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Soft Mode Of Magnons On A (001) Surface For A Semi-Infinite Cubic Frustrated Antiferromagnet

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  • M. TAMINE

    (Laboratoire de Physique de L’Etat Condensé, URA CNRS 807, Faculté des Sciences, Université du Maine, Le Mans Cedex, France)

Abstract

We make a theoretical study of the (001) surface magnons dispersion curves. Their localized energy states are calculated by Green function and matching procedure methods which are used simultaneously in the case of semi-infinite cubic frustrated Heisenberg antiferromagnets. Magnetic frustration phenomena originate from competing effects between the first neighbor$(J_{AB}^{1\nu})$and second neighbor$(J_{AA (BB)}^{2\nu})$interactions. This magnetic frustration is quantized by the$J_{AB}^{1\nu} /J_{AA (BB)}^{2\nu}$ratio. It is the first time that such a detailed application of the matching procedure is presented in order to calculate the surface magnon dispersion. It is found that, when$J_{AB}^{1\nu} /J_{AA (BB)}^{2\nu}\approx 4$, a magnetic phase transition also exists at the surface, as previously observed in the bulk, in accordance with the results predicted by computer simulation.

Suggested Citation

  • M. Tamine, 1996. "Soft Mode Of Magnons On A (001) Surface For A Semi-Infinite Cubic Frustrated Antiferromagnet," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 1511-1522.
    • Handle: RePEc:wsi:srlxxx:v:03:y:1996:i:04:n:s0218625x96002515
    DOI: 10.1142/S0218625X96002515
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    ; 7530 D; 7530 E; 7530 T;
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