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Woodford, S R; Barashenkov, I V, E-mail: s.woodford@fz-juelich.de, E-mail: Igor.Barashenkov@uct.ac.za, E-mail: igor@odette.mth.uct.ac.za2008
AbstractAbstract
[en] We consider the one-dimensional anisotropic XY model in the continuum limit. Stability analysis of its Bloch wall solution is hindered by the non-diagonality of the associated linearized operator and the Hessian of energy. We circumvent this difficulty by showing that the energy admits a Bogomolnyi bound in elliptic coordinates and that the Bloch wall saturates it-that is, the Bloch wall renders the energy minimum. Our analysis provides a simple but nontrivial application of the BPS (Bogomolnyi-Prasad-Sommerfield) construction in one dimension, where its use is often believed to be limited to reproducing results obtainable by other means
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Source
S1751-8113(08)69456-1; Available from http://dx.doi.org/10.1088/1751-8113/41/18/185203; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 41(18); [11 p.]

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