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The Heisenberg antiferromagnent on a triangular lattice: A renormalisation group study

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the Heisenberg antiferromagnet in two dimensions on a triangular lattice. Using the coherent state representation for spinS≫1 and performing the spatial continuum limit we arrive at the actionL of a nonlinear σ model. The consituent classical fields ofL are a set of three three-dimensional orthogonal unit vectors. The origin of the symmetrics ofL is uncovered. We investigate this model by a one-loop renormalisation group analysis. In the high temperature limit as well as at zero temperature, the model scales to a fixed point of higher symmetry.

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Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Bundesallee 100, W-3300, Braunschweig, Federal Republic of Germany

    W. Apel

  2. Institut für Theoretische Physik, Universität Hannover, Appelstrasse 2, W-3000, Hannover 1, Federal Republic of Germany

    M. Wintel & H. U. Everts

Authors
  1. W. Apel
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  2. M. Wintel
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  3. H. U. Everts
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Work supported in part by the Deutsche Forschungsgemeinschaft

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Apel, W., Wintel, M. & Everts, H.U. The Heisenberg antiferromagnent on a triangular lattice: A renormalisation group study. Z. Physik B - Condensed Matter 86, 139–143 (1992). https://doi.org/10.1007/BF01323558

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  • DOI: https://doi.org/10.1007/BF01323558

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