory of discommensurations in ANNNI-systems. Z. Physik B - Condensed Matter 72, 503–513 (1988). https://doi.org/10.1007/BF01314532

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  • DOI: https://doi.org/10.1007/BF01314532

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